3,844 results on '"Pure shear"'
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2. Stahlbetonbalken unter reiner Querkraftbeanspruchung.
- Author
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Schmidt, Thilo, Feldick, Lion, Dridiger, Andreas, and Albert, Andrej
- Subjects
- *
SHEARING force , *BENDING moment , *TORQUE , *REINFORCED concrete , *MOLECULAR force constants - Abstract
Concrete beam under pure shear load conditions The shear force capacity of reinforced concrete components is usually investigated experimentally by subjecting the test specimens to vertical loads. These loads induce internal forces in the form of bending moments and shear forces. However, these internal forces cannot be controlled independently under such loading conditions. This article presents a test set‐up that allows a constant bending moment and a constant shear force of any magnitude to be generated in reinforced concrete beams. The loading situation to generate a constant shear force in a beam with a rectangular cross‐section was realized in three component tests. In addition, an FEM model was developed for comparative calculations. The component tests showed a brittle failure. With regard to the load‐displacement behavior and the calculated load‐bearing capacities, there was good agreement between the component tests and the corresponding FEM simulations. The test setup presented here is generally considered suitable for generating a state of pure shear force in reinforced concrete beams. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
3. Optimizing Pure Shear Experiment to Properly Characterize the Shear Properties of Thin-Walled Aluminum Alloy Tubes.
- Author
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Zhang, S., Wang, X., Hu, W., and Liu, G.
- Subjects
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SHEAR (Mechanics) , *ALUMINUM tubes , *MATERIAL plasticity , *SHEARING force , *STRAINS & stresses (Mechanics) - Abstract
Background: For an anisotropic thin-walled tube without changing its circular geometry, only the experimental data of initial yield and subsequent plastic deformation along the axial and circumferential directions can be obtained till now. These experimental data are not sufficient to construct an anisotropic constitutive relation for simulations of tube deformation processes. Objective: A novel shear test of tubular materials is proposed to achieve the state of shearing plastic deformation along the axial direction of thin-walled tubes. Methods: Two semi-circle mandrels and one specially designed tubular specimen are used in the shear experiment. Optimizations of the specimen shape and mandrel structure were carried out by using FE simulation. The influence of the specimen shape, such as the length of the shear zone and the length of the axial slot, on the stress state of the shear zone was discussed. A thin-walled 5052 aluminum tube was used in the shear experiment using the optimized specimen shape. To understand the corresponding relationship between the tensile properties and the shear properties of an anisotropic tube, the uniaxial tension stress-strain relationship was equivalently transformed to the shear stress-stain relationship using the Mises, Tresca, Hill48, and Barlat-lian constitutive functions. Results: After optimizing the specimen shape, the shearing condition of the tested tube is closer to the pure shear stress state. Based on the tests, the pure shear stress state can be maintained to a large deformation extent. The experimental shear stress-strain relationship was compared with the converted stress-strain relationship based on the uniaxial tension tests using the Mises, Tresca, Hill48, and Barlat-lian constitutive functions. The results show a large difference between the transformed stress-strain relationship and the shear stress-strain relationship. Conclusions: This testing method can provide necessary empirical data with the principal stress directions along the direction at an angle of 45° to the tube axis. The shear plastic deformation properties of some anisotropic materials cannot be equivalently described by the experimental data of the tensile test. The shearing characteristics obtained by this novel experimental method can be applied to the characterizations of anisotropic constitutive relations for simulations of tube deformation processes. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
4. In Situ Pure Shear Tests on Textured Magnesium AZ31B Sheets.
- Author
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Whitmore, Lawrence, Nischler, Anton, Saage, Holger, and Huber, Otto
- Subjects
MAGNESIUM ,GAGES ,TRANSMISSION electron microscopy ,SHEARING force ,ELECTRON diffraction ,SCANNING electron microscopes - Abstract
Pure shear tests of textured magnesium AZ31B sheet samples were carried out using a 5 kN Kammrath & Weiss in situ tension-compression stage in a scanning electron microscope in combination with real-time electron backscatter diffraction lattice orientation mapping. The sample design was optimized to produce a pure shear stress in the central gauge zone. Distributions of the deformation twins were correlated with finite element simulations using a linear-elastic constitutive law considering large deformations to show that twins form in areas where the principal compressive stress σ 3 * is a maximum and that they form normal to the trajectories of that minor principal stress. Mappings of the same area at different load values revealed the formation and growth of individual twins and their relationship to the internal elastic strain of individual grains as indicated by the internal grain disorientation. All twins observed were of the extension type, with an 86.3° disorientation with respect to the parent grains. A more detailed study was conducted using transmission electron microscopy to correlate with the EBSD observations and to further elucidate the twin structures within samples. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
5. Experimental and numerical analysis of different vertical connections of precast shear walls with special regard towards deformability.
- Author
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Miclăușoiu, Dan‐Andrei, Nedelcu, Mihai, and Blanksvärd, Thomas
- Subjects
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SHEAR walls , *NUMERICAL analysis , *PRECAST concrete , *WALL panels , *FINITE element method - Abstract
Nowadays precast concrete multi‐story dual system structures require Finite Element Method structural analysis. The stiffness of the vertical connections between wall panels influences the internal forces distribution. European standard EN 1992‐1‐1 recommends verification of strength and deformability of precast connections to be assisted by testing. Six different connection layouts were tested under pure shear with a special attention towards deformability. All connections showed close to/equivalent monolithic initial stiffness. Depending on the connection layout, the post‐cracking stiffness is reduced. The equation for shear resistance of interfaces between concrete cast at different times according to EN 1992‐1‐1 can lead to significant estimation errors due to its weak physical meaning (in disagreement with experimental observed failure mechanisms). A non‐linear finite element analysis solution strategy is validated by experimental results that shows how stochastic parameters can inflict large variation in terms of strength and stiffness. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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6. Theory of Stress Analysis
- Author
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Sujatha, C. and Sujatha, C.
- Published
- 2023
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7. Viscoplastic simple shear at finite strains.
- Author
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Califano, F. and Ciambella, J.
- Subjects
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SHEAR strain , *SHEAR (Mechanics) , *NONLINEAR evolution equations , *ELASTIC deformation , *VISCOPLASTICITY , *TORSION - Abstract
The equations governing the simple shear deformation of an incompressible inelastic material undergoing finite strain are derived in this paper. The constitutive assumptions are kept in their most general form to allow the incorporation of widely used viscoplastic or viscoelastic models from the literature. It is shown that, while for a hyperelastic material the simple shear problem is completely determined by a single parameter, the amount of shear, in the viscoplastic case, the elastic deformation is the superposition of a triaxial stretch and a simple shear, whose determination requires the solution of three coupled nonlinear evolution equations. We evaluate such a solution for different material models and compare it with three-dimensional finite element simulations to assess its accuracy. We further assess the performance of these models using experimental data from filled rubber, focusing on their ability to capture the observed behaviour, such as the well-known Payne effect. Additionally, we extend our simple shear solution to address torsion and the extension of thin-walled cylinders. These derivations and analyses offer valuable insights for experimentalists engaged in the mechanical characterization of soft materials. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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8. Failure Analysis of Torsion Shaft of Air Starter to External Gear Box of an Aero-engine: A Case of Complete Shear.
- Author
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Hazra, Mrityunjoy and Singh, A. K.
- Subjects
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FAILURE analysis , *HEAT treatment , *SHEARING force , *FAILURE (Psychology) , *TORSION , *MICROSTRUCTURE - Abstract
Torsion shaft was found broken as strip operation of the air starter was completed, while air starter over-speeding message came on multiple functional display (MFD) during startup of an aero-engine. Two failed shaft parts were received by the investigating team for failure analysis. The failure of both the components has occurred under the influence of maximum shear stress acting perpendicular to the shaft major axis. The fracture surfaces show the presence of shear dimples, the extent of which increases from center to periphery of the shaft. Rubbing is observed across the major part, most likely due to the running of the shaft for few cycles even after the failure of the shaft. Microstructure, hardness values and chemical compositions of both failed shaft parts indicate that the material of construction is close to 30KhGSHA. Two distinct appearances with whitish and bluish color along with slight difference in dimensions as well as in microstructures (discontinuous and continuous banding) indicate the probability that the received failed parts belong to two different shafts. However, the parts are said to be from one single failed shaft only, as by the user. Thus, the above-mentioned differences have been ascribed to the local variations in thermo-mechanical processing employed and subsequent heat treatment. An additional factor may have been frictional heating which has altered the microstructures in localized regions. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
9. In Situ Pure Shear Tests on Textured Magnesium AZ31B Sheets
- Author
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Lawrence Whitmore, Anton Nischler, Holger Saage, and Otto Huber
- Subjects
in situ testing ,pure shear ,electron backscatter diffraction ,magnesium AZ31B ,deformation twinning ,twin growth ,Mining engineering. Metallurgy ,TN1-997 - Abstract
Pure shear tests of textured magnesium AZ31B sheet samples were carried out using a 5 kN Kammrath & Weiss in situ tension-compression stage in a scanning electron microscope in combination with real-time electron backscatter diffraction lattice orientation mapping. The sample design was optimized to produce a pure shear stress in the central gauge zone. Distributions of the deformation twins were correlated with finite element simulations using a linear-elastic constitutive law considering large deformations to show that twins form in areas where the principal compressive stress σ3* is a maximum and that they form normal to the trajectories of that minor principal stress. Mappings of the same area at different load values revealed the formation and growth of individual twins and their relationship to the internal elastic strain of individual grains as indicated by the internal grain disorientation. All twins observed were of the extension type, with an 86.3° disorientation with respect to the parent grains. A more detailed study was conducted using transmission electron microscopy to correlate with the EBSD observations and to further elucidate the twin structures within samples.
- Published
- 2024
- Full Text
- View/download PDF
10. Defining Equations of the Anisotropic Moment Linear Theory of Elasticity and the Two-Dimensional Problem of Pure Shear with Constrained Rotation.
- Author
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Annin, B. D., Ostrosablin, N. I., and Ugryumov, R. I.
- Abstract
The paper presents the equations of the linear moment theory of elasticity for the case of arbitrary anisotropy of material tensors of the fourth rank. Symmetric and skew-symmetric components are distinguished in the defining relations. Some simplified versions of linear defining relations are considered. The possibility of Cauchy elasticity is allowed when material tensors of the fourth rank do not have the main symmetry. For material tensors that determine force and couple stresses, we introduce eigenmoduli and eigenstates that are invariant characteristics of an elastic moment medium. For the case of plane deformation and constrained rotation, an example of a complete solution of the two-dimensional problem is given when there are only shear stresses. The solutions turn out to be significantly different for anisotropic and isotropic elastic media. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
11. The shear performance of uniaxially thermoformed auxetic polymer foams.
- Author
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Zhang, Qicheng, Yu, Xindi, Xia, Yuying, Zhang, Dayi, Lakes, Roderic S., Wojciechowski, Krzysztof W., and Scarpa, Fabrizio
- Subjects
- *
POISSON'S ratio , *MODULUS of rigidity , *FOAM cells , *FINITE element method , *CELL anatomy , *FOAM , *AUXETIC materials , *SHEAR strain - Abstract
We study the shear behavior of pristine and uniaxially thermoformed auxetic foams using three different shear testing techniques and finite element simulations. A novel simple shear test rig with sliding lateral supports was developed and compared to fixed simple shear and diagonal pure shear rigs. The three rigs yield similar results at shear strains under 8 %, but the fixed simple shear rig shows a significant rise in shear modulus and stiffness at higher strains. In contrast, the sliding simple shear and diagonal pure shear rigs exhibit similar linear results up to 20 % shear strain. The thermoformed auxetic foam displays strong orthotropy, with a shear modulus of 35 kPa along the thermoforming direction and 0.1 MPa in the transverse directions. The pristine foam shows good isotropy under shear, with a similar 50 kPa shear modulus in all directions. The auxetic foam expands slightly along the thermoforming direction at high strains, while the pristine foam and auxetic foam in other directions show noticeable shrinkage. Finite element models based on 3D μ-CT scans, using a new boundary coupling element to apply periodic boundary conditions, closely matched the experimental results. The simulations revealed the deformation mechanisms within the foam cell structures that contributed to the observed orthotropic shear behavior. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
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12. Determining Parametrical Functions Defining the Deformations of a Plane Strain Tensile Rubber Sample
- Author
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Stoček, R., Stěnička, M., Maloch, J., Abe, Akihiro, Editorial Board Member, Albertsson, Ann-Christine, Editorial Board Member, Coates, Geoffrey W, Editorial Board Member, Genzer, Jan, Editorial Board Member, Kobayashi, Shiro, Editorial Board Member, Lee, Kwang-Sup, Editorial Board Member, Leibler, Ludwik, Editorial Board Member, Long, Timothy E., Editorial Board Member, Möller, Martin, Editorial Board Member, Okay, Oguz, Editorial Board Member, Percec, Virgil, Editorial Board Member, Tang, Ben Zhong, Editorial Board Member, Terentjev, Eugene M., Editorial Board Member, Theato, Patrick, Editorial Board Member, Voit, Brigitte, Editorial Board Member, Wiesner, Ulrich, Editorial Board Member, Zhang, Xi, Editorial Board Member, Heinrich, Gert, editor, Kipscholl, Reinhold, editor, and Stoček, Radek, editor
- Published
- 2021
- Full Text
- View/download PDF
13. Underthrusting and Pure Shear Mechanisms Dominate the Crustal Deformation Beneath the Core of the Eastern Himalayan Syntaxis as Inferred From High‐Resolution Receiver Function Imaging.
- Author
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Xu, Qiang, Ding, Lin, Pei, Shunping, Yuan, Xiaohui, Zhao, Junmeng, Liu, Hongbing, Liu, Hanlin, Li, Lei, and Zuo, Hong
- Subjects
- *
DEFORMATIONS (Mechanics) , *MOHOROVICIC discontinuity , *GROUP velocity , *THRUST faults (Geology) , *IMAGING systems in seismology , *SHEAR zones , *SUTURE zones (Structural geology) - Abstract
How the crust in the core of the Eastern Himalayan Syntaxis (EHS) deforms responding to the India‐Asia collision remains ambiguous. Here we present the first high‐resolution receiver functions image of crustal structure along a new NW‐SE trending dense nodal array crossing the core of the EHS. Two sets of low velocity zones (LVZs) are clearly observed: one with a flat style beneath the western Lhasa terrane and Higher Himalaya at 18–20 km depth and the other with two west‐dipping shapes below the western Yarlung‐Zangbo suture within 10–30 km depth. These LVZs caused by partial melting and aqueous fluids are disconnected, impeding the formation of crustal flow. A discontinuous east‐dipping intra‐crustal discontinuity and a sharp Moho offset of 7 km under the Aniqiao‐Motuo shear zone are identified, suggesting that the underthrusting of the Indian lower crust and pure shear mechanisms jointly dominate crustal deformation in the core of the EHS. Plain Language Summary: The tectonic evolution of the Eastern Himalayan Syntaxis (EHS) involves complex tectonic activities such as collision, subduction, and rapid exhumation, making the EHS an ideal site for studying the dynamics of continental collision processes. Strong crustal shortening occurs during the formation of the EHS, but the specific mechanism that accommodates this crustal deformation remains unclear. In this study, we construct a novel seismic image of crustal structure with unprecedented details along a recently deployed dense nodal array that traverses the core of the EHS. We observe two unconnected groups of low velocity zones, which call into question the validity of the crustal flow model in the core of the EHS. Our observations indicate that the underthrusting of the Indian lower crust and pure shear mechanisms, rather than a model of vertically coherent deformation, account for the present crustal deformation in the core of the EHS. Key Points: First high‐resolution image of crustal structure in the core of the Eastern Himalayan Syntaxis is constructed from P receiver functionsTwo disconnected groups of low velocity zones are observed in upper to middle crust, which prevents the development of crust flowAn intra‐crustal interface and a Moho offset we find suggest that underthrusting and pure shear mechanisms dominate crustal deformation [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
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14. Non-uniform B-spline curve analyses of sigmoid brittle shear P- and ductile shear S-planes.
- Author
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Biswas, Tuhin and Mukherjee, Soumyajit
- Subjects
- *
ROTATIONAL symmetry , *SOFTWARE development tools , *REGRESSION analysis , *STRUCTURAL geology - Abstract
Ideal morphologic representation of geologic structures using standard curves/surfaces can have far-reaching implications in estimating resources. From NW Lesser Himalaya (Uttarakhand state, India), field photographs of fully developed sigmoid-shaped brittle shear P- and ductile shear S- planes that crop out on the NW–SE (sub)vertical natural sections of rocks are matched by drawing curves using the B-spline tool in Rhinoceros software 5 SR service in 2D. These curves are advantageous to handle since the user can control their degrees, the control points are not the deciding factors, and that local modifications in shapes are permitted, unlike the Bézier curves. Sigmoid shapes are analyzed in detail using six shape parameters (lengths in between control points: L1, L2 and L3; angles in between control points: α1, α2 and α3). Good correlations between L3 vs. L1, L2 vs. L3 and L1 vs. L2 reveal the relation between wavelength (λ) and amplitude of the sigmoids that are classified into four types. Strong correlation between α2 vs. α3 and (α3−α1) vs. (α1− α2) suggest only the Type I, II and III sigmoids possess 180° rotational symmetry. Regression models (R2 values) demonstrate that the sigmoid geometries are governed by (1) pre-existing or co-evolving regional structures and (2) lithologic composition. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
15. How well do 3D-printed tissue mimics represent the complex mechanics of biological soft tissues? An example study with Stratasys' cardiovascular TissueMatrix materials.
- Author
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Bechtel GN, Kostelnik CJ, and Rausch MK
- Abstract
Tissue mimicking materials are designed to represent real tissue in applications such as medical device testing and surgical training. Thanks to progress in 3D-printing technology, tissue mimics can now be easily cast into arbitrary geometries and manufactured with adjustable material properties to mimic a wide variety of tissue types. However, it is unclear how well 3D-printable mimics represent real tissues and their mechanics. The objective of this work is to fill this knowledge gap using the Stratasys Digital Anatomy 3D-Printer as an example. To this end, we created mimics of biological tissues we previously tested in our laboratory: blood clots, myocardium, and tricuspid valve leaflets. We printed each tissue mimic to have the identical geometry to its biological counterpart and tested the samples using identical protocols. In our evaluation, we focused on the stiffness of the tissues and their fracture toughness in the case of blood clots. We found that the mechanical behavior of the tissue mimics often differed substantially from the biological tissues they aim to represent. Qualitatively, tissue mimics failed to replicate the traditional strain-stiffening behavior of soft tissues. Quantitatively, tissue mimics were stiffer than their biological counterparts, especially at small strains, in some cases by orders of magnitude. In those materials in which we tested toughness, we found that tissue mimicking materials were also much tougher than their biological counterparts. Thus, our work highlights limitations of at least one 3D-printing technology in its ability to mimic the mechanical properties of biological tissues. Therefore, care should be taken when using this technology, especially where tissue mimicking materials are expected to represent soft tissue properties quantitatively. Whether other technologies fare better remains to be seen., (© 2024 Wiley Periodicals LLC.)
- Published
- 2024
- Full Text
- View/download PDF
16. Shear and Flexure
- Author
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Brown, Roger and Brown, Roger
- Published
- 2018
- Full Text
- View/download PDF
17. Experimental determination of deformation homogeneity and shear states using the digital image correlation method
- Author
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J.C.A.D. Filho and L.C.S. Nunes
- Subjects
Kinematic vorticity parameter ,Simple shear ,Pure shear ,Homogeneity estimation ,2D-DIC ,Polymers and polymer manufacture ,TP1080-1185 - Abstract
One of the great challenges in the pure shear and simple shear tests is to maintain the deformation state and deformation homogeneity of a specimen under large deformations. For this reason, the aim of this work is to investigate the state of shear deformation and degree of deformation homogeneity of three different shear specimens. A simple and easily replicable methodology was proposed to estimate the degree of deformation homogeneity of specimens, while a time-independent kinematic vorticity parameter was employed to identify pure shear and simple shear deformation states. All data were obtained from full-field displacements that were extracted with the two-dimensional digital image correlation (2D-DIC) method. Specimens of polytetrafluoroethylene (PTFE) were tested using the modified slotted shear test and the V-notched rail shear test, which are used to induce a simple shear state. The planar tensile test was used to produce a pure shear state in a thin sheet of rubber-like material. For small deformations, both slotted and V-notched shear tests induced a good degree of deformation homogeneity along the shear path between the notches of specimens, mainly in the central region. However, the V-notched specimens buckled at large deformation, producing a decrease in the degree of deformation homogeneity. In this case, the results were qualitatively assessed due to the errors associated with out-of-plane motions. High degree of deformation homogeneity was also observed in pure shear specimens. All tests demonstrated to be effective for inducing a state of pure shear or simple shear. Results show that the two approaches can be used as supplementary tools for determining the state of shear deformation and degree of deformation homogeneity.
- Published
- 2021
- Full Text
- View/download PDF
18. On the New Shear Constraint for Plane-Stress Orthotropic Plasticity Modeling of Sheet Metals.
- Author
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Tong, W., Alharbi, M., and Sheng, J.
- Subjects
- *
SHEET metal , *ALUMINUM sheets , *SHEAR strain , *SHEARING force , *SHEET metal work , *POTENTIAL flow , *YIELD stress - Abstract
Background: A shear constraint was very recently proposed by Abedini et al. (Int. J. Solids and Structures 151: 118–134 2018) to evaluate and calibrate advanced non-quadratic anisotropic yield criteria and to eliminate what they called non-physical numerical artifacts in those criteria. Objective: This investigation points out that such a shear constraint is in fact unnecessary for plane-stress orthotropic plasticity in general. Methods: Using the well-known Hill's 1948 quadratic and Gotoh's 1977 quartic yield functions for orthotropic sheet metals in plane stress, it is shown analytically that pure shear stressing and pure shear straining loading conditions are not equivalent except for very special cases. By conducting a series of shearing experiments on an aluminum sheet metal, the actual test results are shown not to provide any unequivocal supporting evidence at all to the newly proposed shear constraint. Results: The so-called non-physical numerical artifacts of the non-equivalence in pure shear stressing and pure shear straining of a sheet metal are in fact the intrinsic features of an anisotropic material in general. Conclusions: The newly proposed shear constraint should thus not be accepted to be universally applicable at all for anisotropic plasticity modeling of sheet metals. Such a proposed constraint itself shall be regarded as a provisional simplifying assumption of reduced anisotropy only for some particular sheet metals under consideration. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
19. Experimental study and phenomenological modelling of flaw sensitivity of two polymers used as dielectric elastomers.
- Author
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Ahmad, Dilshad, Patra, Karali, and Hossain, Mokarram
- Subjects
- *
ELASTOMERS , *DIELECTRIC materials , *ENERGY harvesting , *POLYMERS , *FRACTURE toughness , *DIELECTRICS - Abstract
The extreme stretching of dielectric elastomers in sensors, actuators and energy harvesting devices is a common phenomenon where the materials are prone to fracture under the influence of flaws and notches. In this work, we have investigated the length of flaw sensitivities of two widely used dielectric materials, acrylic (VHB) and silicone (Ecoflex) elastomers under a pure shear loading and established that the length of flaw sensitivity of acrylic is almost double than that of silicone. Therefore, the acrylic elastomer is safer to operate for small notches as compared to the silicone material. However, within the flaw-sensitive length, failure stretch, fracture toughness and failure stress are more for Ecoflex than those for VHB. It is found that the failure stretch and the fracture toughness decrease drastically after the length of flaw sensitivities for both materials. Also, the failure stress keeps on decreasing with an increase in notch length for both materials. Afterwards, a simple phenomenological relation is proposed for fitting experimental results under a pure shear loading with only two parameters. The mathematical relation is valid for both the materials and covers the notch sensitivity with a good agreement. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
20. On higher order parameters in cracked composite plates under far‐field pure shear.
- Author
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Ghouli, Saeid, Ayatollahi, Majid R., and Nejati, Morteza
- Subjects
- *
COMPLEX variables , *COMPOSITE plates , *ANALYTICAL solutions , *DEFINITIONS - Abstract
This paper presents the analytical solution of the crack tip fields as well as the crack parameters in an infinitely large composite plate with a central crack subjected to pure shear loading. To this end, the complex variable method is employed to formulate an asymptotic solution for the crack tip fields in an anisotropic plane. Using a stress‐based definition of the crack tip modes of loading, only the mode II crack parameters are found to be non‐zero under pure shear load. Special focus is given to the determination of the higher order parameters of the crack tip asymptotic field, particularly the first non‐singular term, ie, the T‐stress. Unlike the isotropic materials, in which the T‐stress is zero under pure shear, it is found that the T‐stress is non‐zero for the case of anisotropic materials, being the only material‐dependent crack tip stress parameter. The veracity of our exact crack tip fields is assessed and verified through a comparison made with respect to the finite element (FE) solution. Finally, we demonstrate the significance of the T‐stress on stresses near the crack tip in composite plates under pure shear loads. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
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21. Using Coarse-Grained Molecular Models (Molecular-Mesoscale) of a Copper Oxide-Epoxy Interface to Obtain Stress–Strain Failure Predictions Which Include Interfacial Roughness, Water and Filler Effects
- Author
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Iwamoto, Nancy E., Wymyslowski, Artur, editor, Iwamoto, Nancy, editor, Yuen, Matthew, editor, and Fan, Haibo, editor
- Published
- 2015
- Full Text
- View/download PDF
22. Mechanical Characterization and Modeling of Ceramic Foam Materials
- Author
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Daniel, I. M., Fenner, J. S., Chen, M.-Y., Tandon, G P, editor, Tekalur, Srinivasan Arjun, editor, Ralph, Carter, editor, Sottos, Nancy R, editor, and Blaiszik, Benjamin, editor
- Published
- 2014
- Full Text
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23. Kinematics
- Author
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Freed, Alan D., Bellomo, Nicola, Series editor, and Freed, Alan D.
- Published
- 2014
- Full Text
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24. Mechanics of Fold Development in Pure- and Simple Shear
- Author
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Llorens, Maria-Gema, Bons, Paul D, Griera, Albert, Gomez-Rivas, Enrique, Blondel, Philippe, Series editor, Reitner, Joachim, Series editor, Stüwe, Kurt, Series editor, Trauth, Martin H., Series editor, Yuen, David A., Series editor, Pardo-Igúzquiza, Eulogio, editor, Guardiola-Albert, Carolina, editor, Heredia, Javier, editor, Moreno-Merino, Luis, editor, Durán, Juan José, editor, and Vargas-Guzmán, Jose Antonio, editor
- Published
- 2014
- Full Text
- View/download PDF
25. Pure shear deformation and its induced mechanical responses in metallic glasses.
- Author
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Zhukun Zhou, Hao Wang, and Mo Li
- Subjects
- *
METALLIC glasses , *MECHANICAL behavior of materials , *FRACTURE mechanics , *SHEAR strain , *ELASTIC constants - Abstract
Shear is a basic deformation mode governing yielding, plasticity and fracture in metallic solids. For amorphous metals, due to various constraints, little work is available in addressing directly shear deformation and shear-induced mechanical property changes which are vital to the mechanistic understanding of this new class of disordered materials. Here, by using a finite deformation theory, we examine the pure shear deformation in a bulk metallic glass in a large range of shear strains. With the continuum approach, we show systematically for the first time the detailed shear deformation behaviours, shear-induced normal stress and strain relations, softening in the elastic constants, volume dilatation and free energy change induced by the shear deformation. These results point to two major consequences from the shear deformation, one is the mechanical degradations and the other material degradation which is responsible for the changes in the mechanical properties of the disordered materials. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
26. Two-way approach for deformation analysis of non-crimp fabrics in uniaxial bias extension tests based on pure and simple shear assumption.
- Author
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Pourtier, Jean, Duchamp, Boris, Kowalski, Maxime, Wang, Peng, Legrand, Xavier, and Soulat, Damien
- Abstract
In-plane shear is considered as the main deformation mechanism during the forming of fabrics on double curved geometries. Non-Crimp Fabrics (NCFs) are more and more used in the industry thanks to their high mechanical performances. The uniaxial bias extension (UBE) test is commonly used for characterizing the in-plane shear behavior of fabrics. However, presence of slippages calls the reliability of this test into question for NCF material. These slippages lead to a macroscopic kinematic which does not respect the fundamental hypotheses of UBE test theory. The variety of NCF architectures is usually pointed while the lack of standardized experimental methods is seldom discussed. The first section of this paper presents a two-way approach to detect slippage on an NCF. This approach is based on two kinematical descriptions of the UBE test. The first one assumes a pure shear behavior whereas the second one assumes a simple shear behavior. These behaviors correspond respectively to the rotation of fibers and to the slippage of fibers from a macroscopic point of view. In the second section, the two-way approach is used to analyze experimental UBE tests. This investigation highlights the influence of the sample width on the deformation mode during a UBE test. More precisely, it is shown that increasing the sample width of NCF specimens improves the UBE test reliability. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
27. Stress and strain evolution during single-layer folding under pure and simple shear.
- Author
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Llorens, Maria-Gema
- Subjects
- *
DEFORMATIONS (Mechanics) , *STRAIN tensors , *STRAIN rate , *FINITE element method , *ROCK deformation , *KINEMATICS - Abstract
Folds in rocks are commonly used in geology for strain analysis. They contain information about rock rheology, and the kinematics and mechanics of deformation. The systematic analysis of the evolution of stress and strain during rock folding can provide key information on the mechanical behaviour of rocks and the efficiency of the folding process. In order to investigate the evolution of rock rheology during fold development, a series of two-dimensional simulations of single-layer folding are presented here. They are run using the finite element method BASIL, integrated within the software platform ELLE, to simulate linear and non-linear viscous deformation. The kinematics of deformation, the competence ratio between the folding layer and surrounding matrix as well as the stress exponent of the power-law viscous material are systematically varied. The results allow comparing the stages of folding under different deformation kinematic conditions. For all simulations the folding amplification process starts when the second invariant of the strain rate tensor in the competent layer deviates from the theoretical strain rate curve for a homogeneous material, which corresponds to a viscosity ratio between layer and matrix of m = 1. The relative time when the fold amplification starts is determined by the viscosity ratio between the competent layer and its surrounding matrix, the initial layer orientation with respect to the shear plane, the kinematics of deformation and the stress exponent. The folding process is more effective in cases with high viscosity ratio, non-linear rheology and layers initially oriented at a low angle with respect to the shear plane, because the second invariant of the strain rate tensor at the layer deviates earlier from the theoretical curve. The results also show differences depending on the boundary conditions, where (1) folding a competent layer requires less work in simple shear than in pure shear, and (2) the geometrical softening experienced by the competent layer due to fold development is followed by a hardening stage in pure shear and by a major softening phase in simple shear. The simulation results suggest that the decrease of stress of a competent layer without decreasing the mechanical strength has a direct influence on the behaviour of a lithospheric layer around the crust-mantle boundary, which may experience geometrical softening depending on the tectonic settings rather than material softening due metamorphic reactions or grain size reduction. • Simulations of a single layer deformed in pure and simple shear are presented. • The stress and strain evolution of the layer during deformation is investigated. • Viscosity ratio, layer orientation and stress exponent have a first-order impact on folding. • Geometrical softening is clearly observed in pure and simple shear simulations. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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28. Relationship between fractures patterns and fold kinematics; the case study of Jebel Sehib, a typical fault-propagation fold of southern Tunisia.
- Author
-
Ahmadi, Riadh, Mercier, Eric, Trigui, Hazem, and Ouali, Jamel Abdennaceur
- Subjects
- *
ROCK mechanics , *SHEAR (Mechanics) , *KINEMATICS , *ROCK deformation , *OROGENIC belts , *CASE studies - Abstract
Abstract Fracture patterns in folds are resulting from complex tectonic history. Indeed, in thrust and fold belts fractures occurred because of three different stress tensors: (1) Regional field stress, (2) Tensile stress in hinge area or (3) simple shear in limbs. Therefore, the same regional stress field could create too many different fracture and joint types. Detailed works have characterized fractures observed in nature, but only few studies have linked the fractures to the fold kinematics. On the other hand, we believe that fold kinematics have a key role in fracture amplitude and distribution. For this reason, we studied the fracture network affecting the Jebel Sehib, a typical fault-propagation fold of the Gafsa basin, southern Tunisia. On the same bed, and all over fold parts, we measured the fracture net density. The results showed clear difference in fracture density spread with highest density in the forelimb, medium in the backlimb and lowest in the hinge area. The, we compared the results with the theoretical kinematics of related fold/fracture models. We concluded that the fracture net is mainly anterior to the folding process. In fact, at the beginning of compressive stress, layer parallel shortening (LPS) occurred and generated homogenous fracture net in a pure shear regime attested by conjugated shear joints. During the growth of the fault-propagation fold, the existing fracture net is locally reactivated and amplified by limb simple shear as prospected in the mechanical behaviour of the fault-propagation fold. This leads to higher fracture density in the steeper flank. This hypothesis can be generalised to at least all fault-related folds in which limb simple shear is present. In the Jebel Sehib case study, we observed the flexural flow (internal deformation of the rock) because of the chosen massive limestone reference bed. In other natural examples, most of the beds accommodate simple shear by a flexural slip and rarely by flexural flow. This work have direct consequences on fractured reservoirs exploration in fault-related folds. Highlights • Relationship between fractures density and folding in fault propagation fold. • Fault-related fold kinematics and mechanical behaviour. • Limb simple shear mechanics while folding. • Fracture density study on a massive limestone bed. • Role of inherited faults in foreland basin folding. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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29. Critical strain energy release rate for rubbers: single edge notch tension versus pure shear tests.
- Author
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Roucou, David, Diani, Julie, Brieu, Mathias, and Mbiakop-Ngassa, Armel
- Subjects
- *
STRAIN energy , *THRESHOLD energy , *FAILURE analysis , *SURFACE cracks , *EDGES (Geometry) - Abstract
In order to estimate mode I fracture strain energy release rate of a rubber upon monotonic loadings, the material is submitted to pure shear and single edge notch tension tests. Catastrophic failure happens suddenly for both tests, revealing mirror-like crack surfaces, assessing the fragile fracture. Nonetheless, Griffith failure analysis could be carried out on pure shear tests only. This analysis leads to an energy release rate value that allows challenging approximate expressions existing in the literature for pure shear and single edge notch tension tests. The pure shear approximate expression provides quantities that match the Griffith analysis. Meanwhile, the strain energy release rate values calculated directly from the single edge notch tension tests differ significantly from the values obtained in pure shear. This discrepancy is explored and possible explanations are discussed showing that pure shear tests should be favored. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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- View/download PDF
30. Approximate Quantification of Higher-Mode Effects on Seismic Demands of Buildings.
- Author
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Lin, Jui-Liang
- Subjects
- *
PARKING facilities , *SEISMIC response , *ARCHITECTURAL models - Abstract
Quantifying the higher-mode effects on the seismic demands of buildings may benefit not only the awareness of characteristics of the seismic responses of buildings, but also the development of rapid/simplified methods for the seismic assessment of buildings. This study proposes an approach that is applicable for quantifying the aforementioned effects, covering the full range of building heights and deformation types. The vehicle used in this proposed approach is the generalized building model, which has been modified from the conventional cantilever beam model. In addition to building height and deformation type, the strength ratio of each vibration mode and the site class of buildings are the parameters considered in this study. The higher-mode effects on floor displacements, inter-story drift ratios, floor accelerations, and base shears with relation to the aforementioned parameters are investigated. Finally, the proposed approach is verified via the investigation of the higher-mode effects of a 20-story exemplar building. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
31. Bauschinger Effect during the Plastic Forming of Ferrous Metals.
- Author
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Khvan, A. D., Khvan, D. V., and Voropaev, A. A.
- Abstract
The Bauschinger effect during the plastic deformation of metals, i.e., steels of a number of grades, is presented. The hypothesis of an even dependence of the asymptotic value β
m in a function β(e), which characterizes the Bauschinger effect, on Lode parameter μ is considered. A relation is proposed to determine β as a function of cumulative strain e, Lode parameter μ, and parameter βm determined by reverse loading under conditions of pure shear () and linear stress state (). Talypov's hypothesis about an even dependence of βm on μ in tension–compression and compression–tension loading cycles is experimentally substantiated. The experimental data confirm the calculated values of β(e) at a sufficient accuracy. [ABSTRACT FROM AUTHOR]- Published
- 2021
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32. Fracture prediction for metal sheet deformation under different stress states with uncoupled ductile fracture criteria
- Author
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Hongrui Zhang, Xiaolei Cui, Yudong Lei, Mei Zhan, Li Rui, and Zebang Zheng
- Subjects
Stress (mechanics) ,Materials science ,Strategy and Management ,Ultimate tensile strength ,Fracture (geology) ,Forming processes ,Management Science and Operations Research ,Deformation (engineering) ,Composite material ,Pure shear ,Anisotropy ,Industrial and Manufacturing Engineering ,Finite element method - Abstract
Fracture constantly occurs during the plastic forming processes of thin-walled metal sheets due to the local uneven plastic deformation. During the processes, the sheets may experience different stress states, which are crucial factors related to the fracture. To predict fracture in different forming processes, various uncoupled ductile fracture criteria have been proposed due to their advantages of relatively simple expressions and less modeling parameters. Because each fracture criterion focusses on certain aspects of the deformation behavior, the ability of fracture prediction can be dramatically different. Thus, a systematical study on eight widely applied uncoupled ductile fracture criteria is carried out to evaluate their applicability under four different stress states, i.e. pure shear, dog-bone tensile, notched tensile and hydraulic bulging. Each criterion is numerically implemented and embedded into finite element models and is applied for fracture prediction of an anisotropic aluminum alloy sheet. The prediction results are compared to experimental results and the applicability of each criterion is analyzed.
- Published
- 2022
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33. Strength and Failure Criteria
- Author
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Gould, Phillip L. and Gould, Phillip L.
- Published
- 2013
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34. Diaphragm shear and diagonal compression testing of cross-laminated timber
- Author
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Zahra Sharifi, Mats Ekevad, Sven Berg, and Jonas Sharifi
- Subjects
Technology ,Materials science ,General Chemical Engineering ,Science ,Diagonal ,CLT ,General Physics and Astronomy ,Diaphragm (mechanical device) ,Diagonal compression test ,Shear modulus ,Cross laminated timber ,General Materials Science ,In-plane shear modulus ,General Environmental Science ,business.industry ,General Engineering ,Structural engineering ,Cross-laminated timber ,Pure shear ,Finite element method ,Shear (sheet metal) ,Diaphragm shear test ,General Earth and Planetary Sciences ,Direct shear test ,business - Abstract
To learn the characteristics of a cross-laminated timber (CLT) panel, it is crucial to perform experimental tests. This study presents two experimental test methods to measure the in-plane shear modulus of CLT panels. This characteristic can be measured by multiple methods such as the picture frame test, the diagonal compression test, and the diaphragm shear test. In this study, the same CLT panels are tested and evaluated in the diaphragm shear test and the diagonal compression test to see if more reliable results can be achieved from the diaphragm shear test. This evaluation is done by experimental tests and finite element simulations. The theoretical pure shear simulation is used as a reference case. Finite element simulations are made for both edge glued and non-edge glued CLT panels. Nine CLT panels are tested in the diaphragm shear test and the diagonal compression test. During ideal conditions (uniform material properties and contact conditions), all three simulated methods result in an almost equal shear modulus. During the experimental testing, the diagonal compression test gives more coherent results with the expected shear modulus based on finite element simulations. Based on the diaphragm shear test results, the CLT panels behave like edge glued, but this situation is dismissed. However, during ideal conditions, the diaphragm shear test is seen as a more reliable method due to the higher proportion of shear in the measured area. Article Highlights Comparing the two experimental methods: the diaphragm shear test and the diagonal compression test. Using the theoretical pure shear simulations to verify the experimental methods. Experimental testing and finite element analysis of the same cross-laminated timber panel.
- Published
- 2021
35. Synthetic Theory of Plasticity
- Author
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Rusinko, Andrew, Rusinko, Konstantin, Rusinko, Andrew, and Rusinko, Konstantin
- Published
- 2011
- Full Text
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36. Equivalent and effective strains during severe plastic deformation (SPD).
- Author
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Segal, V. M.
- Subjects
- *
MATERIAL plasticity , *STRAIN rate - Abstract
This paper considers the characteristics of severe plastic deformation (SPD) to estimate its efficacy and to compare different processing techniques. In contrast to effective strains by von Mises and Hencky, the rotation component of the strain rate is included in the analysis as a mode of deformation, which ranges from simple shear to pure shear. Distortions of material elements during a uniform plane plastic flow are calculated using a kinematic approach. For the fixed deformation mode, the current state is defined by the accumulated shears that are identical to the von Mises effective shear strains. In specific cases of pure shear and simple shear, the accumulated shears match the specific distortions of round or square elements prescribed by Hencky or von Mises approach, respectively. The mode of deformation is important to the structural effects of SPD. In general, two separated characteristics, accumulated shear and the coefficient of deformation mode, are necessary to describe strains during SPD. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
37. 拉伸模式对介电弹性体发电机性能影响的研究.
- Author
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鄂世举, 竺振才, 曹建波, 任华林, 郭壮, 金建华, 包辉煌, 张海艇, and 朱喜林
- Abstract
Copyright of Piezoelectrics & Acoustooptics is the property of Piezoelectric & Acoustooptic and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2018
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38. Fatigue crack growth behavior of NBR, HNBR, HNBR ZSC compounds.
- Author
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Béranger, A.S., Qin, J., Heuillet, P., and Baurier, H.
- Subjects
FATIGUE crack growth ,FATIGUE life ,CRACK propagation (Fracture mechanics) ,SHEAR strength ,FATIGUE testing machines - Abstract
Due to the insufficiency of reliable data, fatigue life calculations taking the crack propagation phenomena into account, remain scarce. Therefore, this work focuses on the characterization of fatigue crack growth behavior for materials NBR, HNBR and HNBR ZSC in different thermal ageing states at different temperatures. The experimental data base was analyzed using Fracture Mechanics principles, namely crack growth rate in relation with the tearing energy. The tests of the notched pure-shear specimen were performed on a METRAVIB DMA+300 fatigue testing machine. It is found that the crack growth rate is approximately proportional to the tearing energy in the steady propagation range. Furthermore, the test temperature and thermal ageing were observed to be able to weaken the shearing strength. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
39. Enhanced magnetoelectric coupling in stretch-induced shear mode magnetoelectric composites
- Author
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Sung Hoon Park, Deepak Rajaram Patil, Seema Patil, Jungho Ryu, and Ajeet Kumar
- Subjects
Shear (sheet metal) ,Materials science ,Fabrication ,Ceramics and Composites ,Metglas ,Coupling (piping) ,Magnetostriction ,Pure shear ,Composite material ,Piezoelectricity ,Galfenol - Abstract
Magnetoelectric (ME) laminates consisting of Pb(Mg1/3Nb2/3)O3-PbTiO3 (PMN-PT)-based single crystals have recently attracted significant interest owing to their excellent piezoelectric properties. Particularly, ME laminates with d15-mode single crystals exhibit the strongest ME coupling, but the fabrication of ME laminates with 15 shear modes is challenging. Herein, we propose the generation of a stretch–shear mode (d15-mode) by clamping the opposite ends of the top and bottom magnetostrictive layers in symmetric ME laminates. Two different shear-stress-induced ME laminates were fabricated using Metglas/Galfenol as magnetostrictive layer, and 15-PMN-PZT as a piezoelectric layer. The ME laminates were studied under two different conditions, unclamped and clamped. Under unclamped condition, Galfenol/15-PMN-PZT/Galfenol (Metglas/15-PMN-PZT/Metglas) laminate showed maximum αME value of 1.71 V/cm∙Oe (0.62 V/cm∙Oe), while under clamped condition, Galfenol/d15-PMN-PZT/Galfenol (Metglas/15-PMN-PZT/Metglas) laminate exhibited an enhanced αME value of 2.40 V/cm∙Oe (0.87 V/cm∙Oe), indicating successful generation of the stretch–shear mode. Under clamped condition, αME was enhanced by 140% compared with the that of the unclamped case, suggesting a 40% (0.25 V/cm∙Oe) contribution from the pure shear ME voltage coefficient along with the longitudinal extension contribution.
- Published
- 2021
- Full Text
- View/download PDF
40. Pure and simple: investigating the in-plane shear kinematics of a quasi-unidirectional glass fiber non-crimp fabric using the bias-extension test
- Author
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Jørgen Asbøll Kepler, Johnny Jakobsen, and Christian Krogh
- Subjects
Shear testing ,Materials science ,Turbine blade ,Glass fiber ,Context (language use) ,Kinematics ,Mechanics ,Pure shear ,law.invention ,Quasi-unidirectional ,Simple shear ,Shear (sheet metal) ,law ,Crimp ,General Materials Science ,Non-crimp fabric - Abstract
This paper concerns shear testing of a quasi-unidirectional non-crimp fabric used for wind turbine blades. In this context “quasi” refers to the fact that the majority of the reinforcement is oriented along the longitudinal direction with a small amount acting as a stabilizing backing layer in the ± 80∘ direction. The bias-extension test is used to investigate the in-plane shear kinematics of the fabric, i.e. whether a pure or simple shear kinematic is more suitable. Further, an expected outcome of the test is a maximum applicable shear angle. Such information is highly important when simulating the draping of the fabrics in a blade mold. The investigation shows that the fabric deforms mostly in pure shear for the shear angles relevant for wind turbine blade production.
- Published
- 2021
- Full Text
- View/download PDF
41. Superposed shear and compression of strong colloidal gels
- Author
-
Mohammad Manjiul Islam and Daniel R. Lester
- Subjects
Gel point ,Materials science ,Mechanical Engineering ,Pure shear ,Condensed Matter Physics ,Stress (mechanics) ,Rheology ,Shear (geology) ,Mechanics of Materials ,Shear stress ,General Materials Science ,Compression (geology) ,Deformation (engineering) ,Composite material - Abstract
Although the rheology of strong colloidal gels is predominantly concerned with either pure shear or pure compressive deformation, the vast majority of practical applications involves an arbitrary combination of shear and compressive stresses and strains. This situation demands a tensorial rheology of colloidal suspensions, where the multidimensional response of these complex materials to arbitrary superposed stress states needs to be characterized and constitutive models developed. In this study, we use 2D discrete element modelling simulations in the absence of hydrodynamic interactions to probe the behavior of a model strong colloidal gel under combined shear and compressive deformation. We consider the deformation and failure of these gels under strain-controlled conditions that range from pure compression to shear-dominated consolidation. Particle-scale observations uncover how shear stresses act to stimulate nonaffine buckling and rupture of force chains during consolidation, leading to augmented failure and collapse of the particle network. At the macroscopic level, we find that the energy required to consolidate a colloidal suspension from the gel point to close packing passes through a minimum that corresponds to weak shear strain, indicating that small amounts of shear play a critical role in destabilizing the colloidal network. These results represent an important step toward a complete understanding of the tensorial rheology of strong colloidal gels.
- Published
- 2021
- Full Text
- View/download PDF
42. Comparison of discontinuous damage models of Mullins-type
- Author
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Peter Wriggers, Alexander Ricker, and Nils Hendrik Kröger
- Subjects
Experimental validation ,Mullins effect ,Basis (linear algebra) ,Computer science ,Mechanical Engineering ,Experimental data ,Pure shear ,Range (mathematics) ,chemistry.chemical_compound ,Material modeling ,Natural rubber ,chemistry ,Consistency (statistics) ,visual_art ,Dewey Decimal Classification::600 | Technik::690 | Hausbau, Bauhandwerk ,visual_art.visual_art_medium ,Statistical physics ,Characteristic property ,Rubber materials - Abstract
The Mullins effect is a characteristic property of filled rubber materials whose accurate and efficient modelling is still a challenging task. Innumerable constitutive models for elastomers are described in the literature. Therefore, this contribution gives a review on some widely used approaches, presents a classification, proves their thermodynamic consistency, and discusses reasonable modifications. To reduce the wide range of models, the choice is restricted to those which reproduce the idealised, discontinuous Mullins effect. Apart from the theoretical considerations, two compounds were produced and tested under cyclic uniaxial and equibiaxial tension as well as pure shear. Based on this experimental data, a benchmark that compares the fitting quality of the discussed models is compiled and favourable approaches are identified. The results are a sound basis for establishing novel or improving existing rubber models.
- Published
- 2021
- Full Text
- View/download PDF
43. Tension-Compression and Shear of Plane Test Specimens from Laminated Composites with $$\boldsymbol{[90^{\circ}]}_{\boldsymbol{s}}$$ Structure: Numerical Method of Linearized Problem and Multiscale Buckling Modes
- Author
-
V. N. Paimushin, S. A. Kholmogorov, and M. V. Makarov
- Subjects
Condensed Matter::Soft Condensed Matter ,Shear modulus ,Shear (sheet metal) ,Buckling ,Tension (physics) ,General Mathematics ,Mechanics ,Pure shear ,Elasticity (physics) ,Fibre-reinforced plastic ,Compression (physics) ,Mathematics - Abstract
As a development of the previously obtained results, a refined statement of linearized problems on the plane shear buckling modes of specimens made of fiber reinforced plastic with $$[90^{\circ}]_{s}$$ lay-up under tension-compression with shear is given. Micro- and mesoscale buckling modes of their structural elements in the form of fibers and bundles of fibers in a prebuckling state under shear and tension (compression) stresses in the direction across the fibers were considered. To formulate the problems, there are used the equations that were constructed earlier by reducing a consistent version of the geometrically nonlinear equations of the theory of elasticity to the one-dimensional equations of the theory of laminated straight beams with a layered structure through the thickness. It is based on the use of S.P. Timoshenko shear model taking into account tensile-compression transverse strain for each lamina. It is shown that a macroscale buckling in a purely shear mode is possible only under compression, and continuous rearrangement of the composite structure due to the implementation and continuous change of micro- and mesoscale internal buckling modes with a continuous change in wave formation parameters is also possible under other types of loading (compression, tension-compression with shear, pure shear). This, in particular, can explain the previously revealed decrease in the averaged shear modulus of the fiber reinforced plastic with an increase in shear strains.
- Published
- 2021
- Full Text
- View/download PDF
44. Manufacturing of Ni-based superalloy thin-walled components by complex strain-path spinning combined with solution heat treatment
- Author
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Qinxiang Xia, Yilong Zhang, Xiao Gangfeng, and Xiuquan Cheng
- Subjects
Materials science ,Mechanical Engineering ,Work hardening ,Pure shear ,Flange ,Industrial and Manufacturing Engineering ,Computer Science Applications ,Superalloy ,Control and Systems Engineering ,Formability ,Deformation (engineering) ,Deep drawing ,Composite material ,Spinning ,Software - Abstract
Complex thin-walled components, such as conical-cylindrical parts, widely used in combustor shells, are generally made of Ni-based superalloy. However, it is difficult to manufacture the complex components with high dimensional accuracy by single process, and the formability of Ni-based superalloy is limited at room temperature due to the severe work hardening. A new spinning-heat treatment composite forming method of manufacturing the conical-cylindrical parts, consisting of shear spinning, solution heat treatment, and deep drawing spinning, was proposed. The feasibility of manufacturing the Ni-based superalloy complex component at room temperature was explored, and the spinning formability under complex strain path was analyzed. The results show that the limited thinning ratio of Ni-based superalloy is about 50% at room temperature under the strain state of pure shear deformation, and the work hardening of conical pre-formed blank can be completely eliminated by a 1200°C × 20 min solution heat treatment. Wrinkling occurs easily when single-pass deep drawing spinning was adopted to form the cylindrical section with the spinning coefficient of 0.78 under the linear strain path. Fracture along axial direction occurs easily at the opening area of the spun workpiece under the locally serrated strain path when multi-pass deep drawing spinning was adopted to form the cylindrical section without solution heat treatment. The spinning formability of the Ni-based superalloy of the multi-pass deep drawing spinning improves remarkably after solution heat treatment due to the improvement of deformation uniformity and the significant decrease of the tangential compressive stress at flange area. The experiments were carried out to verify the theoretical analysis results, and the Ni-based superalloy conical-cylindrical parts with high dimensional accuracy were manufactured successfully by the developed method combining of shear spinning followed by a solution heat treatment and multi-pass deep drawing spinning.
- Published
- 2021
- Full Text
- View/download PDF
45. Multi-functional direct shear apparatus for geosynthetic interfaces with its application on various GMB/GCL interfaces
- Author
-
Qi-Teng Zheng, Jia-Liang Shi, Yang Shen, and Shi-Jin Feng
- Subjects
Shear rate ,Shear (sheet metal) ,Materials science ,Geomembrane ,Geosynthetic clay liner ,Solid mechanics ,Earth and Planetary Sciences (miscellaneous) ,Shear strength ,Direct shear test ,Pure shear ,Composite material ,Geotechnical Engineering and Engineering Geology - Abstract
A geosynthetic liner system that consists of geomembrane (GMB) and geosynthetic clay liner (GCL) is vital for landfill stability analysis and it is essential to investigate the shear characteristics of GMB/GCL interface. This paper introduces a new direct shear apparatus for various geosynthetic interfaces with innovative designing, and using this apparatus 48 shear test sets of four GMB/GCL interface types are conducted under a normal stress level of 100–500 kPa and a shear rate of 0.1–100 mm/min. Effects of the surface roughness of GMB and the hydration condition of GCL on the shear stress–displacement relationship and shear strength of interfaces are investigated. Results show that the evolution of physical phenomena from shear deformation of GCL (denoted as shear phase) to frictional slip between GMB and GCL (denoted as friction phase) occurs at the critical state of peak shear strength where GMB/GCL interfaces provide the largest shear resistance. For GMB/hydrated GCL, shear phase can be further divided into pure shear phase and reinforced shear phase by initial peak strength. Thus, phased shear mechanism of GMB/GCL interface is revealed with explanations on physical and mechanical results. Some future prospects on GMB/GCL interfaces are also proposed.
- Published
- 2021
- Full Text
- View/download PDF
46. The Stresses in the Aftershock Area of the March 11, 2011 Tohoku Earthquake
- Author
-
Yu. L. Rebetsky and A. Yu. Polets
- Subjects
Stress (mechanics) ,Geophysics ,Shear (geology) ,Lithosphere ,Tension (geology) ,Metals and Alloys ,Crust ,Cataclastic rock ,Pure shear ,Geotechnical Engineering and Engineering Geology ,Aftershock ,Geology ,Seismology - Abstract
This study presents a detailed reconstruction of the state of stress in the crust of the Japan Benioff zone that followed the Tohoku earthquake of March 11, 2011. The stress parameters were found using the method of cataclastic analysis applied to discontinuous displacements based on the identification of a homogeneous selection of earthquake mechanisms around a point of interest. The criteria used to make the selection rely on principles of plasticity theory as extended to cover the case of strain evolving in a cracked medium. The reconstruction used data on earthquake mechanisms from the NIED f-net catalog for the period of observation until June 1, 2018. An analysis of the patterns in the spatial stress distribution derived for six depth levels in the crust showed substantial changes in the state of stress observed in the aftershock area of the Tohoku earthquake in the upper lithospheric layers of the continental slope (0–30 km). The horizontal tensile stresses that appeared immediately after the earthquake are best observed in the uppermost crustal layer (0–10 km). As we go deeper into the earth, this state of stress becomes increasingly less representative. Estimates of the stress magnitudes based on a model of horizontal tension with pure shear showed that the change in the type of geodynamic regime in the upper crustal layer was accompanied by a large change in the level of shear stresses that are directed along the axis of the Benioff zone (the drop was about 90%) and a decrease in the level of maximum shear stresses by nearly 65% relative to its mean value. These results can be explained by a larger contribution into the change of the state of stress due to a quasi-homogeneous horizontal tension compared with that due to pure shear caused by the drop of tangential stresses in the Tohoku source.
- Published
- 2021
- Full Text
- View/download PDF
47. Untangling the complex kinematic and geochronological history of a crustal-scale shear zone: an example from the Main Central Thrust (Garhwal Himalaya, NW India)
- Author
-
Chiara Montemagni and Montemagni, C
- Subjects
Kinematic vorticity ,Deformation (mechanics) ,Shear zone ,Ar/Ar dating ,Himalaya ,Geology ,Kinematics ,Pure shear ,Vorticity ,MCT ,GEO/03 - GEOLOGIA STRUTTURALE ,Main Central Thrust ,Petrology ,Foreland basin ,Mylonite - Abstract
This contribution focuses on geochronological and kinematic data on the Main Central Thrust zone (MCTz) in the Garhwal Himalaya (NW India). A multidisciplinary approach combining detailed 2D and 3D microstructural observations with a new interpretation key of geochronological data on micas is here applied to reconstruct the polyphase evolution of a crustal-scale shear zone. The Ar Differential Release Plot and the use of X-ray micro-Computed Tomography allow to disentangle misleading Ar/Ar spectra of micas from mylonites and to avoid methodological limitation in vorticity estimates, respectively. This new approach allows to unravel the microstructural and petrological complexities linked to the temporal and kinematic evolution of the MCTz. The obtained data indicate a structurally downward shift of deformation, i.e. towards the foreland, across the MCTz, with an increasing pure shear component mirrored to a progressive rejuvenation of the mica age of structures.
- Published
- 2021
- Full Text
- View/download PDF
48. Unravelling the evolution of regional-scale shear zones with the aid of microstructures and textural analysis: an example from the central Himalaya
- Author
-
Laura Nania
- Subjects
Simple shear ,Greenschist ,Main Central Thrust ,Geology ,Pure shear ,Shear zone ,Petrology ,Shear flow ,Texture (geology) ,Metamorphic facies - Abstract
Microstructure and texture data on the Main Central Thrust zone (MCTz) in central Himalaya, on two nearly N-S oriented valleys in the Manaslu range (Western Nepal), are provided. Kinematic indicators at the meso and microscale support a south-directed flow. From south to north, greenschist facies paragneiss in the garnet-zone pass to amphibolite facies rocks in the kyanite-zone, suggesting an up-section metamorphic temperature increase. Combining microstructures and data from two different texture analysers (X-ray Texture goniometry and crystal-fabric microanalyzer) allowed to link the temperature path (from 460°C to 600°C up-section) and kinematic vorticity estimates. The “orientation of oblique grain shape fabrics” method was applied, pointing out a general shear flow (40-56% of pure shear) at the MCTz top. Results are in line with a “decelerating strain-path” model, as relatively high simple shear components are recorded at deeper structural levels. This work highlights that the combination of X-ray texture goniometry and crystal-fabric microanalyzer techniques is a good strategy to ensure quartz full-fabric.
- Published
- 2021
- Full Text
- View/download PDF
49. A new anisotropic-asymmetric yield criterion covering wider stress states in sheet metal forming.
- Author
-
Hou, Yong, Min, Junying, El-Aty, Ali Abd, Han, Heung Nam, and Lee, Myoung-Gyu
- Subjects
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METALWORK , *SHEET metal , *DRAWING (Metalwork) , *YIELD surfaces , *STRAIN hardening , *YIELD stress , *METAL quenching - Abstract
• An asymmetric-anisotropic 4th-order polynomial-based yield function is newly proposed. • Accurate description of yielding, plastic flow, and strain hardening subject to pure shear. • A concept of additively coupled stress invariants for adjusting yield strength and plastic flow subject to plane strain. • The proposed yield criterion can reproduce plastic anisotropy under wider stress states in sheet metal forming. • Successful prediction of the anisotropic-asymmetric plastic behavior for different materials including steels, Al and Mg alloys. The stress state-dependent plastic anisotropy of sheet metals has drawn significant attention. Nevertheless, existing phenomenological plasticity models limitedly capture the distinctive yield strengths and plastic flow (r-values) under a wide range of stress states covering uniaxial tension (UT), equi-biaxial tension (EBT), uniaxial compression (UC), plane strain tension (PS), and pure shear (SH). This study aims to propose a new anisotropic-asymmetric plasticity model with enhanced flexibility based on the non-associated flow rule. The yield function is formulated based on the additive coupling of two stress potentials: coupling between a new anisotropic pressure-sensitive fourth-order polynomial function, and an isotropic stress invariant-based function. Then, all the anisotropic/asymmetric parameters of the yield function can be analytically identified from 7 yield stresses measured from UT tests along 0°, 45°, and 90° to the rolling direction (RD), UC tests along 0° and 90° to the RD, EBT test, and SH test along 45° to the RD. Within the scheme of no-associated flow rule, a new asymmetric fourth-order plastic potential function is proposed to analytically describe the plastic flow of sheet metals under UT, UC, EBT and SH. The additively coupled stress invariant-based term is introduced to adjust the yield stresses and plastic flow under biaxial tension including PS, which leads to an independent description of the yield stresses and plastic strain directions under SH and PS states. Various automotive sheet metals such as advanced high-strength steels, aluminum alloy, and magnesium alloy with strong asymmetry and anisotropy are investigated to verify the proposed yield criterion. The results demonstrate remarkable flexibility and accuracy of the proposed yield criterion against other existing models. Evolving yield surface and plastic potential of a quenching and partitioning steel are accurately captured by the proposed anisotropic-asymmetric yield criterion. Besides, the advantages of new model are further discussed in terms of the proof of yield surface convexity, identified parameters, and the regulation between anisotropy and isotropy in comparison with existing multiplicative coupling method. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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50. Intrinsic Physical Theories
- Author
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Tarantola, Albert
- Published
- 2006
- Full Text
- View/download PDF
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