14 results
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2. Probabilistic model of the growth of correlated cracks in a stiffened panel
- Author
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Feng, G.Q., Garbatov, Y., and Guedes Soares, C.
- Subjects
- *
METAL fractures , *STIFFNESS (Mechanics) , *STRUCTURAL plates , *STRAINS & stresses (Mechanics) , *FINITE element method , *PROBABILITY theory , *MATHEMATICAL models - Abstract
Abstract: The objective of this paper is to develop a probabilistic model for a stiffened panel subjected to correlated growth of cracks in the stiffener and plate elements. The geometry functions of the correlated cracks in the plate and in the stiffener are defined based on the stress intensity factors calculated by finite element analysis. A validation of the stress intensity factor and the geometry function calculation has been performed for an isolated crack in a plate with a central/edge through thickness crack. The Paris–Erdogan law is used to predict the crack propagation. Monte Carlo simulation is employed to define the statistical descriptors of the crack growth in the stiffened panel under different correlation functions and a probabilistic model of crack size as a function of time are presented adopting a truncated normal distribution to describe the probability density function of the crack size in the plate and in the stiffener. A procedure for the development of a probabilistic crack growth model for a stiffened panel has been proposed, allowing for the existence of multiple cracks both in the stiffeners and in the plate and accounting for the correlation between them. The developed probabilistic model may be used for fatigue crack growth analysis and is suitable for reliability assessment of a stiffened panel subjected to correlated crack growth. [Copyright &y& Elsevier]
- Published
- 2012
- Full Text
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3. Analytical modelling of the electromechanical behaviour of surface-bonded piezoelectric actuators including the adhesive layer
- Author
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Jin, Congrui and Wang, Xiaodong
- Subjects
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MATHEMATICAL models , *MICROELECTROMECHANICAL systems , *PIEZOELECTRICITY , *SURFACES (Technology) , *ADHESIVES , *ACTUATORS , *MOLECULAR structure , *STRAINS & stresses (Mechanics) , *NUMERICAL analysis , *MECHANICAL behavior of materials - Abstract
Abstract: The behaviour of a piezoelectric actuator is strongly affected by the bonding condition along the interface between the actuator and the host structure. The current paper represents an analytical study of the static effect of the mechanical and geometrical properties of the adhesive layer on the coupled electromechanical behaviour of a thin piezoceramic actuator bonded to an elastic medium. An actuator model with an imperfect adhesive bonding layer, which undergoes a shear deformation, is proposed to simulate the two dimensional electromechanical behaviour of the integrated system. Analytical solution of the problem is provided by solving the resulting integral equations in terms of the interfacial stress. Numerical simulation is conducted to study the effect of the bonding layer upon the actuation process. The effect of interfacial debonding on the response of the layered structure and on the interlaminar strain and stress transfer mechanisms is discussed. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
4. Predicting the influence of temperature on fatigue crack propagation in Fibre Metal Laminates
- Author
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Rans, C.D., Alderliesten, R.C., and Benedictus, R.
- Subjects
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METAL fatigue , *DELAMINATION of composite materials , *LAMINATED metals , *TEMPERATURE effect , *STRAINS & stresses (Mechanics) , *CURING , *MATHEMATICAL models , *INTERFACES (Physical sciences) - Abstract
Abstract: A robust crack growth prediction tool has been developed for a class of hybrid skin materials known as Fibre Metal Laminates (FMLs) which has been thoroughly validated for fatigue loading cases at room temperature. This paper provides a brief overview of this predictive model and presents an investigation into its predictive capabilities at various temperatures. Amongst the temperature effects investigated are crack growth rate in the metal layers, delamination growth rate along the metal–fibre interfaces, and residual curing stresses within the laminate. Results from this investigation indicate that the present model accounting for these effects can accurately predict crack growth in FMLs at room temperature and elevated temperature, but is overly conservative for predictions at low temperatures. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
5. A comparative study on five approaches to evaluate double-K fracture toughness parameters of concrete and size effect analysis
- Author
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Zhang, Xiufang and Xu, Shilang
- Subjects
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FRACTURE mechanics , *ELASTICITY , *CONCRETE , *MATHEMATICAL models , *COHESION , *STRAINS & stresses (Mechanics) , *COMPARATIVE studies , *PARAMETER estimation - Abstract
Abstract: The current paper presents a comprehensive comparison of double-K fracture toughness parameters of concrete evaluated using experimental method and four existing analytical methods. Fracture tests were carried out on compact tension wedge splitting specimens with various depths varying from 200mm up to 1000mm. In the analytical calculation, depending on the relationship between critical crack tip opening displacement and the abscissa value of turning point on bilinear softening curve, two different distributions of cohesive stress are considered along crack extension. Results show that four available analytical calculations yield almost the same values of double-K fracture toughness parameters and agree well with those obtained from the experiment, which confirms the consistency of five approaches. Size effect was discussed, including unstable fracture toughness, initiation fracture toughness, critical effective crack length, the length of critical fracture process zone and critical crack tip opening displacement. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
6. A general model to estimate life in notches and fretting fatigue
- Author
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Navarro, C., Vázquez, J., and Domínguez, J.
- Subjects
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FRACTURE mechanics , *ESTIMATION theory , *STRAINS & stresses (Mechanics) , *MATHEMATICAL models , *GROUP theory , *STRENGTH of materials - Abstract
Abstract: Fatigue in notched specimens and fretting fatigue are two different phenomena but they have in common the existence of a stress gradient. In these cases fatigue life estimation is usually considered as a superposition of an initiation and propagation phase. One of the main problems to estimate the fatigue life is to define the crack length where one phase finishes and the other begins. The model employed in this paper combines both phases without defining a priori the separation between them. The proposed model is applied to uniaxial and multiaxial fatigue in specimens with stress gradient: a group of fretting fatigue tests with spherical and cylindrical contact and another group of tests with notched specimens. The comparison between life estimations and experimental results allows checking the validity of the model in different conditions. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
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7. Use of a modified Gurson model approach for the simulation of ductile fracture by growth and coalescence of microvoids under low, medium and high stress triaxiality loadings
- Author
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Jackiewicz, J.
- Subjects
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FRACTURE mechanics , *SIMULATION methods & models , *MECHANICAL loads , *STRAINS & stresses (Mechanics) , *DUCTILITY , *SHEAR (Mechanics) , *MATHEMATICAL models - Abstract
Abstract: In the paper the modified Gurson model is developed for the simulation of damage growth and ductile fracture under low, medium and high stress triaxiality loadings. A new coalescence criterion is introduced based on a simple assumption that singular value of the effective stress triggers the coalescence of microvoids in materials. According to the introduced approach the void coalescence described by means of the modified Gurson model is not only determined by the so-called critical, constant void volume fraction but also by the stress triaxiality ratio. Computational simulations have been carried out for Al 2024–T351 aluminum specimens. In order to find some improvements of micromechanical damage models, two different approaches have been compared for modeling the shear driven microvoid coalescence under low stress triaxiality loadings. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
8. Issues relating to numerical modelling of creep crack growth
- Author
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Yatomi, M. and Tabuchi, M.
- Subjects
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MATHEMATICAL models , *CREEP (Materials) , *FRACTURE mechanics , *TEMPERATURE effect , *STRAINS & stresses (Mechanics) , *WELDED joints , *FINITE element method , *HIGH temperatures - Abstract
Abstract: In this paper creep crack growth behaviour of P92 welds at 923K are presented. Creep crack growth behaviour for P92 welds are discussed with C * parameter. Creep crack growth behaviour of P92 welds has been compared with that of P91 welds with C * parameter. NSW and NSW–MOD model were compared with the experimental creep crack growth data. Plane strain NSW model significantly overestimates the crack growth rate, and plane stress NSW model underestimates it. Whilst, NSW–MOD model for plane stress and plane strain conditions gives lower and upper bound of the experimental data, respectively. FE analysis of creep crack growth has been conducted. Constrain effect for welded joints has been examined with C * line integrals of C(T) specimens. As a result, constant C * value using the material data of welded joint gives 10 times lower than that of only HAZ property. Whilst, the predicted CCG rates for welded joint are 10 times higher than those for only HAZ properties. Compared with predicted CCG rate from FE analysis and the experimental CCG rate, it can be suggested that creep crack growth tests for lower load level or for large specimen should be conducted, otherwise the experimental data should give unconservative estimation for components operated in long years. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
9. A numerical and experimental study of crack tip shielding in presence of overloads
- Author
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Colombo, C. and Vergani, L.
- Subjects
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PHOTOELASTICITY , *NUMERICAL analysis , *FRACTURE mechanics , *MECHANICAL loads , *MATERIAL plasticity , *MATERIAL fatigue , *MATHEMATICAL models , *STRAINS & stresses (Mechanics) , *FINITE element method - Abstract
Abstract: The mechanism underlying plasticity-induced shielding of a crack tip under fatigue loading has been already experimentally investigated by means of photoelasticity using a recently-developed mathematical model which considers stress field near the crack tip and along the flanks. Stress intensification factors have also been defined to describe shielding effects on the applied elastic field. In this paper a new application of this model is developed through a numerical simulation of the experimental tests, which were previously performed. The study is aimed to analyze the shielding effect related to constant amplitude cycling loading and a single overload peak, considering numerical simulation. By means of the models developed by XFEM technique, the plastic region is reproduced finding a good agreement with the experimental data, and a systematic procedure is proposed to evaluate the stress intensity factors. A good correspondence is found by comparing the numerical with the experimental parameters, obtained from the mathematical model. [Copyright &y& Elsevier]
- Published
- 2010
- Full Text
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10. Calibration procedures for a computational model of ductile fracture
- Author
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Xue, Z., Pontin, M.G., Zok, F.W., and Hutchinson, J.W.
- Subjects
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CALIBRATION , *MATHEMATICAL models , *DUCTILITY , *FRACTURE mechanics , *SHEAR (Mechanics) , *SURFACE tension , *STRAINS & stresses (Mechanics) - Abstract
Abstract: A recent extension of the Gurson constitutive model of damage and failure of ductile structural alloys accounts for localization and crack formation under shearing as well as tension. When properly calibrated against a basic set of experiments, this model has the potential to predict the emergence and propagation of cracks over a wide range of stress states. This paper addresses procedures for calibrating the damage parameters of the extended constitutive model. The procedures are demonstrated for DH36 steel using data from three tests: (i) tension of a round bar, (ii) mode I cracking in a compact tension specimen, and (iii) shear localization and mode II cracking in a shear-off specimen. The computational model is then used to study the emergence of the cup-cone fracture mode in the neck of a round tensile bar. Ductility of a notched round bar provides additional validation. [Copyright &y& Elsevier]
- Published
- 2010
- Full Text
- View/download PDF
11. Modelling of blast-induced fractures in jointed rock masses
- Author
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Wang, Z.L. and Konietzky, H.
- Subjects
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MATHEMATICAL models , *FRACTURE mechanics , *DYNAMIC testing of materials , *MECHANICAL loads , *NUMERICAL analysis , *FINITE element method , *STRAINS & stresses (Mechanics) - Abstract
Abstract: This paper focuses on the dynamic fracturing process of jointed rock masses due to blast wave loading. A coupled numerical method using both LS-DYNA (a transient dynamic finite element program) and UDEC (an universal discrete element code) is outlined first. The blast-induced fracture extension in two representative jointed rock masses is studied subsequently. Besides, the effects of loading density of explosive charge on fracture evolution and the effects of the preexisting earth stress and free face on the fracturing process of rock masses are also explored in detail. The numerical results capture some of the well-known phenomena observed in the field and expected theoretically, and thus can offer useful guidelines to blasting design in rock masses. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF
12. Equivalence between stress intensity factor and energy approach based fracture parameters of concrete
- Author
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Kumar, Shailendra and Barai, S.V.
- Subjects
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FRACTURE mechanics , *CONCRETE defects , *STRAINS & stresses (Mechanics) , *FORCE & energy , *CONCRETE testing , *NUMERICAL analysis , *MATHEMATICAL models , *STRESS concentration - Abstract
Abstract: The paper presents numerical study and relationship between the double-K fracture parameters and the double-G fracture parameters using two standard tests. The data required for calculation is obtained using cohesive crack model. It is observed that both the corresponding parameters of the double-K fracture model and the double-G fracture model at the onset of crack initiation and unstable fracture are equivalent. This observation agrees well with experimental results available in literature. It is also found that the fracture parameters of double-K fracture criterion and double-G fracture criterion are influenced by initial notch-length/depth ratio, specimen shape, size and softening function. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF
13. Critical study of existing solutions for a penny-shaped interface crack, comparing with a new boundary element solution allowing for frictionless contact
- Author
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Graciani, Enrique, Mantič, Vladislav, and París, Federico
- Subjects
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FRACTURE mechanics , *BOUNDARY element methods , *STRAINS & stresses (Mechanics) , *SURFACES (Technology) , *MATHEMATICAL models , *DEFORMATIONS (Mechanics) - Abstract
Abstract: A numerical study of the fundamental problem of a pressurized penny-shaped crack at the interface of two dissimilar half spaces is carried out allowing for the possibility of frictionless contact between crack faces. A new, highly accurate axi-symmetric formulation of the boundary element method (BEM) for the solution of elastic contact problems is employed. The correctness and accuracy of available predictions of different kinds for several key characteristics of the solution of this problem are checked. First, comparison of the BEM results for the near-tip contact length shows a very good agreement with some existing predictions. Second, the global solution obtained by BEM is compared with existing asymptotic solutions, obtained with both the open and the frictionless contact models. BEM results show that at the closest neighborhood to the crack tip the global solution of the problem is governed by the first term of the asymptotic solution of the frictionless contact model (up to a distance of the order of a fraction of the near-tip contact length). After a small transition region, in an adjacent surrounding zone whose extent is almost independent of the near-tip contact length, the global solution of the problem is governed by the first term of the asymptotic solution of the open model. As a result of the comparison presented, the regions in which the classical fracture parameters, stress intensity factor (SIF) and energy release rate, can be accurately obtained from the global numerical solution of a crack of this kind have been determined. Third, BEM results and previous estimations show certain discrepancies with a recently published closed form solution of the near-tip contact length and the mode II SIF of the frictionless contact model. A new closed form expression of this mode II SIF, derived from the asymptotic solution of the open model, is proposed in this paper. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF
14. Fracture and damage mechanics modelling of thin-walled structures – An overview
- Author
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Zerbst, Uwe, Heinimann, Markus, Donne, Claudio Dalle, and Steglich, Dirk
- Subjects
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THIN-walled structures , *FRACTURE mechanics , *MATHEMATICAL models , *STRENGTH of materials , *STRAINS & stresses (Mechanics) , *STRUCTURAL failures - Abstract
Abstract: This paper reviews the most important current approaches for residual strength prediction of thin-walled structures. Crack driving force parameters such the linear elastic stress intensity factor and its plastic zone corrected extension for contained yielding conditions, the crack tip opening displacement δ 5, the crack tip opening angle CTOA, the cohesive zone model parameters, separation energy, critical tensile stress and critical separation and the parameters of the damage models of Gurson–Tvergaard–Needleman type are introduced and discussed with respect to their benefits and limitations for the simulation of plane and stiffened panels. In addition, specific aspects of modern non-integral and integral structures which pose a challenge are addressed. These comprise multi-site damage, crack deviation and branching, welding residual stresses, strength mismatch in material compounds and problems in bonded structures, such as delamination. A number of examples are provided to illustrate the potential of the various approaches. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF
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