26 results on '"Cazzani, Antonio"'
Search Results
2. Seismic Assessment and Retrofitting of an Historical Masonry Building Damaged during the 2016 Centro Italia Seismic Event
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Zucca, Marco, primary, Reccia, Emanuele, additional, Longarini, Nicola, additional, and Cazzani, Antonio, additional
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- 2022
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3. To Francesco dell’Isola
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Bersani, Alberto M, primary, Cazzani, Antonio, additional, Eremeyev, Victor A, additional, Giorgio, Ivan, additional, and Spagnuolo, Mario, additional
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- 2022
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4. Maestro and his pupils: History of a scientific production
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Bersani, Alberto M, primary, Cazzani, Antonio, additional, Giorgio, Ivan, additional, and Spagnuolo, Mario, additional
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- 2022
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5. Matrix-embedded metamaterials: Applications for the architectural heritage
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Spagnuolo, Mario, primary, Reccia, Emanuele, additional, Ciallella, Alessandro, additional, and Cazzani, Antonio, additional
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- 2022
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6. Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach
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Spagnuolo, Mario, primary, Yildizdag, M Erden, additional, Pinelli, Xavier, additional, Cazzani, Antonio, additional, and Hild, François, additional
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- 2021
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7. Out-of-plane deformation reduction via inelastic hinges in fibrous metamaterials and simplified damage approach.
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Spagnuolo, Mario, Yildizdag, M Erden, Pinelli, Xavier, Cazzani, Antonio, and Hild, François
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HINGES ,TORSIONAL stiffness ,METAMATERIALS ,DEFORMATIONS (Mechanics) ,DIGITAL image correlation - Abstract
The mechanical behavior of fibrous metamaterials is mainly determined by the interactions between the fibers composing the architecture. These interactions are usually of two different kinds: those directly depending on the positions of the fibers and those that need mediators, usually consisting of hinges, either inelastic or perfect, inducing restrictions on the kinematics of the fiber joints. In cases of interest, it has been observed that hinges can either have a certain torsional stiffness or behave as perfect joints, simply ensuring that the fibers remain interconnected, but not applying any constraint on the relative rotations between them. Here the effect of torsional stiffness of inelastic hinges is studied in two shear tests for a selected fibrous metamaterial. It is shown that the stiffness of hinges can be tailored to avoid, or at least reduce, out-of-plane deformations. Moreover, it is shown that, after reaching a threshold, permanent deformations are observed. This phenomenon is treated in a simplified way, by introducing damage in the continuum model. [ABSTRACT FROM AUTHOR]
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- 2022
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8. Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?
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Spagnuolo, Mario, primary, Yildizdag, M Erden, additional, Andreaus, Ugo, additional, and Cazzani, Antonio M, additional
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- 2020
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9. Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?
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Spagnuolo, Mario, Yildizdag, M Erden, Andreaus, Ugo, and Cazzani, Antonio M
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METAMATERIALS ,PANTOGRAPH ,BEHAVIOR ,FORECASTING ,COMPUTER simulation - Abstract
The central theme of this study is to investigate a remarkable capability of a second-gradient continuum model developed for pantographic structures. The model is applied to a particular type of this metamaterial, namely the wide-knit pantograph. As this type of structure has low fiber density, the applicability of such a continuum model may be questionable. To address this uncertainty, numerical simulations are conducted to analyze the behavior of a wide-knit pantographic structure, and the predicted results are compared with those measured experimentally under bias extension testing. The results presented in this study show that the numerical predictions and experimental measurements are in good agreement; therefore, in some useful circumstances, this model is applicable for the analysis of wide-knit pantographic structures. [ABSTRACT FROM AUTHOR]
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- 2021
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10. On a debated principle of Lagrange analytical mechanics and on its multiple applications
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Dell'Isola, Francesco, Andreaus, Ugo, Cazzani, Antonio, Perego, Umberto, Placidi, Luca, Ruta, Giuseppe, Scerrato, Daria, Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), Università degli Studi di Roma 'La Sapienza' = Sapienza University [Rome], Dipartimento di Ingegneria Civile, Ambientale e Architettura, Universita degli Studi di Cagliari [Cagliari], Dipartimento di Ingegneria Strutturale, Politecnico di Milano [Milan] (POLIMI), International Telematic University 'Uninettuno', Uninettuno, International Research Centre on Mathematics & Mechanics of Complex Systems (M&MoCS), and Università degli Studi dell'Aquila (UNIVAQ)
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[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph] - Abstract
The exact reference is the following: Di un Principio Controverso della Meccanica Analitica di Lagrange. Written by Doctor Gabrio Piola.Traslated by Francesco dell'Isola, Ugo Andreaus, Antonio Cazzani, Umberto Perego, Luca Placidi, Giuseppe Ruta and Daria Scerrato
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- 2014
11. Modal analysis of laminates by a mixed assumed-strain finite element model
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Cazzani, Antonio, primary, Rizzi, Nicola Luigi, additional, Stochino, Flavio, additional, and Turco, Emilio, additional
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- 2016
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12. ArchNURBS: NURBS-Based Tool for the Structural Safety Assessment of Masonry Arches in MATLAB
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Chiozzi, Andrea, primary, Malagù, Marcello, additional, Tralli, Antonio, additional, and Cazzani, Antonio, additional
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- 2016
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13. Sardinia radio telescope finite element model updating by means of photogrammetric measurements
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Stochino, Flavio, primary, Cazzani, Antonio, additional, Poppi, Sergio, additional, and Turco, Emilio, additional
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- 2015
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14. The Sardinia Radio Telescope: A comparison between close-range photogrammetry and finite element models
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Buffa, Franco, primary, Causin, Andrea, additional, Cazzani, Antonio, additional, Poppi, Sergio, additional, Sanna, Giannina, additional, Solci, Margherita, additional, Stochino, Flavio, additional, and Turco, Emilio, additional
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- 2015
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15. Modal analysis of laminates by a mixed assumed-strain finite element model.
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Cazzani, Antonio, Rizzi, Nicola Luigi, Stochino, Flavio, and Turco, Emilio
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LAMINATED materials , *STRAINS & stresses (Mechanics) , *FINITE element method , *STRUCTURAL shells , *STRUCTURAL plates - Abstract
Fibre-reinforced plates and shells are finding an increasing interest in engineering applications; in most cases dynamic phenomena need to be taken into account. Consequently, effective and robust computational tools are sought in order to provide reliable results for the analysis of such structural models. In this paper the mixed assumed-strain laminated plate element, previously used for static analyses, has been extended to the dynamic realm. This model is derived within the framework of the so-called First-order Shear Deformation Theory (FSDT). What is peculiar in this assumed-strain finite element is that in-plane strain components are modeled directly; the corresponding stress components are deduced via constitutive law. By enforcing the equilibrium equations for each lamina, and taking continuity requirements into account, the out-of-plane shear stresses are computed and, finally, constitutive law provides the corresponding strains. The resulting global strain field depends only on a fixed number of parameters, regardless of the total number of layers. Since the proposed element is not locking-prone, even in the thin plate limit, and provides an accurate description of inter-laminar stresses, an extension to the dynamic range seems to be particularly attractive. The same kinematic assumptions will lead to the formulation of a consistent mass matrix. The element, developed in this way, has been extensively tested for several symmetric lamination sequences; comparison with available analytical solutions and with numerical results obtained by refined 3-D models are also presented. [ABSTRACT FROM AUTHOR]
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- 2018
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16. Constitutive models for strongly curved beams in the frame of isogeometric analysis
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Cazzani, Antonio, primary, Malagù, Marcello, additional, Turco, Emilio, additional, and Stochino, Flavio, additional
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- 2015
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17. The Sardinia Radio Telescope: A comparison between close-range photogrammetry and finite element models.
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Buffa, Franco, Causin, Andrea, Cazzani, Antonio, Poppi, Sergio, Sanna, Giannina, Solci, Margherita, Stochino, Flavio, and Turco, Emilio
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RADIO telescopes ,PHOTOGRAMMETRY ,FINITE element method ,ACTUATORS ,DEFORMATIONS (Mechanics) - Abstract
The Sardinia Radio Telescope (SRT), located near Cagliari (Italy), is the world’s second largest fully steerable radio telescope endowed with an active-surface system. Its primary mirror has a quasi-parabolic shape with a diameter of 64 m. The configuration of the primary mirror surface can be modified by means of electro-mechanical actuators. This capability ensures, within a fixed range, the balancing of the deformation caused, for example, by loads such as self-weight, thermal effects and wind pressure. In this way, the difference between the ideal shape of the mirror (which maximizes its performances) and the actual surface can be reduced. In this paper the authors describe the characteristics of the SRT, the close-range photogrammetry (CRP) survey developed in order to set up the actuator displacements, and a finite element model capable of accurately estimating the structural deformations. Numerical results are compared with CRP measurements in order to test the accuracy of the model. [ABSTRACT FROM AUTHOR]
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- 2017
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18. Sardinia radio telescope finite element model updating by means of photogrammetric measurements.
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Stochino, Flavio, Cazzani, Antonio, Poppi, Sergio, and Turco, Emilio
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RADIO telescopes , *FINITE element method , *PHOTOGRAMMETRY , *ACTUATORS - Abstract
The 64 m diameter Sardinia Radio Telescope (SRT), located near Cagliari (Italy), is the world’s second largest fully steerable radio telescope with an active surface. Among its peculiarities is the capability of modifying the configuration of the primary mirror surface by means of electromechanical actuators. This capability enables, within a fixed range, balancing of the deformation caused by external loads. In this way, the difference between the ideal shape of the mirror (which maximizes its performance) and the actual surface can be reduced. The control loop of the radio telescope needs a procedure that is able to predict SRT deformation, with the required accuracy, in order to reduce deviation from the ideal shape. To achieve this aim, a finite element model that can accurately predict the displacements of the structure is required. Unfortunately, the finite element model of the SRT, although very refined, does not give completely satisfactory results, since it does not take into account essential pieces of information, for instance, thermal strains and assembly defects. This paper explores a possible update of the finite element model using only the benchmark data available, i.e. the photogrammetric survey developed during the setup of the reflecting surface. This updating leads to a significant reduction in the differences between photogrammetric data and results of the numerical model. The effectiveness of this tuning procedure is then assessed. [ABSTRACT FROM AUTHOR]
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- 2017
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19. Isogeometric analysis of plane-curved beams
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Cazzani, Antonio, primary, Malagù, Marcello, additional, and Turco, Emilio, additional
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- 2014
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20. ON THE DYNAMICS OF A BEAM PARTIALLY SUPPORTED BY AN ELASTIC FOUNDATION: AN EXACT SOLUTION-SET
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CAZZANI, ANTONIO, primary
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- 2013
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21. Isogeometric analysis of plane-curved beams.
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Cazzani, Antonio, Malagù, Marcello, and Turco, Emilio
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ISOGEOMETRIC analysis , *PLANE curves , *PHOTON beams , *INTERPOLATION , *APPROXIMATION theory - Abstract
A curved beam element based on the Timoshenko model and non-uniform rational B-splines (NURBS) interpolation both for geometry and displacements is presented. Such an element can be used to suitably analyse plane-curved beams and arches. Some numerical results will explore the effectiveness and accuracy of this novel method by comparing its performance with those of some accurate finite elements proposed in the technical literature, and also with analytical solutions: for the cases where such closed-form solutions were not available in the literature, they have been computed by exact integration of the governing differential equations. It is shown that the presented element is almost insensitive to both membrane- and shear-locking, and that such phenomena can be easily controlled by properly choosing the number of elements or the NURBS degree. [ABSTRACT FROM AUTHOR]
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- 2016
- Full Text
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22. Constitutive models for strongly curved beams in the frame of isogeometric analysis.
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Cazzani, Antonio, Malagù, Marcello, Turco, Emilio, and Stochino, Flavio
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CURVED beams , *ISOGEOMETRIC analysis , *MECHANICS (Physics) , *SPLINES , *SHALLOW-water equations - Abstract
The current development of the isogeometric approach in various fields of mechanics is explained by the high-accuracy results which can be achieved at a reduced computational cost by codes based on non-uniform rational B-splines (NURBS). In the case of strongly curved beams the simple diagonal de Saint-Venant’s constitutive model can lead to significant errors as it has been reported in the classic literature. Other models such as Winkler’s have been proposed and seem more suitable for these kinds of structures. Unfortunately several numerical codes are based on a diagonal constitutive model which neglects the coupling effect of elongation and curvature even if a highly refined geometry description can be developed by means of NURBS. The results obtained by means of numerical codes based on isogeometrical analysis for curved beams are here reported and basic choices, computational costs and numerical accuracy of the above-mentioned constitutive models are discussed, from a qualitative and quantitative point of view. This comparison, in the authors’ opinion, is necessary to avoid an excessive gap between the computational efficiency of NURBS, which are capable of very accurate geometry description, and a simplistic representation of the constitutive relations that is efficient for straight beams but not so much for curved beams whose curvature is large. The results of some selected tests are presented and discussed to highlight differences between the two approaches, showing that the small increase of computational cost of Winkler’s model is well compensated by the accuracy gain. [ABSTRACT FROM AUTHOR]
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- 2016
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23. Pantographic metamaterials: an example of mathematically driven design and of its technological challenges
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Marek Pawlikowski, Aron Pfaff, Ivan Giorgio, Tomasz Lekszycki, Jean-François Ganghoffer, Anil Misra, François Hild, David J. Steigmann, Mario Spagnuolo, Massimo Cuomo, Wolfgang H. Müller, Gregor Ganzosch, Jan Neggers, Roman Grygoruk, Claude Boutin, Inna Zurba Eremeeva, Emilio Barchiesi, Maciej Golaszewski, Leopoldo Greco, Luca Placidi, Katarzyna Barcz, Nicola Luigi Rizzi, Klaus Hoschke, Alessandro Della Corte, Pierre Seppecher, Francesco dell’Isola, Yosra Rahali, Daria Scerrato, Antonio Cazzani, Antonio Battista, Victor A. Eremeyev, Ugo Andreaus, Emilio Turco, Jean Jacques Alibert, International Research Centre on Mathematics & Mechanics of Complex Systems (M&MoCS), Università degli Studi dell'Aquila (UNIVAQ), Institut de Mathématiques de Toulon - EA 2134 (IMATH), Université de Toulon (UTLN), PAN Warszawa, Instytut Podstawowych Problemów Technik, International Research Center for the Mathematics & Mechanics of Complex Systems (MEMOCS), Warsaw University of Technology [Warsaw], Department of Mechanical Engineering [Berkeley], University of California [Berkeley], University of California-University of California, Dipartimento di Ingegneria Meccanica e Aerospaziale (DIMA), Università degli Studi di Roma 'La Sapienza' = Sapienza University [Rome], Dipartimento di Ingegneria Strutturale e Geotecnica (DISG), UNISS, Dipartimento di Architettura, Design e Urbanistica, Laboratoire Géomatériaux (DGCB-LGM), École Nationale des Travaux Publics de l'État (ENTPE)-Centre National de la Recherche Scientifique (CNRS), Institut für Mechanik, Otto-von-Guericke University [Magdeburg] (OVGU), Department of Civil, Environmental and Architectural Engineering (CEAE), University of Kansas [Lawrence] (KU), International Telematic University 'Uninettuno', Uninettuno, Dipartimento di Ingegneria Civile ed Ambientale, Università degli studi di Catania [Catania], Dipartimento di Ingegneria Civile, Ambientale e Architettura, Universita degli Studi di Cagliari [Cagliari], Unité de recherche de Mécanique des Solides, des Structures et des Développements technologiques, Ecole Supérieure des Sciences et Techniques [Tunis] (ESSTT), University of Education [Weingarten], University of Education, TU Berlin, Chair of Continuum Mechanics and Materials Theory, Laboratoire de Mécanique et Technologie (LMT), École normale supérieure - Cachan (ENS Cachan)-Centre National de la Recherche Scientifique (CNRS), Dell’Isola, Francesco, Seppecher, Pierre, Alibert, Jean Jacque, Lekszycki, Tomasz, Grygoruk, Roman, Pawlikowski, Marek, Steigmann, David, Giorgio, Ivan, Andreaus, Ugo, Turco, Emilio, Gołaszewski, Maciej, Rizzi, Nicola, Boutin, Claude, Eremeyev, Victor A., Misra, Anil, Placidi, Luca, Barchiesi, Emilio, Greco, Leopoldo, Cuomo, Massimo, Cazzani, Antonio, Corte, Alessandro Della, Battista, Antonio, Scerrato, Daria, Eremeeva, Inna Zurba, Rahali, Yosra, Ganghoffer, Jean-Françoi, Müller, Wolfgang, Ganzosch, Gregor, Spagnuolo, Mario, Pfaff, Aron, Barcz, Katarzyna, Hoschke, Klau, Neggers, Jan, Hild, François, Dipartimento di Ingegneria Strutturale e Geotecnica [Rome], Dipartimento di Ingegneria Civile, Edile-Architettura, Ambientale (DICEAA), Research Institute for Mechanics, National Research Lobachevsky State University of Nizhni Novgorod, Nizhny Novgorod Russia, Institute of Mechanics and Printing Warsaw University of Technology Warsaw Poland, Department of Experimental Physiology and Pathophysiology Medical University of WarsawWarsaw Poland, Dipartimento di Ingegneria Strutturale e Geotecnica Università degli Studi di Roma 'La Sapienza.'Rome Italy, Dipartimento di Architettura, Design, Urbanistica Università degli Studi di Sassari Alghero Italy, Università degli Studi Roma Tre, Ecole Nationale des Travaux Publics de l’Etat, LGCB CNRS 5513 - CeLyA Université de Lyon, Vaulx-en-Velin Cedex, France, Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, Gdańsk, Poland, Southern Federal University [Rostov-on-Don] (SFEDU), International Telematic University Uninettuno, Dipartimento di Ingegneria Strutturale e Geotecnica Università degli Studi di Roma 'La Sapienza.' Rome Italy, Dipartimento di Ingegneria Civile ed Ambientale (sezione di Ingegneria Strutturale), Università di Catania, Catania, Italy, Dipartimento di Ingegneria Civile, Ambientale e ArchitetturaUniversità degli studi di Cagliari, Cagliari, Italy, Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356 (LaSIE), Université de La Rochelle (ULR)-Centre National de la Recherche Scientifique (CNRS), National Research Lobachevsky State University of Nizhny Novgorod (UNN), Laboratoire Énergies et Mécanique Théorique et Appliquée (LEMTA ), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Faculty of Mechanics, Berlin University of Technology, Berlin, Germany, Laboratoire des Sciences des Procédés et des Matériaux, Université Paris 13, Villetaneuse, France, Fraunhofer Institute for High-Speed Dynamics - Ernst-Mach-Institut (Fraunhofer EMI), Fraunhofer (Fraunhofer-Gesellschaft), and Publica
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Rapid prototyping ,Computer science ,Structure (category theory) ,General Physics and Astronomy ,Mechanical engineering ,02 engineering and technology ,Pantographic fabric ,metamaterial ,01 natural sciences ,010305 fluids & plasmas ,[PHYS.MECA.MEMA]Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph] ,Metamaterial ,Scientific design ,Physics and Astronomy (all) ,0203 mechanical engineering ,0103 physical sciences ,Higher gradient materials ,Metamaterials ,Pantographic fabrics ,Materials Science (all) ,Mechanics of Materials ,General Materials Science ,Mechanics of Material ,Class (computer programming) ,Structural material ,Higher gradient material ,Pantographic fabrics · Metamaterials · Scientific design · Higher gradient materials ,[PHYS.MECA]Physics [physics]/Mechanics [physics] ,Strength of materials ,pantographic fabrics ,Numerical integration ,020303 mechanical engineering & transports ,scientific design ,higher gradient material ,Key (cryptography) - Abstract
International audience; In this paper, we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be solved was stated as follows: determine the material (micro)structure governed by those equations that specify a desired behavior. Addressing this problem has led to the synthesis of second gradient materials. In the second stage, it has been necessary to develop numerical integration schemes and the corresponding codes for solving, in physically relevant cases, the chosen equations. Finally, it has been necessary to physically construct the theoretically synthesized microstructures. This has been possible by means of the recent developments in rapid prototyping technologies, which allow for the fabrication of some complex (micro)structures considered, up to now, to be simply some mathematical dreams. We show here a panorama of the results of our efforts (1) in designing pantographic metamaterials, (2) in exploiting the modern technology of rapid prototyping, and (3) in the mechanical testing of many real prototypes. Among the key findings that have been obtained, there are the following ones: pantographic metamaterials (1) undergo very large deformations while remaining in the elastic regime, (2) are very tough in resisting to damage phenomena, (3) exhibit robust macroscopic mechanical behavior with respect to minor changes in their microstructure and micromechanical properties, (4) have superior strength to weight ratio, (5) have predictable damage behavior, and (6) possess physical properties that are critically dictated by their geometry at the microlevel.
- Published
- 2019
24. Modal analysis of laminates by a mixed assumed-strain finite element model
- Author
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Antonio Cazzani, Nicola Luigi Rizzi, Emilio Turco, Flavio Stochino, Cazzani, Antonio, Rizzi, Nicola Luigi, Stochino, Flavio, and Turco, Emilio
- Subjects
Field (physics) ,business.industry ,General Mathematics ,Modal analysis ,Mathematical analysis ,Constitutive equation ,02 engineering and technology ,Structural engineering ,Mixed finite element method ,01 natural sciences ,Finite element method ,010101 applied mathematics ,Stress (mechanics) ,Vibration ,Shear (sheet metal) ,020303 mechanical engineering & transports ,Fibre-reinforced material, plates, vibration analysis, finite element method, mixed variational principles ,0203 mechanical engineering ,Mechanics of Materials ,General Materials Science ,0101 mathematics ,business ,Mathematics - Abstract
Fibre-reinforced plates and shells are finding an increasing interest in engineering applications; in most cases dynamic phenomena need to be taken into account. Consequently, effective and robust computational tools are sought in order to provide reliable results for the analysis of such structural models. In this paper the mixed assumed-strain laminated plate element, previously used for static analyses, has been extended to the dynamic realm. This model is derived within the framework of the so-called First-order Shear Deformation Theory (FSDT). What is peculiar in this assumed-strain finite element is that in-plane strain components are modeled directly; the corresponding stress components are deduced via constitutive law. By enforcing the equilibrium equations for each lamina, and taking continuity requirements into account, the out-of-plane shear stresses are computed and, finally, constitutive law provides the corresponding strains. The resulting global strain field depends only on a fixed number of parameters, regardless of the total number of layers. Since the proposed element is not locking-prone, even in the thin plate limit, and provides an accurate description of inter-laminar stresses, an extension to the dynamic range seems to be particularly attractive. The same kinematic assumptions will lead to the formulation of a consistent mass matrix. The element, developed in this way, has been extensively tested for several symmetric lamination sequences; comparison with available analytical solutions and with numerical results obtained by refined 3-D models are also presented.
- Published
- 2016
25. Large deformations induced in planar pantographic sheets by loads applied on fibers: Experimental validation of a discrete Lagrangian model
- Author
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Maciej Golaszewski, Antonio Cazzani, Nicola Luigi Rizzi, Emilio Turco, Turco, Emilio, Golaszewski, Maciej, Cazzani, Antonio, and Rizzi, Nicola Luigi
- Subjects
Toughness ,Computer science ,business.industry ,Mechanical Engineering ,Metamaterial ,Pantographic structures, Fiber pull-out test, Lagrangian model, Micro-mechanical model, Second gradient continuum, Nonlinear problems ,Dimensional modeling ,02 engineering and technology ,Experimental validation ,Structural engineering ,Condensed Matter Physics ,01 natural sciences ,Strength of materials ,010101 applied mathematics ,020303 mechanical engineering & transports ,Planar ,0203 mechanical engineering ,Mechanics of Materials ,Robustness (computer science) ,Lagrangian model ,General Materials Science ,0101 mathematics ,business ,Civil and Structural Engineering - Abstract
In [1] a novel metamaterial has been designed and studied, whose performances include an enhanced toughness in extension: one of the problems to be solved in the further development of the concept involves the study of its deformation induced by loads concentrated on fibers (fiber pull-out test). A continuum model seems particularly unfit for the description of this kind of phenomena. As a consequence, in order to design a campaign of experimental tests we resorted to numerical simulations based on a novel Lagrangian, finite dimensional model for pantographic sheets. The developed code has the robustness features necessary to supply reliable predictions also in presence of very large deformations and, indeed, produces very accurate predictions. The agreement between the presented three-elastic-parameters discrete Lagrangian model and the numerous experimental measurements performed is very accurate. Therefore we are confident that, once we will have improved the model to include damage onset, it will be possible to describe also the rupture and final failure of planar pantographic sheets.
- Published
- 2016
26. Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
- Author
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Nicola Luigi Rizzi, Francesco dell’Isola, Antonio Cazzani, Emilio Turco, DADU, Università degli Studi di Sassari, Sassari, Università degli Studi di Roma 'La Sapienza' = Sapienza University [Rome], DICAAR, Università degli Studi di Cagliari, Cagliari, Università degli Studi Roma Tre, Turco, Emilio, Dell’Isola, Francesco, Cazzani, Antonio, and Rizzi, Nicola Luigi
- Subjects
Pure mathematics ,Large deformation ,74S30 ,74-04 ,74B20 ,74Q05 ,Primary 74-XX ,Secondary 70H03 ,General Mathematics ,General Physics and Astronomy ,02 engineering and technology ,Type (model theory) ,Displacement (vector) ,Physics and Astronomy (all) ,0203 mechanical engineering ,Mathematics (all) ,Applied mathematics ,Mathematics ,Conjecture ,Pantographic structures, Micro-mechanical model, Second gradient continuum, Nonlinear problems ,Continuum (topology) ,Applied Mathematics ,[PHYS.MECA]Physics [physics]/Mechanics [physics] ,021001 nanoscience & nanotechnology ,020303 mechanical engineering & transports ,0210 nano-technology - Abstract
International audience; Hencky (Über die angenäherte Lösung von Stabilitätsproblemen im Raum mittels der elastischen Gelenkkette. Ph.D. thesis, Engelmann, 1921) proposed a discrete model for elasticae by introducing rigid bars and rotational springs. Hencky (Proc R Soc Lond A Math Phys Eng Sci 472(2185), 2016) approach has been introduced to heuristically motivate the need of second gradient continua. Here, we present a novel numerical code implementing directly the discrete Hencky-type model which is robust enough to solve the problem of the determination of equilibrium configurations in the large deformation and displacement regimes. We apply this model to study some potentially applicable problems, and we compare its performances with those of the second gradient continuum model. The numerical evidence presented supports the conjecture that Hencky-type converges to second gradient model.
- Published
- 2016
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