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F. Scabbia, M. Zaccariotto, U. Galvanetto, "An Ordinary State-Based Peridynamic Model for the Simulation of Anisotropic Materials Under Finite Deformation", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 10.2, 2025,

Keywords: ordinary state-based peridynamics, anisotropic materials, finite deformation, Cook's membrane, single-bond micromodulus, double-bond micromodulus.

Abstract

The theory of peridynamics has been proven to be effective in several applications involving fracture phenomena. Over the past two decades, several works investigated the possibility of modeling anisotropic materials with the peridynamic theory. In this context, we introduced an ordinary state-based peridynamic formulation capable of accurately predicting the anisotropic behavior of materials subjected to small deformations. In this formulation, the stiffness of a bond between two material points depends not only on its own direction (through the single-bond micromodulus), but also on the direction of the other bonds connected to those points (through the double-bond micromodulus). The present work verifies that this peridynamic model can also be applied to anisotropic materials under finite deformations. Furthermore, we developed a numerical method based on an incremental-iterative analysis which is able to solve the geometrically nonlinear problem of Cook's membrane made of a linear, elastic, anisotropic material. This is a preliminary step towards using peridynamic theory to model fracture in hyperelastic anisotropic materials.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 10 PROCEEDINGS OF THE EIGHTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Iványi, J. Kruis and B.H.V. Topping Paper 10.2 An Ordinary State-Based Peridynamic Model for the Simulation of Anisotropic Materials Under Finite Deformation F. Scabbia, M. Zaccariotto and U. Galvanetto Department of Industrial Engineering, Università degli Studi di Padova, Italy Full Bibliographic Reference for this paper F. Scabbia, M. Zaccariotto, U. Galvanetto, "An Ordinary State-Based Peridynamic Model for the Simulation of Anisotropic Materials Under Finite Deformation", in P. Iványi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Eighteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 10, Paper 10.2, 2025, Keywords: ordinary state-based peridynamics, anisotropic materials, finite deformation, Cook's membrane, single-bond micromodulus, double-bond micromodulus. Abstract The theory of peridynamics has been proven to be effective in several applications involving fracture phenomena. Over the past two decades, several works investigated the possibility of modeling anisotropic materials with the peridynamic theory. In this context, we introduced an ordinary state-based peridynamic formulation capable of accurately predicting the anisotropic behavior of materials subjected to small deformations. In this formulation, the stiffness of a bond between two material points depends not only on its own direction (through the single-bond micromodulus), but also on the direction of the other bonds connected to those points (through the double-bond micromodulus). The present work verifies that this peridynamic model can also be applied to anisotropic materials under finite deformations. Furthermore, we developed a numerical method based on an incremental-iterative analysis which is able to solve the geometrically nonlinear problem of Cook's membrane made of a linear, elastic, anisotropic material. This is a preliminary step towards using peridynamic theory to model fracture in hyperelastic anisotropic materials. download the full-text of this paper (PDF, 2989 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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