Continuum-kinematics-inspired peridynamics for transverse isotropy
de Villiers AM, Stadler J, Limbert G, McBride AT, Javili A, Steinmann P (2025)
Publication Type: Journal article
Publication year: 2025
Journal
Book Volume: 437
Article Number: 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.
Involved external institutions
Bilkent University / Bilkent Üniversitesi
Turkey (TR)
University of Glasgow
United Kingdom (GB)
University of Stellenbosch / Universiteit van Stellenbosch
South Africa (ZA)
University of Southampton
United Kingdom (GB)
Turkey (TR)
University of Glasgow
United Kingdom (GB)
University of Stellenbosch / Universiteit van Stellenbosch
South Africa (ZA)
University of Southampton
United Kingdom (GB)
How to cite
APA:
de Villiers, A.M., Stadler, J., Limbert, G., McBride, A.T., Javili, A., & Steinmann, P. (2025). Continuum-kinematics-inspired peridynamics for transverse isotropy. Computer Methods in Applied Mechanics and Engineering, 437. https://doi.org/10.1016/j.cma.2025.117780
MLA:
de Villiers, A. M., et al. "Continuum-kinematics-inspired peridynamics for transverse isotropy." Computer Methods in Applied Mechanics and Engineering 437 (2025).
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