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Computational Mechanics
Published in: Computational Mechanics 6/2023

08-03-2023 | Original Paper

A general anisotropic peridynamic plane model based on micro-beam bond

Authors: Guozhe Shen, Bo Xu, Yang Xia, Weidong Li, Guojun Zheng

Published in: Computational Mechanics | Issue 6/2023

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Abstract

Peridynamic (PD) theory can overcome the shortcomings of classical continuum mechanics (CCM) in simulating crack initiation and propagation. In this paper, a general anisotropic PD plane model is proposed based on the micro-beam bond. First, the general anisotropic expression of the micromoduli in different directions can be expressed through a certain transformation relation, which can make the bond exhibit general anisotropy. Then, with the use of the Allman interpolation method, the deformations of the bond can be obtained, and the PD strain energy density of the general anisotropic plane model can be expressed. Finally, the general anisotropic PD parameters in the micromoduli expression can be obtained by equating the strain energy densities of PD and CCM models. Numerical examples of static uniaxial tension, static shear, dynamic fracture of the compact tension test and dynamic fracture of the three-hole plate test prove the effectiveness of the proposed model in handling static in-plane problems and dynamic in-plane fracture problems.
next article Introduction of pseudo-stress for local residual and algebraic derivation of consistent tangent in elastoplasticity

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Metadata
Title
A general anisotropic peridynamic plane model based on micro-beam bond
Authors
Guozhe Shen
Bo Xu
Yang Xia
Weidong Li
Guojun Zheng
Publication date
08-03-2023
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 6/2023
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-023-02274-2

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