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Peridynamic Modeling of Brittle Fracture in Mindlin-Reissner Shell Theory

Sai Li1, Xin Lai2,*, Lisheng Liu3

1 Department of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan, 430070, China
2 Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, Wuhan University of Technology, Wuhan, 430070, China
3 State Key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University of Technology, Wuhan, 430070, China

* Corresponding Author: Xin Lai. Email: email

Computer Modeling in Engineering & Sciences 2022, 131(2), 715-746. https://doi.org/10.32604/cmes.2022.018544

Abstract

In this work, we modeled the brittle fracture of shell structure in the framework of Peridynamics Mindlin-Reissener shell theory, in which the shell is described by material points in the mean-plane with its drilling rotation neglected in kinematic assumption. To improve the numerical accuracy, the stress-point method is utilized to eliminate the numerical instability induced by the zero-energy mode and rank-deficiency. The crack surface is represented explicitly by stress points, and a novel general crack criterion is proposed based on that. Instead of the critical stretch used in common peridynamic solid, it is convenient to describe the material failure by using the classic constitutive model in continuum mechanics. In this work, a concise crack simulation algorithm is also provided to describe the crack path and its development, in order to simulate the brittle fracture of the shell structure. Numerical examples are presented to validate and demonstrate our proposed model. Results reveal that our model has good accuracy and capability to represent crack propagation and branch spontaneously.

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Cite This Article

Li, S., Lai, X., Liu, L. (2022). Peridynamic Modeling of Brittle Fracture in Mindlin-Reissner Shell Theory. CMES-Computer Modeling in Engineering & Sciences, 131(2), 715–746.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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