Open Access

ARTICLE

Peridynamic Modeling of Brittle Fracture in Mindlin-Reissner Shell Theory

Sai Li¹, Xin Lai^2,*, 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:

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

Received 01 August 2021; Accepted 29 December 2021; Issue published 14 March 2022

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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Keywords

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