Peridynamic Modeling of Brittle Fracture in Mindlin-Reissner Shell Theory  

作　　者：Sai Li Xin Lai Lisheng Liu 

机构地区：[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

出　　处：《Computer Modeling in Engineering & Sciences》2022年第5期715-746,共32页工程与科学中的计算机建模（英文）

基　　金：The authors would like to express grateful acknowledgement to the support from National Natural Science Foundation of China(Nos.11802214 and 11972267);the Fundamental Research Funds for the Central Universities(WUT:2018IB006 and WUT:2019IVB042).

摘　　要：In this work,wemodeled 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 themean-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 thematerial 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.

关 键 词：Peridynamic brittle fracture Reissner-Mindlin shell theory 

分 类 号：O313[理学—一般力学与力学基础]