Peridynamic Shell Model Based on Micro-Beam Bond  

作　　者：Guojun Zheng Zhaomin Yan Yang Xia Ping Hu Guozhe Shen 

机构地区：[1]School of Automotive Engineering,Dalian University of Technology,Dalian,116024,China [2]State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,116024,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第3期1975-1995,共21页工程与科学中的计算机建模（英文）

基　　金：funded by Project of the National Natural Science Foundation of China(Grant No.11872017).

摘　　要：Peridynamics(PD)is a non-localmechanics theory that overcomes the limitations of classical continuummechanics(CCM)in predicting the initiation and propagation of cracks.However,the calculation efficiency of PDmodels is generally lower than that of the traditional finite elementmethod(FEM).Structural idealization can greatly improve the calculation efficiency of PD models for complex structures.This study presents a PD shell model based on the micro-beam bond via the homogenization assumption.First,the deformations of each endpoint of themicro-beam bond are calculated through the interpolation method.Second,the micro-potential energy of the axial,torsional,and bending deformations of the bond can be established from the deformations of endpoints.Finally,the micro moduli of the shellmodel can be obtained via the equivalence principle of strain energy density(SED).In addition,a new fracture criterion based on the SED of the micro-beam bond is adopted for crack simulation.Numerical examples of crack propagation are provided,and the results demonstrate the effectiveness of the proposed PD shell model.

关 键 词：PERIDYNAMICS SHELL micro-beam bond interpolation method crack propagation HOMOGENIZATION 

分 类 号：O57[理学—粒子物理与原子核物理]