Peridynamic Shell Model Based on Micro-Beam Bond
作者机构：School of Automotive EngineeringDalian University of TechnologyDalian116024China State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalian116024China
出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)
年 卷 期：2023年第134卷第3期
页 面：1975-1995页
核心收录：
学科分类：07[理学] 070202[理学-粒子物理与原子核物理] 0701[理学-数学] 0702[理学-物理学]
基 金：funded by Project of the National Natural Science Foundation of China(Grant No.11872017).
主 题：Peridynamics shell micro-beam bond interpolation method crack propagation homogenization
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.
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