Displacement reconstruction and strain refinement of clustering-based homogenization

作     者：Lei Zhang Shaoqiang Tang Lei Zhang;Shaoqiang Tang

作者机构：HEDPS and LTCSCollege of EngineeringPeking UniversityBeijing 100871China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2021年第11卷第6期

页      面：343-349页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported partially by the National Natural Science Foundation of China 

主　　题：Homogenization Self-consistent clustering analysis Lippmann-Schwinger equation Green’s function 

摘      要：Recently proposed clustering-based methods provide an efficient way for homogenizing heterogeneous materials,yet without concerning the detailed distribution of the mechanical responses.With coarse fields of the clustering-based methods as an initial guess,we develop an iteration strategy to fastly and accurately resolve the displacement,strain and stress based on the Lippmann-Schwinger equation,thereby benefiting the local mechanical analysis such as the detection of the stress concentration.From a simple elastic case,we explore the convergence of the method and give an instruction for the selection of the reference material.Numerical tests show the efficiency and fast convergence of the reconstruction method in both elastic and hyper-elastic materials.