Displacement reconstruction and strain refinement of clustering-based homogenization

Theoretical and Applied Mechanics Letters

Shaoqiang Tang¹  Lei Zhang² 

[1] Corresponding author.;HEDPS and LTCS, College of Engineering, Peking University, Beijing 100871, China;

关键词: Homogenization;    Self-consistent clustering analysis;    Lippmann-Schwinger equation;    Green's function;   

DOI  :  

来源: DOAJ

【 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.

【 授权许可】

Unknown