Clustering solver for displacement-based numerical homogenization

作     者：Shaoqiang Tang Xi Zhu Shaoqiang Tang;Xi Zhu

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

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

年 卷 期：2022年第12卷第3期

页      面：207-212页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China(Grant Nos.11832001 11890681 and 11988102). 

主　　题：Clustering Finite element method Numerical homogenization 

摘      要：Based on strain-clustering via k-means,we decompose computational domain into clusters of possibly disjoint cells.Assuming cells in each cluster take the same strain,we reconstruct displacement field.We further propose a new way to condensate the governing equations of displacement-based finite element method to reduce the complexity while maintain the accuracy.Numerical examples are presented to illustrate the efficiency of the clustering solver.Numerical convergence studies are performed for the examples.Avoiding complexities which is common in existing clustering analysis methods,the proposed clustering solver is easy to implement,particularly for numerical homogenization using commercial softwares.