A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation  

作　　者：Jingrun Chen Pingbing Ming Jerry Zhijian Yang 

机构地区：[1]Institute of Computational Mathematics and Scientific/Engineering Computing,AMSS,Chinese Academy of Sciences,Beijing,100190,P.R.China. [2]LSEC,Institute of Computational Mathematics and Scientific/Engineering Computing,AMSS,Chinese Academy of Sciences,No.55 East Road Zhong-Guan-Cun,Beijing,100190,P.R.China. [3]School of Mathematics and Statistics,Wuhan University,Wuhan,430072,P.R.China. [4]South Hall 6705,Mathematics Department,University of California,Santa Barbara,CA93106,USA

出　　处：《Communications in Computational Physics》2014年第2期470-486,共17页计算物理通讯（英文）

基　　金：supported by National Science Foundation grant DMS-1217315;supported by National Natural Science Foundation of China under the grant 10932011,91230203 and by the funds for creative research group of China(Grant No.11021101);by the support of CAS National Center for Mathematics and Interdisciplinary Sciences;supported by National Natural Science Foundation of China under the grants 11001210 and 11171305 and 91230203.

摘　　要：We introduce a new multigrid method to study the lattice statics model arising from nanoindentation.A constrained Cauchy-Born elasticity model is used as the coarse-grid operator.This method accelerates the relaxation process and considerably reduces the computational cost.In particular,it saves quite a bit when dislocations nucleate and move,as demonstrated by the simulation results.

关 键 词：Multigrid method constrained Cauchy-Born elasticity NANOINDENTATION CauchyBorn rule. 

分 类 号：O24[理学—计算数学]