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A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation

Published online by Cambridge University Press:  03 June 2015

Jingrun Chen ,
Pingbing Ming  and
Jerry Zhijian Yang
Jingrun Chen*
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, P.R. China
Pingbing Ming*
Affiliation:
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
Jerry Zhijian Yang*
Affiliation:
School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P.R. China
*
Email:chenjr@lsec.cc.ac.cn
Email:mpb@lsec.cc.ac.cn
Corresponding author.Email:zjyang.math@whu.edu.cn
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Abstract

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.

Keywords

65B9965N3065Z0574G1574G6574S05Multigrid methodconstrained Cauchy-Born elasticitynanoindentationCauchy-Born rule
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 2 , February 2014 , pp. 470 - 486
Copyright
Copyright © Global Science Press Limited 2014

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