Volume 15, Issue 2
A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation

Jingrun Chen, Pingbing Ming & Jerry Zhijian Yang

Commun. Comput. Phys., 15 (2014), pp. 470-486.

Published online: 2014-02

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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.

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@Article{CiCP-15-470, author = {}, title = {A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation}, journal = {Communications in Computational Physics}, year = {2014}, volume = {15}, number = {2}, pages = {470--486}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.020912.150713a}, url = {http://global-sci.org/intro/article_detail/cicp/7102.html} }
TY - JOUR T1 - A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation JO - Communications in Computational Physics VL - 2 SP - 470 EP - 486 PY - 2014 DA - 2014/02 SN - 15 DO - http://dor.org/10.4208/cicp.020912.150713a UR - https://global-sci.org/intro/article_detail/cicp/7102.html KW - AB -

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.

Jingrun Chen, Pingbing Ming & Jerry Zhijian Yang. (2020). A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation. Communications in Computational Physics. 15 (2). 470-486. doi:10.4208/cicp.020912.150713a
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