A locking-free immersed finite element method for planar elasticity interface problems

被引：72
|
作者：
Lin, Tao [1 ]
Sheen, Dongwoo [2 ]
Zhang, Xu [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
[2] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 247卷
基金：
美国国家科学基金会;
关键词：
Elasticity interface problems; Nonconforming finite element; Immersed finite element; Cartesian mesh; Locking-free; DISCONTINUOUS GALERKIN; LINEAR ELASTICITY; MICROSTRUCTURAL EVOLUTION; EQUATIONS; SIMULATION; FAMILY; SPACE;
D O I：
10.1016/j.jcp.2013.03.053
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This article proposes a nonconforming immersed finite element (IFE) method for solving planar elasticity interface problems with structured (or Cartesian) meshes even if the material interface has a nontrivial geometry. IFE functions developed in this article are applicable to arbitrary configurations of elasticity materials and interface locations. Optimal approximation capability is observed for this new IFE space. The displacement Galerkin method based on this IFE space is robust (locking-free). Numerical experiments are presented to demonstrate that the IFE solution converges optimally for both compressible and nearly incompressible materials. (C) 2013 Elsevier Inc. All rights reserved.
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页码：228 / 247
页数：20
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