A finite element method for nearly incompressible elasticity problems

被引：18
|
作者：
Braess, D [1 ]
Ming, P
机构：
[1] Ruhr Univ Bochum, Fac Math, D-44780 Bochum, Germany
[2] Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
来源：
MATHEMATICS OF COMPUTATION | 2005年 / 74卷 / 249期
关键词：
incompressible elasticity; green's functions; L-infinity-estimates;
D O I：
10.1090/S0025-5718-04-01662-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A finite element method is considered for dealing with nearly incompressible material. In the case of large deformations the nonlinear character of the volumetric contribution has to be taken into account. The proposed mixed method avoids volumetric locking also in this case and is robust for lambda --> infinity(with lambda being the well-known Lame constant). Error estimates for the L-infinity-norm are crucial in the control of the nonlinear terms.
引用
收藏
页码：25 / 52
页数：28
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