Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 101–112
Abstract
In the present paper, the authors discuss the locking phenomenon of the finite element method for three-dimensional elasticity as the Lamé constant $\lambda \rightarrow\infty$. Three kinds of finite elements are proposed and analyzed to approximate the three-dimensional elasticity with pure displacement boundary condition. Optimal order error estimates which are uniform with respect to $\lambda\in (0,+\infty)$ are obtained for three schemes. Furthermore, numerical results are presented to show that, our schemes are locking-free and and the trilinear conforming finite element scheme is locking.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8800
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 101–112
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Three-dimensional elasticity Locking-free Nonconforming finite element.