TY - JOUR
T1 - On Locking-Free Finite Element Schemes for Three-Dimensional Elasticity
JO - Journal of Computational Mathematics
VL - 1
SP - 101
EP - 112
PY - 2005
DA - 2005/02
SN - 23
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8800.html
KW - Three-dimensional elasticity, Locking-free, Nonconforming finite element.
AB - <p style="text-align: justify;">In the present paper, the authors discuss the locking phenomenon of the finite element method for three-dimensional elasticity as the Lamé&nbsp;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.&nbsp;&nbsp;</p>