@Article{JCM-23-101,
author = {He Qi, Lie-Heng Wang and Wei-Ying Zheng},
title = {On Locking-Free Finite Element Schemes for Three-Dimensional Elasticity},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {1},
pages = {101--112},
abstract = {<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>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8800.html}
}