TY - JOUR
T1 - A Mixed Finite Element Method for Multi-Cavity Computation in Incompressible Nonlinear Elasticity
AU - Huang , Weijie
AU - Li , Zhiping
JO - Journal of Computational Mathematics
VL - 5
SP - 609
EP - 628
PY - 2019
DA - 2019/03
SN - 37
DO - http://doi.org/10.4208/jcm.1807-m2018-0137
UR - https://global-sci.org/intro/article_detail/jcm/13037.html
KW - Multiple cavitation computation, Incompressible nonlinear elasticity, Mixed finite element method, Locking-free, Convergent.
AB - <p style="text-align: justify;">A mixed finite element method combining an iso-parametric $Q_2$-$P_1$ element and an
iso-parametric $P^+_2$-$P_1$ element is developed for the computation of multiple cavities in
incompressible nonlinear elasticity. The method is analytically proved to be locking-free
and convergent, and it is also shown to be numerically accurate and efficient by numerical
experiments. Furthermore, the newly developed accurate method enables us to find an
interesting new bifurcation phenomenon in multi-cavity growth.</p>