A MIXED FINITE ELEMENT METHOD FOR MULTI-CAVITY COM PUTATION IN INCOMPRESSIBLE NONLINEAR ELASTICITY  

作　　者：Weijie Huang Zhiping Li 

机构地区：[1]LMAM& School of Mathematical Sciences,Peking University,Beijing 100871,China

出　　处：《Journal of Computational Mathematics》2019年第5期609-628,共20页计算数学（英文）

摘　　要：A mixed finite element method combining an iso-parametric Q 2-P 1 element and an isoparametric P^-Pi 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.

关 键 词：Multiple CAVITATION computation INCOMPRESSIBLE nonlinear ELASTICITY Mixed finite element method LOCKING-FREE CONVERGENT 

分 类 号：O1[理学—数学]