Volume 12, Issue 4
A Locking-Free DP-Q2-P1 MFEM for Incompressible Nonlinear Elasticity Problems

Weijie Huang and Zhiping Li

10.4208/nmtma.OA-2018-0087

Numer. Math. Theor. Meth. Appl., 12 (2019), pp. 995-1011.

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  • Abstract

A mixed finite element method (MFEM), using dual-parametric piecewise biquadratic and affine (DP-Q2-P1) finite element approximations for the deformation and the pressure like Lagrange multiplier respectively, is developed and analyzed for the numerical computation of incompressible nonlinear elasticity problems with large deformation gradient, and a damped Newton method is applied to solve the resulted discrete problem. The method is proved to be locking free and stable. The accuracy and efficiency of the method are illustrated by numerical experiments on some typical cavitation problems.


  • History

Published online: 2019-06

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