Three-field mixed finite element methods for nonlinear elasticity

09/08/2020 ∙ by Michael Neunteufel, et al. ∙ 0

In this paper, we extend the tangential-displacement normal-normal-stress continuous (TDNNS) method from [25] to nonlinear elasticity. By means of the Hu-Washizu principle, the distibutional derivatives of the displacement vector are lifted to a regular strain tensor. We introduce three different methods, where either the deformation gradient, the Cauchy-Green strain tensor, or both of them are used as independent variables. Within the linear sub-problems, all stress and strain variables can be locally eliminated leading to an equation system in displacement variables, only. The good performance and accuracy of the presented methods are demonstrated by means of several numerical examples (available via www.gitlab.com/mneunteufel/nonlinear_elasticity).

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 15

page 18

page 21

page 22

page 23

This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.