| Author | O. Klaas, A. Maniatty, and M. S. Shephard |
|---|---|
| Title | A Stabilized Mixed Finite Element Method for Finite Elasticity |
| Year | 1998 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 180 |
| Pages | 65-79 |
| Abstract | A stabilized mixed finite element method for finite elasticity is presented. The method circumvents the fulfillment of the Ladyzenskaya-Babuska-Brezzi condition by adding mesh-dependent terms, which are functions of the residuals of the Euler-Lagrange equations, to the usual Galerkin method. The weak form and the linearized weak form are presented in terms of the reference and current configuration. Numerical experiments using a tetrahedral element with linear shape functions for the displacements and for the pressure show that the method successfully yields a stabilized element. |