A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation

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 resid uals of the Euler-Lagrange equations, to the usual Galerkin method. The wea k form and the linearized weak form are presented in terms of the reference and current configuration. Numerical experiments using a tetrahedral eleme nt with linear shape functions for the displacements and for the pressure s how that the method successfully yields a stabilized element. (C) 1999 Else vier Science S.A. All rights reserved.