LOCKING-FREE HYBRIDIZED FEM FOR INCOMPRESSIBLE LINEAR ELASTICITY PROBLEM
Cristiane O. Faria1; Antônio J. B. Santos2; Abimael F. D. Loula3
1 UERJ - Universidade do Estado do Rio de Janeiro; 2 UFPB - Universidade Federal da Paraíba; 3 LNCC - Laboratório Nacional de Computação Científica
Baixar PDF doi:10.20906/CPS/CILAMCE2015-0497
Resumo
In this work a primal hybrid finite element method for the nearly incompressible linear elasticity problem is shown. This method consists of coupling local discontinuous Galerkin problems to the primal variable with a global continuous problem for the Lagrange multiplier, which is identified as the trace of the displacement field. Next, we propose an equivalent mixed formulation for stress tensor and displacement field, which allows us to treat incompressible elasticity problems completely. Numerical studies show that the method is locking free for both structured and unstructured mesh and the convergence rates is optimal as predicted in numerical analysis.
Palavras-chave: Linear elasticity; Discontinuous Galerkin; Hybridization