Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8050753 | Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería | 2017 | 10 Pages |
Abstract
This study presents a mixed finite element formulation able to address nearly-incompressible problems explicitly. This formulation is applied to elements with independent and equal interpolation of displacements and strains, stabilized by variational subscales (VMS). As a continuation of the study presented in reference [23], in which the strains sub-scale was introduced, in this work the effects of sub-scale displacements are included, in order to stabilize the pressure field. The formulation avoids the Ladyzhenskaya-Babuska-Brezzi (LBB) condition and only requires the solution of a diagonal system of equations. The main aspects of implementation are also discussed. Finally, numerical examples validate the behaviour of these elements compared with the irreductible formulation.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
N. Lafontaine, R. Rossi, M. Cervera, M. Chiumenti,