Dual-primal Iterative Substructuring for Almost Incompressible Elasticity

Abstract

There exist a large number of publications devoted to the construction and analysis of finite element approximations for problems in solid mechanics, in which it is necessary to circumvent volumetric locking. Of special interest are nearly incompressible materials where standard low order finite element discretizations do not ensure uniform convergence in the incompressible limit. Methods associated with the enrichment or enhancement of the strain or stress field by the addition of carefully chosen basis functions have proved to be highly effective and popular. The key work dealing with enhanced assumed strain formulations is that of [14].