Dual analysis by stabilized displacement and equilibrium mesh-free methods

Abstract

In this paper, stabilized displacement and equilibrium meshfree models are presented. A moving least squares technique is used to approximate displacement and stress fields, ensuring that the resulting fields are smooth over the entire problem domain. There is therefore no need to enforce continuity conditions at interfaces within the problem domain, which would be a key part of a comparable finite element formulation. A stabilized conforming nodal integration scheme is applied to both displacement and equilibrium models to eliminate numerical instability problems. A penalty technique is used in conjunction with collocation technique to enforce boundary conditions