On the stabilization of stress-point integration in the element free galerkin method

Abstract

Stabilized stress-point integration schemes based on Least-Squares Stabilization (LSS), Taylor series Expansion Based Stabilization (TEBS) and Finite Increment Gradient (FIG) are compared for linear elastostaticity problems and some relations between them are described. Particular emphasis is placed on stress-point integration procedures with stabilization. The convergence and stability properties of stabilized methods in the framework of the element free Galerkin (EFG) method with stress-point integration are studied by numerical examples. It is shown that stabilized stress-point integration consumes much less computational time than full integration and exhibits higher accuracy and much better convergence and stability than unstabilized stress-point integration and stabilized nodal integration.