Modeling of smart structures by meshless local integral equation method

Abstract

A meshless method based on the local Petrov-Galerkin approach is proposed for crack analysis in two-dimensional (2-D) piezoelectric and magneto-electric-elastic solids with continuously varying material properties. Stationary and transient dynamic problems are considered in this paper. The local weak formulation is employed on circular subdomains where surrounding nodes randomly spread over the analyzed domain. The test functions are taken as unit step functions in derivation of the local integral equations (LIEs). The moving least-squares (MLS) method is adopted for the approximation of the physical quantities in the LIEs.