UTILIZING OF ELLIPTIC DOMAIN OF INFLUENCE FORMULATION OF MESHFREE METHOD FOR SOLVING OF LEFM PROBLEMS

Abstract

This paper presents an efficient meshless method by using an elliptic domain rather than traditional isotropic domain of influence. The method involves an element free Galerkin formulation in conjunction with an anisotropic weight function. In the elliptic weight function, each node has three characteristic indications that are major radius, inner radius, and the direction of the local domain. Furthermore, the space that will be covered by the elliptic will be less than the area of the circle (isotropic) at the same main diameter. This means leaving many points of integration are not necessary. Therefore, the computational cost was decreased. For the first time, the elliptic domain is used in the problems of linear elastic fracture mechanism LEFM. MATLAB codes are used in obtaining the results of this research. The results are compared with those present in the literature.