به كارگيري روش گالركين بدون المان در فرمول بندي مسايل مكانيك شكست

APPLICATION OF MESHLESS GALERMN METHOD IN FORMULATING FRACTURE MECHANIC PROBLEMS

The meshless Galerkin method is a numerical method similar to finite element which depends on variational form of field governing system of equations. In Element Free Galerkin Method (EFGM), there is no need to discretize the domain into finite elements and working with number of points known as nodes is sufficiant. It can be said that this method has come into the trial in less than a decade, having main applications in the problems dealing with singularity. This is the case in most problems in the fracture mechanic field and more specifically in the crack tip analysis. In this article, primarily some of the efforts regurding the introduction of this method during the last six years has been reviewed and then the detailed steps of formulation scheme, its accuracy, points of strength and weakness, and moreover, some of its applications are discussed.