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Indexed by:Journal Papers

Date of Publication:2019-09-01

Journal:ENGINEERING FRACTURE MECHANICS

Included Journals:EI、SCIE

Volume:218

ISSN No.:0013-7944

Key Words:Free element method; Weighted residual technique; Mesh free method; Fracture mechanics

Abstract:In this paper, a new weak-form method (Galerkin free element method - GFrEM) is developed and implemented for solving general mechanical and fracture problems. This method combines the advantages of the finite element method and meshfree method in the aspects of setting up shape functions and generating computational meshes through node by node. The distinct feature of GFrEM is that only one collocation element is needed for each collocation node and the collocation element can be freely formed by the nodes surrounding the collocation node. In order to get the weak-form system equations, the weighted residual technique, with shape function as weight function, is used in the collocation elements. Numerical experiments are carried out to determine displacements, stresses and the stress-intensity factors in two-dimensional cracked structures, to verify the present method.