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A Variational Meshless Method for Mixed-Mode Fracture Problems

Journal Key Engineering Materials (Volumes 452 - 453)
Volume Advances in Fracture and Damage Mechanics IX
Edited by A.Saimoto and M.H Aliabadi
Pages 57-60
DOI 10.4028/www.scientific.net/KEM.452-453.57
Citation P.H. Wen et al., 2010, Key Engineering Materials, 452-453, 57
Online since November, 2010
Authors P.H. Wen, M.H. Aliabadi
Keywords Element-Free Method, Mixed Mode Fracture, Moving Least Square Method, Radial Basis Function Interpolation, Stress Intensity Factor (SIF), Variational Technique
Abstract

A variational technique has been developed to evaluate the static stress intensity factors of mixed mode problems with mesh free method in this paper. The stiffness is evaluated by regular domain integrals and shape functions are determined by both radial basis function (RBF) interpolation and moving least-square (MLS) method. The stress intensity factors are obtained by two boundary integrals with variation of crack length. The applications of proposed technique to two-dimensional fracture mechanics have been presented with several examples. Comparisons are made with benchmark solutions.

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