Abstract

Abstract Based on the variation principle of the potential energy, the element-free Galerkin method is developed with radial basis function interpolations to solve Comeld™ joints two dimensional stress distributions. The aim of this work is to show the efficiency and accuracy of the meshless method to the multi-region problems comparing with finite element method using ABAQUS. Considering large number of protrusions of joint, a unit cell models with one protrusion has been proposed. Numerical modeling with correct boundary conditions of unit cell has been verified through different numerical algorithms. The accuracy and convergence of mesh free method are demonstrated with several examples.

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