Stress intensity factor analyses of three-dimensional interface cracks using tetrahedral finite elements

Authors:
Masaki Nagai;Toru Ikeda;Noriyuki Miyazaki
Affiliations:
Department of Mechanical Engineering and Science, Kyoto University, Kyoto, Japan;Department of Mechanical Engineering and Science, Kyoto University, Kyoto, Japan;Department of Mechanical Engineering and Science, Kyoto University, Kyoto, Japan
Venue:
Computational Mechanics
Year:
2013

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Abstract

A numerical method is proposed for evaluating the stress intensity factors of a three-dimensional bimaterial interfacial crack using tetrahedral finite elements. This technique is based on the M1-integral method and employs the moving least-squares approximation. Stress or strain in the M1-integral equation is automatically approximated from the nodal displacements obtained by the finite element analysis using the moving least-squares method. Therefore, the presented method needs no elemental information from the finite element analysis. In this study, stress intensity factor analyses of some typical three-dimensional interface crack problems using the tetrahedral finite elements are demonstrated.