Stress intensity factor analysis of a three-dimensional interface crack between dissimilar anisotropic materials

• Published in: Engineering fracture mechanics 2007-11, Vol.74 (16), p.2481-2497
• Main Authors: Nagai, Masaki, Ikeda, Toru, Miyazaki, Noriyuki
• Format: Article
• Language: English
• Subjects: Anisotropic; Exact sciences and technology; Finite element method; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Interface crack; M-integral; Moving least-square method; Physics; Solid mechanics; Stress intensity factor; Structural and continuum mechanics
• ISSN: 0013-7944; 1873-7315
• DOI: 10.1016/j.engfracmech.2006.12.027

A new numerical method to calculate the stress intensity factors (SIFs) of a three-dimensional interface crack between dissimilar anisotropic materials was developed. In this study, the M-integral method was employed for mode separation of the SIFs. The moving least-square method was utilized to calculate the M-integral. Using the M-integral with the moving least-square method, SIFs can be automatically calculated with only the nodal displacements from the finite element method (FEM). Here, SIFs analyses of some typical three-dimensional problems are demonstrated. Excellent agreement was achieved between the numerical results obtained by the present method and the corresponding results proposed by other researchers. In addition, the SIFs of a single-edge crack, a through crack, and a semi-circular crack between two anisotropic solids in three-dimensional structures were analyzed.