A definition and evaluation procedure of generalized stress intensity factors at cracks and multi-material wedges

✍ Scribed by Chongmin Song; Francis Tin-Loi; Wei Gao

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 898 KB
• Volume: 77
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/j.engfracmech.2010.04.032

✦ Synopsis

This paper proposes a definition of generalized stress intensity factors that includes classical definitions for crack problems as special cases. Based on the semi-analytical solution obtained from the scaled boundary finite-element method, the singular stress field is expressed as a matrix power function with its dimension equal to the number of singular terms. Not only real and complex power singularities but also power-logarithmic singularities are represented in a unified expression without explicitly determining the type of singularity. The generalized stress intensity factors are evaluated directly from the scaled boundary finite-element solution for the singular stress field by following standard stress recovery procedures in the finite element method. The definition and evaluation procedure are valid to multi-material wedges composed of any number of isotropic and anisotropic materials. Numerical examples, including a cracked homogeneous plate, a bimaterial plate with an interfacial crack, a V-notched bimaterial plate and a crack terminating at a material interface, are analyzed. Features of this unified definition are discussed.