On the path independence and invariant of the J-integral for a slant crack and rigid-line inclusion using degenerate kernels and the dual BEM. (1st May 2021)

• Record Type: Journal Article
• Authors: Chen, Jeng-Tzong; Kao, Jeng-Hong; Kao, Shing-Kai; Huang, Yi-Ling; Chou, Yen-Ting
• Is Part Of: Engineering analysis with boundary elements. Volume 126(2021)
• Page Start: 169
• Page End: 180
• Publication Date: 2021-05-01
• Subjects: J-integral -- Anti-plane shear -- Tensor -- Crack -- Rigid-line inclusion; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2021.01.014
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: The J -integral and stress intensity factor (SIF) are two major parameters in linear elastic fracture mechanics (LEFM) for the fracture criterion. In this paper, we focus on the J -integral of the slant crack and the slant rigid-line inclusion under the remote anti-plane shear. By employing the degenerate kernel, the path independence of J -integral is analytically demonstrated by using the elliptic coordinates. The positive and negative J -integrals are also analytically derived and numerically implemented by using the dual BEM for the crack and the rigid-line inclusion, respectively. It is interesting to find that the J -integral is not an invariant by using different observer systems but is one component of the vector of the first order tensor. Transformation law of the J -integral with respect to different observers is analytically proved and numerically demonstrated. Finally, the tensor property of order one is examined.