A domain-independent interaction integral method for evaluating the dynamic stress intensity factors of an interface crack in nonhomogeneous materials. (1st December 2016)

• Record Type: Journal Article
• Authors: Huang, Kai; Guo, Licheng; Yu, Hongjun; Jia, Pengfei; Kitamura, Takayuki
• Is Part Of: International journal of solids and structures. Volume 100/101(2016)
• Page Start: 547
• Page End: 557
• Publication Date: 2016-12-01
• Subjects: Domain-independent interaction integral -- Dynamic stress intensity factors -- Interface crack -- Complicated interfaces; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2016.09.027
• Languages: English
• ISSNs: 0020-7683

Abstract

Highlights: A new DII-integral for evaluating the DSIFs of an interface crack is proposed. The domain-independence of the DII-integral is proved rigorously and numerically. The present DII-integral is available for the cases with complicated interfaces. The influence of material nonhomogeneity on DSIFs is investigated. Abstract: We propose a new domain-independent interaction integral (DII-integral), which can evaluate the dynamic stress intensity factors (DSIFs) of an interface crack in nonhomogeneous materials under dynamic loading conditions. The DII-integral is rigorously proved to be domain-independent of arbitrary interfaces emerged in the integral domain. Since no material property derivative is involved in the DII-integral formulation, it can be applied to the interface crack problems with both differentiable and non-differentiable material properties. By using the extended finite element method (XFEM) combined with the DII-integral, several benchmark problems are investigated to examine the validity of the proposed DII-integral and the influence of material nonhomogeneity on the DSIFs. The results show that the present DII-integral is effective and efficient to evaluate the DSIFs of an interface crack in nonhomogeneous materials.