An analytical expression for the J(2)-integral of an interfacial crack in orthotropic bimaterials

作者：Tafreshi A^*

来源：Fatigue and Fracture of Engineering Materials and Structures, 2017, 40(9): 1443-1458.

DOI：10.1111/ffe.12587

• bimaterial interface crack
• debonded dissimilar anisotropic materials
• J(k)-integral
• mixed mode fracture
• orthotropic materials
• stress intensity factor

This paper presents a new analytical expression relating the J(2)-integral and stress intensity factors (SIF) in an in-plane traction-free crack between two orthotropic elastic solids using the complex function method. The singular oscillatory near tip field of a bimaterial interfacial crack is usually characterized by a pair of SIFs. In linear elastic interfacial fracture mechanics, the majority of numerical and experimental methods rely on the analytical equations relating J(k)-integrals and SIFs. Although an analytical equation relating J(1)-integral or strain energy release rate and SIFs is available, a similar relation for J(2)-integral in debonded anisotropic solids is non-existent. Using this new analytical expression, in conjunction with the values of J(k), the SIFs can be computed without the need for an auxiliary relation. An example with known analytical solutions for SIFs is presented to show the variation of the J(2)-integral near the crack tip of a bimaterial orthotropic plate. Different bimaterial combinations are considered, and the effect of material mismatch on J(k) is demonstrated.

• 出版日期2017-9