Diffusion problems in bonded nonhomogeneous materials with an interface cut

Analysis of mode III crack perpendicular to the interface between two dissimilar strips

“…Delale and Erdogan [8] considered the problem of an interfacial crack located between two bonded half planes, one of which was homogeneous while the other was FGM so that the elastic properties were continuous at the interface. Similar works of an anti-plane shear counterpart were considered by Erdogan and Ozturk [9], Ozturk and Erdogan [10], and Shbeeb and Binienda [11]. The problem of a crack perpendicular to the interface was examined by Erdogan et al [12], Choi [13,14], Guo et al [15], and Yue et al [16].…”

A boundary element method for anisotropic inhomogeneous elasticity

“…However in recent years some progress has been made with the analytical solution of particular problems for a restricted class of inhomogeneous materials (see e.g. Ang and Clements, 1987;Dhaliwal and Singh, 1978;Erdogan and Ozturk, 1992;Gibson, 1967;Gibson et al, 1971;Varley and Seymour, 1988).…”

A mode III moving crack between a functionally graded coating and a homogeneous substrate

“…We consider three classes of functions satisfying this equation (see [Erdogan and Ozturk 1992;Wang et al 2003]):…”

“…(see [Erdogan and Ozturk 1992]), where the function F is to be determined. It follows from (2) and (3) that…”

“…Solutions to problems of moving cracks in FGMs are important since they can assist in the understanding of how FGMs can best be constructed to arrest running cracks. Some earlier investigations [Jin et al 2003;Bi et al 2003;Jin and Zhong 2002;Li and Weng 2002;Ma et al 2005] have considered moving cracks in FGMs with exponentially distributed material properties.…”