Hypersingular integral and integro-differential micromechanical models for an imperfect interface between a thin orthotropic layer and an orthotropic half-space under inplane elastostatic deformations

Micromechanical models are proposed here for estimating the effective stiffness coefficients of a micro-cracked interface between a thin orthotropic layer and an orthotropic half-space under inplane elastostatic deformations. The micromechanical models are formulated and numerically solved in terms of hypersingular integral and integro-differential equations. Specific case studies involving particular orthotropic materials and isotropic materials are conducted to gain insights into the macroscopic behaviors of the interface.