Asymptotic model of orthotropic highly inhomogeneous layered structure

An asymptotic model is proposed for analysis of anisotropic adhesive joints. Two layers of orthotropic material are connected by a thin and soft adhesive: effectively the layer of adhesive can be described as a surface of discontinuity for the longitudinal displacement. The asymptotic method enables us to derive differential equations that contain a description of the displacement jump across the adhesive. Numerical results are presented and comparison with a traditional strength-of-material approach is given.