Elastodynamics of functionally graded laminates with interlaminar microdefects

Functionally graded materials are composites whose effective characteristics are smooth functions of the space variables. We propose a mathematical mode of these materials and apply it to the analysis of the influence of interface microdefects on the characteristics of free oscillations of the composite. The distribution of microdefects is described by specifying the function of mean density per unit area of each layer. Although the proposed model belongs to the linear theory of elasticity, the deduced key equations are nonlinear due to the presence of a free boundary separating the regions with open and closed microdefects.