Effective Elastic Properties of Laminated Composite Materials with Interfacial Defects

Abstract

The problem of effective elastic properties of stochastic laminated composite is solved. The imperfect interface conditions between the reinforcement and the matrix are assumed to have the form of porous interlayers between the matrix and reinforcement, which are considered as the third component. These layers are perfectly bonded to the matrix and reinforcement, which is expressed as continuity of displacements and surface stresses. The approach is based on the stochastic equations of elasticity for a structurally inhomogeneous material, where the tensor of elastic moduli is a random function of one coordinate and the problem of effective elastic properties has an exact solution. The dependence of the effective elastic properties on the volume fraction of the reinforcement and the porosity of the interlayers is studied.