EFFECTIVE PROPERTIES OF PERIODIC LAMINATED CENTRO-SYMMETRIC MICROPOLAR COMPOSITES WITH NON-UNIFORM IMPERFECT CONTACT CONDITIONS

Abstract

The two-scale asymptotic homogenization method (AHM) is implemented for periodic laminated micropolar composites with centro-symmetric constituents and non-uniform imperfect interface contact conditions, i.e., tractions and coupled stress are continuous but displacements and microrotations are discontinuous across the imperfect interface. The jumps in displacement and microrotation components are assumed to be proportional, in terms of a partition of different spring-factor-type interface parameters, to their respective interface traction and coupled stress components. From AHM, the solutions for the displacement and microrotation fields are proposed as series expansions depending on a local (microscopic) variable and a global (macroscopic) variable. The local problems are solved, and the effective properties are found as a function of the constituent material properties, the imperfection parameters, and the volume fractions of the phases. Numerical results are shown and discussed for a bi-laminated micropolar composite with several interface imperfection partitions and different values of imperfection parameters. Limit cases are analyzed, such as, perfect, and uniform imperfect contact conditions. The effect of the imperfection type on the effective elastic behavior is shown.