Abstract
The problem of effective elastic properties of a matrix composite material with imperfect contact conditions between the matrix and quasi-spherical inclusions in the form of porous interfacial layers between the matrix and quasi-spherical inclusions, which are considered as the third component, is considered. It is based on the stochastic equations of elasticity for a multi-component material. An approach, where three-component material is reduced to two-component material by replacing the inclusions with interfacial layer by composite inclusions with equivalent or effective elastic properties is used. Composite inclusions are modeled using two-component matrix material, where inclusions and matrix have elastic moduli and volume fractions of corresponding real inclusions and interfacial layers. The dependence of bulk compression and shear efficient moduli on the volume fractions of inclusions and porosity of interfacial layers is investigated.
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