Mech.Res.Comm. 23, 505-509, 1996

THINLY COATED INCLUSION WITH STRESS FREE STRAINS IN AN ELASTIC MEDIUM

V.A. Buryachenko and F.G. Rammerstorfer

Institute of Lightweight Structures and Aerospace Engineering,
TU Wien, Vienna, Austria


Abstract - More detailed considerations of the mechanical behavior of composite materials requires the analysis of the interface between the reinforcement and the matrix. We consider a linearly elastic medium with stress free strains, which consists of a homogeneous matrix containing a coated ellipsoidal inclusion with inhomogeneous (along inclusion surface) mismatch properties of the coating, in contrast to most of the related papers considering homogeneous thermo-elastic properties for the coating. The inhomogeneity of mismatch properties in the coating is a typical situation due to both the production of the coated inclusions and thermoplastic deformation of the matrix near the inclusion. The micromechanical approach is based on the Green function technique as well as on the interfacial Hill operators. The thin-layer hypothesis and the assumption of a homogeneous stress state in the core are used. The exactness of the accepted assumptions is checked for particular examples by comparisons with finite element analysis results. The obtained analytical solution can be used for the generalization of numerous models of plasticity of composites based on the assumption of homogeneity of plastic strains in both the coating or the matrix.


(hjb,980219)