Mech.Res.Comm. 23, 505-509, 1996
V.A. Buryachenko and F.G. Rammerstorfer
Institute of Lightweight Structures and Aerospace
TU Wien, Vienna, Austria
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.