An Energy-Based Formulation of Equivalent Inhomogeneity for Interphase Models

Abstract eng:
A new concept of equivalent inhomogeneity is proposed to analyze the effective properties of composites with interphases using techniques devised for problems without interphases. The basic idea is to replace the inhomogeneity and the surrounding it interphase by a single equivalent inhomogeneity, combining properties of both, which is then perfectly boned to the matrix. The definition of the equivalent inhomogeneity proposed in this work is based on Hill’s energy equivalence principle. It is more general than definitions proposed in the past in that, conceptually and practically, it allows considering inhomogeneities of various shapes and various models of interphases. This is illustrated considering spherical inhomogeneity with two models of interphases, Gurtin-Murdoch material surface model and spring layer model. Comparisons with the best available solutions are made and other possible applications are discussed.

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