No abstract

We give a generalization of Eshelby integral representations for the gradient theory of elasticity. Gradient theory of the interphase layer and a particular gradient medium model whose properties are described by the harmonic equation are considered. For these models a generalization of the principle of Eshelby and integral representations (formulas) of Eshelby are given. Examples of application of the generalized Eshelby principle for determining the effective properties of composites with cohesion size effects and surface effects.