Abstract
Taking the surface effect into account, anti-plane analysis of a reinforced (coated) nano-elliptical cavity or nano-crack embedded in an infinite magnetoelectroelastic (MEE) matrix is considered under remotely mechanical, electrical and magnetic loadings. Analytical treatment of the problem is presented based on the technique of conformal mapping and the method of complex variable function. Exact solutions of stress, electric displacement and magnetic induction in the reinforced layer and matrix are derived explicitly in closed form. Numerical examples are provided to show the influence of material properties of surface layer and reinforced layer, aspect ratio of elliptical hole and coatings, thickness of coatings and crack length on the field concentration around the nano-hole and field intensity factors near the nano-crack tip. The result indicated that the material properties of surface layer and reinforced layer have a great effect on the fields concentration around the nano-hole or nano-crack, which is helpful for optimum design of MEE nanocomposites in engineering practice.
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