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A double-coated epitrochoidal elastic inhomogeneity neutral to a uniform hydrostatic stress field
1School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai, China.
Abstract:
We study the design of a double-coated neutral epitrochoidal elastic inhomogeneity that does not disturb the prescribed uniform hydrostatic stress field in the surrounding elastic matrix. The two coatings have a common shear modulus but distinct Poisson's ratios. In order to achieve the neutrality condition in the matrix, the plane-strain bulk modulus of the matrix and the Poisson's ratio of the inner coating can be uniquely determined for given elastic properties of the outer coating and the inhomogeneity and given geometry of the composite by iteratively solving two coupled non-linear equations.
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