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Transversely isotropic solids; orthotropic solids; finite eigenstrains; geometric mechanics; anisotropic inclusions; nonlinear elasticity

Arash_Yavari's picture

Nonlinear Elastic Inclusions in Anisotropic Solids

In this paper we study the stress and deformation fields generated by nonlinear inclusions with finite eigenstrains in anisotropic solids. In particular, we consider finite eigenstrains in transversely isotropic spherical balls and orthotropic cylindrical bars made of both compressible and incompressible solids. We show that the stress field in a spherical inclusion with uniform pure dilatational eigenstrain in a spherical ball made of an incompressible transversely isotropic solid such that the material preferred direction is radial at any point is uniform and hydrostatic.

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