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Inhomogeneous deformations and motions of elastic materials

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Abstract:

Unsteady motions are discussed within the context of the linearized theory of elasticity, the neo-Hookean theory of elasticity and the theory of interacting continua. In the last case, we discuss unsteady motions in an isotropic solid infused with a fluid, and a transversely isotropic solid infused with a fluid. We are able to show that the theory reduces to one that has a structure similar to that introduced by Biot.

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