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In this paper we analyze the hyperbolicity of a non-homogeneous differential operator of constant coefficients, which describes a class of inhomogeneous anisotropic media. This class of inhomogeneous media requires constraints on the types of material profiles. We identify two subclasses, Case A...
We consider a composite material containing an elastic elliptic inhomogeneity which is assumed to be perfectly bonded to a surrounding matrix of similar elastic material. In fact, both the inhomogeneity and the matrix belong to the same class of compressible hyperelastic materials of...
Rivlin's observation that elastic stress response that does not derive from a strain energy (Cauchy elasticity) admits negative work in closed cycles of deformations is demonstrated for specific isotropic stress responses and for a simple closed cycle of deformation. It is concluded that elastic...
For a crystalline material, Poisson's ratio depends upon two orthogonal directions, one corresponding to the applied uniaxial stress and another for the resulting transverse strain. Interest in directions that yield a negative value leads to a consideration of extreme values and associated...
Kovetz' formulation ( Electromagnetic Theory, Oxford University Press, 2000) of the system consisting of the linear momentum balance, moment-of-momentum balance, energy balance and Clausius— Duhem inequality for electromagnetic media is derived from basic ideas in continuum mechanics and...
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