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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...
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...
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...
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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