Series expansions of rays in isotropic, non-homogeneous media

Effective Stiffness Tensor of Composite Media-i. Exact Series Expansions

The problem of determining exact expressions for the effective stiffness tensor macroscopically anisotropic, two-phase composite media of arbitrary microstructure in arbitrary space dimension d is considered. We depart from previous treatments by introducing an integral equation for the “cavity” strain field. This leads to new, exact series expansions for the effective stiffness tensor of macro...

Angular momentum non-conserving decays in isotropic media

Various processes that are forbidden in the vacuum due to angular momentum conservation can occur in a medium that is isotropic and does not carry any angular momentum. We illustrate this by considering explicitly two examples. The first one is the decay of a spin-0 particle into a photon and another spin-0 particle, using a model involving the Yukawa interactions of the scalar particles with a...

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Homogeneous and isotropic big rips?

We investigate the way big rips are approached in a fully inhomogeneous description of the space-time geometry. If the pressure and energy densities are connected by a (supernegative) barotropic index, the spatial gradients and the anisotropic expansion decay as the big rip is approached. This behaviour is contrasted with the usual big-bang singularities. A similar analysis is performed in the ...

Propagation of Love Waves in a Non-Homogeneous Elastic Media

The propagation of Love waves in a non-homogeneous layer of finite thickness lying over an isotropic semi-infinite medium is discussed in this study. It is assumed that density and rigidity are space dependent and obey the laws  (1+cosz), μ=μ0 (1+cosz), where ‘’is a scaling parameter. The method of variable separation, substitution method for solving the second order partial differen...