an analytical solution is presented for displacements and stresses of a three dimensional linear hyperelastic transversely isotropic layer bonded on the top of a transversely isotropic half-space subjected to an arbitrary, time-harmonic surface tangential force. the equations of equilibrium in terms of displacements are uncoupled by using a set of two potential functions introduced by eskandari...

We consider the spatially inhomogeneous and anisotropic reactiondiffusion equation ut = m(x) −1 div[m(x)ap(x,∇u)] + εf(u), involving a small parameter ε > 0 and a bistable nonlinear term whose stable equilibria are 0 and 1. We use a Finsler metric related to the anisotropic diffusion term and work in relative geometry. We prove a weak comparison principle and perform an analysis of both the gen...

Magnetoacoustic tomography with magnetic induction (MAT-MI) is a noninvasive imaging modality for generating electrical conductivity images of biological tissues with high spatial resolution. In this paper, we create a numerical model, including a permanent magnet, a coil, and a two-layer coaxial cylinder with anisotropic electrical conductivities, for the MAT-MI forward problem. We analyze the...

The present study aims to estimate the in vivo anisotropic conductivities of the White Matter (WM) tissues by means of Magnetic Resonance Electrical Impedance Tomography (MREIT) technique. The realistic anisotropic volume conductor model with different conductivity properties (scalp, skull, CSF, gray matter and WM) is constructed based on the Diffusion Tensor Magnetic Resonance Imaging (DT-MRI)...

The structure of, and anisotropic thermal motions in, the red semiconductor tetrahedral layer structure of HgI(2) have been studied with neutron powder diffraction as a function of temperature from 10 to 293 K. Average thermal displacement parameters U(eq) of the two atoms are comparable in size at 10 K, but U(eq)(Hg) increases considerably faster with temperature than U(eq)(I), the Hg-I bond b...