## What is/are Isotropic Half Space?

Isotropic Half Space - Although many researchers have found solutions to homogeneous anisotropic half-spaces, there is little research into anisotropic layered media.^{[1]}This paper presents an analytical solution to the mixed boundary value problem for a dynamic rigid rectangular plate on the surface of a layered transversely isotropic half-space.

^{[2]}, source geometries and distribution of material properties) that cannot be correctly represented by simple models of a pressure source embedded in an elastic, homogeneous, isotropic half-space.

^{[3]}A technique is proposed for solving a 3D problem of elasticity theory for a transversely isotropic half-space.

^{[4]}Based on an analytical solution for the current point source in an anisotropic half-space, we study the apparent resistivity and apparent chargeability of a transversely isotropic medium with vertical and horizontal axes symmetry, respectively.

^{[5]}The physical model of such objects worth considering is a homogeneous isotropic half-space that contains an infinitely long hollow cylinder, located parallel to its border.

^{[6]}The aim of this investigation is making mathematical model for the variation in laser pulse, rotational gravity, and magnetic fields on the generalized thermoelastic homogeneous isotropic half-space.

^{[7]}As an illustration, in the special case of an isotropic half-space with free isothermal boundary conditions, we recover the asymptotic results by Chadwick and Windle (1964).

^{[8]}The model soil on which this foundation is installed can be considered a homogeneous elastic isotropic half-space.

^{[9]}The dynamic stress-displacement relation for the soil part, here modeled as a homogeneous, transversely isotropic half-space, is obtained by numerical integration of that medium’s Green’s functions.

^{[10]}Explicit expressions are given for an isotropic half space.

^{[11]}Scattering of a lining circular tunnel embedded in anisotropic half space is investigated by means of complex function theory and multi polar coordinate system.

^{[12]}The results of our numerical experiments evince that despite the phase tensor ellipses, the real part of apparent resistivity tensor could discriminate between isotropic, azimuthally and generally anisotropic half spaces.

^{[13]}

## Transversely Isotropic Half Space

The nonaxisymmetric problem of heat conduction for a piecewise-homogeneous transversely isotropic space with two (thermally active and thermally insulated) internal inclusions located parallel to the plane of conjugation of two different transversely isotropic half spaces is reduced to a system of two two-dimensional singular integral equations.^{[1]}A transversely isotropic half space with surface effects subjected to axisymmetric loadings is investigated in terms of the Lekhnitskii formulism.

^{[2]}