Within the framework of linearized statement problem elasticity theory, we study stress-strain state a prestrained thick plate modeled by prestressed half space in case its smooth contact interaction with rigid axisymmetric parabolic punch. The dual integral equations this are solved representing required functions form partial sums series Bessel unknown coefficients. For their determination, d...

BEl-rt's reciprocal theorem is used to determine the normal displacements due to a normal point force at the plane surface o fa generally-anisotropic half-space or a transversely-isotropic general elastic foundation, using a state of plane sinusoidal loading as auxiliary solution. The method is also extended to give a dual integral equation formulation of the axisymmetric contact problem for an...

We study a class of problems involving the motion of a linear elastic body in frictional contact with a linear elastic half space. The dynamic effects considered are the inertial properties of the body regarded as rigid. We study only those regimes of contact interaction for which the slip velocity with the body taken as absolutely rigid and the time rate of change of the elastic displacements ...

This paper investigates the quasi-static plane deformation of an isotropic thermoelastic half-space due to buried seismic sources and heat source. Governing equations of thermo-elasticity are solved to obtain solutions for seismic sources in a thermoelastic half-space. The general solutions are acquired with the aid of Laplace and Fourier transforms and with the use of boundary conditions. The ...

we shall give a lower estimate of harmonic‎ ‎functions of order greater than one in a half space‎, ‎which‎ ‎generalize the result obtained by b‎. ‎ya‎. ‎levin in a half plane‎.

The report presents the development of the time-boundary element methodology and a description of the related software based on a stepped method of numerical inversion of the integral Laplace transform in combination with a family of Runge-Kutta methods for analyzing 3-D mixed initial boundary-value problems of the dynamics of inhomogeneous elastic and poro-elastic bodies. The results of the nu...

We study numerically the failure of an interface joining two elastic materials under load using a fiber bundle model connected to an elastic half space. We find that the breakdown process follows the equal load sharing fiber bundle model without any detectable spatial correlations between the positions of the failing fibers until localization sets in. Depending on the elastic constant describin...