However, in reality most interfaces are not planar on both micro and macro scales. The purpose of this study is to investigate the interaction between elastic waves and a slightIy non-planar interface. The method of asymptotic analysis is used to derive elose form solutions for the problem of reflection and scattering of a time-harmonic SH-wave at a slightly, but otherwise arbitrarily, non-plan...

The radiation patterns of an elastic wave field generated by circular plane compressional and shear transducers are derived using the method of steepest descent. These patterns contain both effects of the elastic half space and the amplitude modulation due to the finite dimension of the piston source. Behaviors of radiation patterns of the generated compressional and shear waves are shown for l...

An investigation of reflection and transmission phenomena of plane longitudinal wave from a plane interface between two distinct micropolar porous elastic solid half-spaces in welded contact has been made. Using the method of potentials, the appropriate boundary conditions at the interface are solved to obtain the amplitudes of various reflected and transmitted waves. It has been noticed that t...

The plane strain deformation of an isotropic, homogeneous, poroelastic medium caused by an inclined line-load is studied using the Biot linearized theory for fluid saturated porous materials. The analytical expressions for the displacements and stresses in the medium are obtained by applying suitable boundary conditions. The solutions are obtained analytically for the limiting case of undrained...

Abstract We study the watermelon probabilities in uniform spanning forests on two-dimensional semi-infinite square lattice near either open or closed boundary to which can cannot be rooted, respectively. derive universal power laws describing asymptotic decay of these with distance between reference points growing infinity, as well their non-universal constant prefactors. The obtained exponents...