Multiple Scattering Approximation of Anti-plane Elastic Waves in Infinite and Half-Space Domains with Distributed Inclusions

THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE

This paper is concerned with the effect of pure shear on the reflection from a plane boundary of infinitesimal plane waves propagating in a half-space of incompressible isotropic elastic material. For a special class of constitutive laws it is shown that an incident plane harmonic wave propagating in the considered plane gives rise to a surface wave in addition to a reflected wave (with angle o...

Uniform stress fields inside multiple inclusions in an elastic infinite plane under plane deformation.

Multiple elastic inclusions with uniform internal stress fields in an infinite elastic matrix are constructed under given uniform remote in-plane loadings. The method is based on the sufficient and necessary condition imposed on the boundary value of a holomorphic function that guarantees the existence of the holomorphic function in a multiply connected region. The unknown shape of each of the ...

Scattering of Elastic Waves by Inclusions with Thin Interface Layers

Elastic waves are scattered by an elastic inclusion. The interface between the inclusion and the surrounding material is imperfect: the discontinuity in the displacement (traction) vector across the interface is taken to be proportional to the average of the traction (displacement) vectors on the two sides of the interface. Uniqueness theorems are obtained, and boundary integral equations over ...

Multiple cracks in an elastic half-plane subjected to thermo-mechanical loading

An analytical solution is presented for the thermoelastic problem of a half-plane with several cracks under thermo mechanical loading using distributed dislocation technique. The uncoupled quasi-static linear thermoelasticity theory is adopted in which the change in temperature, if any, due to deformations is neglected. The stress field in a half-plane containing thermoelastic dislocation is ob...

Scattering of plane elastic waves by three-dimensional diffraction gratings