%0 Journal Article
%A W. HUSSAIN,
%T THE EFFECT OF PURE SHEAR ON THE REFLECTION OF PLANE WAVES AT THE BOUNDARY OF AN ELASTIC HALF-SPACE
%J Iranian Journal of Mathematical Sciences and Informatics
%V 2
%N 2
%U http://ijmsi.ir/article-1-19-en.html
%R 10.7508/ijmsi.2007.02.001
%D 2007
%K ELASTIC WAVES, PURE SHEAR, REFLECTION, NON, LINEAR ELASTICITY,
%X 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 of reflection equal to the angle of incidence) although its amplitude may vanish at certain discrete angles but is independent of the state of deformation. Reflected wave amplitude is exactly equal to one in this case.For a second class of constitutive laws similar behavior is found for certain combinations of angle of incidence, material properties and deformations, but additional possibilities also arise. In particular, there may be two reflected waves instead of one reflected wave and a surface wave. Here surface wave amplitude depends upon the pure shear and the reflected wave amplitude is not equal to one in general.The dependence of the amplitudes of the reflected, and surface waves on the angle of incidence, the states of deformation is illustrated graphically.
%> http://ijmsi.ir/article-1-19-en.pdf
%P 1-16
%& 1
%!
%9 Research paper
%L A-10-1-19
%+
%G eng
%@ 1735-4463
%[ 2007