UDC 536.21

Rajneesh Kumar and Rajeev Kumar

ANALYSIS OF WAVE MOTION AT THE BOUNDARY SURFACE OF ORTHOTROPIC THERMOELASTIC MATERIAL WITH VOIDS AND ISOTROPIC ELASTIC HALF-SPACE
The purpose of this research is to study the effect of voids on the surface wave propagation in a layer of orthotropic thermoelastic material with voids lying over an isotropic elastic half-space. The frequency equation is derived on the basis of the developed mathematical model under the boundary conditions for welded and smooth contacts. The dispersion curves giving the phase velocity and attenuation coefficient versus the wave number enable one to reveal the effects of voids and anisotropy for welded contact boundary conditions. The specific loss and amplitudes of the volume fraction, normal stress, and temperature change for welded contact are obtained and presented graphically for a particular model showing the voids and anisotropy effects. Some special cases are also deduced. Keywords: wave motion; orthotropic material; voids; isotropic elastic half-space; phase velocity; attenuation coefficient. Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India; email: rajneesh_kuk@rediffmail.com. Original article submitted June 26, 2009; revision submitted June 7, 2010.