UDC 536.21

Rajneesh Kumar and Vijay Chawla

WAVE PROPAGATION AT THE IMPERFECT BOUNDARY BETWEEN TRANSVERSELY ISOTROPIC THERMODIFFUSIVE ELASTIC LAYER AND HALF-SPACE
The aim of the present investigation is to study the surface wave propagation at imperfect boundary between two transversely isotropic thermodiffusive elastic objects: a layer of finite thickness and a half-space, in the context of the Green-Lindsay theory. The secular equation for surface waves in a compact form is derived after the mathematical model has been developed. The phase velocity and attenuation coefficient are obtained for stiffness (normal and tangential), thermal conductance, and in the case of a welded contact. The dispersion curves for these quantities are presented to depict the effect of stiffness and thermal relaxation times. The amplitudes of displacements, temperature, and concentration at the free plane boundary, as well as specific loss of energy are obtained and presented graphically. The special cases are considered and the results are compared with the known ones. Keywords: transversely isotropic layer, generalized thermoelastic diffusion, stiffness, phase velocity, attenuation coefficient, amplitude. Department of Mathematics, Kurukshetra University, Kurukshetra-136119, Haryana, India; email: rajneesh_kuk@rediffmail.com. Original article submitted April 29, 2009; revision submitted November 11, 2010.