UDC 536.21

Rupender Bijarnia and Baljeet Singh

PROPAGATION OF PLANE WAVES IN AN ANISOTROPIC
GENERALIZED THERMOELASTIC SOLID WITH DIFFUSION

The paper is concerned with the propagation of plane waves 
in a transversely isotropic generalized thermoelastic solid half-space 
with diffusion. The governing equations are modified in context of 
the Lord and Shulman theory of generalized thermoelasticity and are 
solved to show the existence of four plane waves in the xz plane. 
Reflection of these plane waves from a thermally insulated free surface 
is studied, and a system of four nonhomogeneous equations for the 
reflection coefficients is obtained. For numerical computations of 
the speed and reflection coefficients, a particular material is modeled 
as a transversely isotropic generalized thermoelastic solid half-space. 
The speeds of plane waves are calculated against the angle of propagation 
to reveal the effects of anisotropy and diffusion. The reflection 
coefficients of various reflected waves are also obtained that demonstrate 
the effect of diffusion parameters.

Keywords: anisotropy, generalized thermoelasticity, 
diffusion, plane waves, reflection, reflection coefficients.

Post Graduate Government College, Sector-11, Chandigarh, India; 
email: bsinghgc11@gmail.com. Original article submitted March 15, 
2011; revision submitted August 1, 2011.