Plane waves reflection in micropolar transversely isotropic generalized thermoelastic half-space
1 Department of Mathematics, Kurukshetra University, 136 119, Haryana, India
2 Department of Mathematics, National Institute of Technology, 136 119, Haryana, India
Mathematical Sciences 2012, 6:6 doi:10.1186/2251-7456-6-6Published: 29 May 2012
The purpose of this paper is to study the reflection of plane periodic wave’s incident on the surface of generalized thermoelastic micropolar transversely isotropic medium.
Plane wave propagation is studied to calculate complex velocities of the four waves from the complex roots of a quartic equation. The complex velocity of the attenuated wave in the medium is resolved to calculate its propagation (phase) velocity and quality factor of attenuation. Reflection of waves at the free surface of micropolar transversely isotropic generalized thermoelastic elastic half-space has been discussed.
Numerical examples calculate the amplitude ratios of reflected waves at the free surface of the micropolar transversely isotropic generalized thermoelastic elastic half-space to evince the effects of anisotropy and theories of generalized thermoelasticity.
It is concluded from the present study that there are four quasi wave propagates in of generalized thermoelastic micropolar transversely isotropic medium viz., quasi-longitudinal displacement (qLD) wave, quasi-transverse displacement (qTD) wave, quasi- transverse microrotational (qTM) wave and quasi thermal (qT) waves.