Characteristics of wave propagation in thermoelastic medium

Abstract

The research work presented in this thesis deals with Characteristics of wave propagation in thermoelastic medium . Chapter 1 contains a basic introduction and literature review. Chapter 2 deals with the propagation of plane waves in isotropic, homogeneous rotating thermoelastic body with voids and diffusion. The dependence of wave speed and reflection coefficients on rotation-frequency ratio, thermo-void-diffusion parameters is illustrated graphically. In chapter 3, Plane and Rayleigh wave in a rotating incompressible thermoelastic half-space of transversely isotropic type is explored. An explicit secular equation of Rayleigh wave is derived and numerically solved to illustrate graphically the non-dimensional speed of Rayleigh wave against rotation, material parameters. In chapter 4, the plane wave propagation, reflection coefficients and energy ratio in an isotropic diffusive thermoelastic solid with microconcentration are explored. The effects of diffusion, microconcentration parameters and angle of incidence are observed on the wave speed, reflection coefficients and energy ratios. In chapter 5, the propagation characteristics of the Rayleigh-type surface wave in a thermally conducting mixture are explored in context of Lord and Shulman and Green and Lindsay theories. A numerical example of this model is considered to illustrate the effects of frequency and porosity on the wave speeds and attenuation coefficients. In chapter 6, the plane wave propagation in thermoelastic diffusive material based strain gradient thermoelasticity is studied. The effect of frequency, measure constant of diffusive effect, thermodiffusive effect, thermal relaxation time, diffusion relaxation time on phase velocities and attenuation coefficients are presented graphically. newline