Viscothermoelastic waves - a statistical study

Abstract

A statistical analysis is presented to investigate the influence of temperature, rotation, viscosity and thermal relaxation time on the propagation characteristics of different waves in an elastic medium. The solution of complex secular equation governing the characteristics of the bulk waves in an infinite homogenous isotropic, Kelvin-Voigt type generalized viscothermoelastic rotating media is carried out by employing both direct and perturbation methods. The analytical developments are supported with numerical illustrations for copper material in respect of phase velocities, attenuation coefficients and specific loss factor of various possible waves. The computer simulated results have been presented graphically with respect to Kibel number. In order to explore and analyze the effects of viscosity and temperature on the elastic waves, the Karl-Pearson correlation coefficient has been used. The student t-test is used to judge and decide the suitability of Cardano’s method vis-à-vis perturbation one for computing different characteristics. The present study may be useful in geophysics and gyroscopic sensor applications and industry.