Publication

Abstract : The present work concerns the size-dependent thermoelasticity with the dual-phase-lag model proposed by Chandrasekharaiah and Tzou. In the first part, we study the Galerkin-type representation of the solution of the field equations. Then, we find the fundamental solutions for the steady vibrations of the field equations. In the second part, we analyze the effect of the strain gradient length parameter on the propagation of plane harmonic waves with assigned frequency in an infinite space. We derive the exact dispersion relation solutions for the longitudinal plane waves. Several characterizations of the wave fields, like phase velocity, specific loss, and penetration depth, are obtained. Numerical results are presented to show the strain gradient length parameter effect on the wave field. The validity of numerical findings of different characterization works has been deduced, and a comparison is made with some earlier work. Some limiting cases are also noted and discussed.