Generalized Thermoelastic Responses of a Piezoelectric Rod Subjected to a Moving Heat Source

Abstract

Based on the Lord and Shulman generalized thermo-elastic theory, the dynamic thermal and elastic responses of a piezoelectric rod fixed at both ends and subjected to a moving heat source are investigated. The generalized piezoelectric-thermoelastic coupled governing equations are formulated. By means of Laplace transformation and numerical Laplace inversion the governing equations are solved. Numerical calculation for stress, displacement and temperature within the rod is carried out and displayed graphically. The effect of moving heat source speed on temperature, stress and temperature is studied. It is found from the distributions that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed.

The Thermoelastic Dynamic Response of a Rod Due to a Moving Heat Source under the Fractional-Order Thermoelasticity Theory

“…When α = 1.0 and τ 0 = 0, the model proposed in this paper can degenerate into the model described in reference [46]. We compared the computed results using the model proposed in this paper with the distribution plots of various physical variables when parameters τ = 0.05, t = 2, and v = 2 presented in reference [46]. In Figure 6, it can be observed that the computed results exhibit good agreement between the two, with minor discrepancies arising from differences in the numerical computation methods.…”

“…As a result, the rod's displacement, temperature, and stress all rise with time. , the model proposed in this paper can degenerate into the model described in reference [46]. We compared the computed results using the model proposed in this paper with the distribution plots of various physical variables when parameters = 0.05  , = 2 t , and = 2 v presented in reference [46].…”