Dynamic response of a 1D semi-infinite piezoelectric rod with fractional order generalized thermoelasticity

Abstract

In this work, the problem of a 1D semi-infinite piezoelectric rod in the context of fractional generalized thermoelasticity is considered. The rod with one end fixed is subjected to a moving heat source. The physical quantities are analytically given by the eigenvalue approach with the Laplace transform and the distribution of displacement, temperature, and stress can be obtained through the numerical inverse of Laplace transform. Numerical results show that the fractional order parameter has a great effect on all physical quantities, and it is necessary to take the fractional order thermoelasticity into account when dealing with the thermoelastic problems of piezoelectric materials.