The transient coupled thermo-piezoelectric response of a functionally graded piezoelectric hollow cylinder to dynamic loadings

Abstract

The transient, coupled thermo-piezoelectric response of a functionally graded, radially polarized hollow cylinder under dynamic axisymmetric loadings was investigated in the present paper. To take into account the simultaneous coupling of displacement, temperature and electric fields as well as non-Fourier heat conduction effect, the Chandrasekharaiah theory of generalized thermo-piezoelectricity was employed. Except thermal relaxation time which was taken to be constant, profiles of all other material properties follow a volume-fraction-based rule with different non-homogeneity indices for each property. To solve three governing coupled partial differential equations, the Galerkin finite-element method was used in the Laplace domain. To restore time, a numerical scheme was employed for the Laplace inversion. When the cylinder was exposed to a highly transient thermal loading, effects of the non-homogeneity index and thermal relaxation time on the results were investigated.