Three-dimensional analytical solutions for coupled thermoelectroelastic response of multilayered cylindrical shells

Abstract

Analytical three-dimensional solutions are presented for the coupled thermoelectroelastic response of multilayered hybrid composite cylindrical shells. The shells consist of a combination of fiber-reinforced cross-ply and thermoelectroelastic layers. Both the thermoelectroelastic static response and its sensitivity coefficients are evaluated. The sensitivity coefficients measure the sensitivity of the response to variations in the different mechanical, thermal, and piezoelectric material properties of the shells. A linear constitutive model is used, and the material properties are assumed to be independent of the temperature and the electric field. A mixed formulation is used with the fundamental unknowns consisting of the three transverse stress components ; the three displacement components; the transverse component of the electric displacement field ; the electric potential ; the transverse heat-flux component ; and the temperature change. Each of the fundamental unknowns is expressed in terms of a double Fourier series in the surface coordinates. A state-space approach is used to generate the static response and to evaluate the sensitivity coefficients. The response and sensitivity coefficients of the shell are obtained by using a modified Frobenius method and a sublayer method. Numerical results are presented showing the effects of variation in the geometric parameters of the shells on the different response quantities and their sensitivity coefficients.