Thermo-mechanical analysis of laminated cylindrical shell with viscoelastic bonding interlayers

Abstract

This work proposes analytical solutions to present coupling thermo-mechanical analysis of laminated cylindrical shells bonded by viscoelastic interlayers, considering the temperature effects on both thermal expansion difference of adjacent layers and temperature-dependent viscoelastic property of bonding interlayer. In the analytical model, according to the heat transport theory, the solutions of non-uniform temperature fields in the laminated cylindrical shells are solved by means of the transfer matrix method. Then, based on the thermo-elasticity theory as well as the viscoelasticity theory, the governing equations for the laminated cylindrical shell are established. The standard linear solid model is employed to simulate the temperature-dependent viscoelastic property of the interlayer, in which the viscoelastic constants are determined according to the time–temperature equivalence principle. At last, the analytical solutions of time-dependent stresses and displacements are determined by the Laplace transform and the Fourier series expansion. The results indicate the present solutions are consistent with the finite element solutions. The influences of temperature, material and geometric parameters on the long-term bending behavior of the laminated cylindrical shell are studied.