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Thermally Induced Piezothermoelastic Fields of a Smart Sandwich Cylindrical Structure with a Functionally Graded Interlayer

An effective approach is developed to analyze the piezothermoelastic behavior of a smart sandwich cylindrical structure which is made of a functionally graded (FG) elastic interlayer and two pyroelectric layers at its surfaces. The pyroelectric layers are homogeneous and the material properties of the elastic interlayer are assumed to be the functions of radius. Laminate model is employed to approximate the FG interlayer. The temperature field is obtained by means of the initial parameter method. The solutions of the elastic and electric fields in the FG elastic interlayer are developed by means of the state space method and the Cayley-Hamilton principle. Numerical results show that the material's nonhomogeneity and the stacking sequence play important roles on the piezothermoelastic behavior of a smart sandwich cylindrical structure when it is served in thermal environment.