Asymptotic theory for laminated piezoelectric circular cylindrical shells

An asymptotic theory is presented for laminated piezoelectric circular cylindrical shells under electromechanical loads. The three-dimensional coupled electromechanical problem reduces to a hierarchy of two-dimensional equations, which can be solved systematically. The proposed theory is illustrated by considering two example problems. Numerical results show excellent agreement with an available exact solution and also provide some suggestions in establishing new two-dimensional piezoelectric shell models.