An analytical solution to the laminated piezoelectric beam under the electric field

Based on the two-dimensional constitutive relationship of the piezoelastic material, this paper derived an analytic solution to the elastic beam with the piezoelectric layer under the electric field, presented the explicit ex pressions of its displacement and stress. It is helpful for understanding t he electrical and mechanical behavior of piezoelectric materials as actuato rs and the validation of the numerical methods such as FEM.