Electro-elastic displacement and stress analysis of the piezoelectric doubly curved shells resting on Winkler's foundation subjected to applied voltage

Abstract

In this article, electro-elastic analysis of the piezoelectric doubly curved shells is studied. First-order shear deformation theory is used for description of displacement field. The electro-elastic governing equations are derived based on principle of minimum potential energy. The piezoelectric doubly curved shell is subjected to uniform transverse load while is resting on Winkler's foundation. In addition, the piezoelectric doubly curved shell is subjected to applied electric potential. Influence of important parameters such as applied electric potential and Winkler's parameter is studied on the electro-elastic deformations and stress results of the problem.