COUPLED FINITE ELEMENT FOR NON-LINEAR LAMINATED PIEZOELECTRIC COMPOSITE SHELLS WITH APPLICATIONS TO BUCKLING AND POSTBUCKLING BEHAVIOR

A theoretical framework for analyzing the coupled nonlinear response of shallow doubly curved adaptive piezocomposite shells, undergoing large displacements and rotations, is presented. The mechanics are formulated in cylindrical coordinates, and explicitly incorporate coupling between in-plane and flexural stiffness terms due to curvature, between the mechanical and electric field express by a mixedfield shear-layerwise shell theory. Based on the above formulation, a finite element methodology together with a Newton-Raphson based incremental-iterative technique are developed for solving the nonlinear response of piezocomposite shells under mechanical and electric loading. An eight-node isoparametric nonlinear shell element is also developed. Evaluation cases are presented for curved beams and cylindrical panels. Numerical results show the inherent capability of smart shell structures to induce large displacements, through piezoelectric actuators, and subsequently to snap from one equilibrium state to another. Finally the possibility to actively mitigate the mechanical snap-through buckling, through the use of piezoelectric actuators is quantified.

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