Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

A nonlinear piezoelectric mixed solid shell finite element formulation

S. Klinkel*, W. Wagner
Institut für Baustatik, Universität Karlsruhe, Kaiserstr. 12, D-76131 Karlsruhe, Germany

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This paper is concerned with a piezoelectric solid shell finite element formulation. A geometrically non-linear theory allows large deformations and includes stability problems. The finite element formulation is based on a variational principle including six independent fields: displacements, electric potential, strains, electric field, mechanical stresses and dielectric displacements. The element has 8 nodes; the nodal degrees of freedom are displacements and the electric potential. To obtain correct results in bending-dominated situations a linear distribution through the thickness of the independent electric field is assumed. The presented finite shell element is able to model arbitrary curved shell structures and incorporates a 3D-material law. As numerical example a piezoelectric buckling problem is presented.

Keywords:  Solid shell finite element; Smart structures; Piezoelectricity; Electro-elasticity

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