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FROM:
D. Marinkovic, H. Koppe and U. Gabbert (Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany),
“Degenerated shell element for geometrically nonlinear analysis of thin-walled piezoelectricactive structures”, Smart Materials and Structures, Vol. 17, No. 1, January 2008, DOI: 10.1088/0964-1726/17/01/015030
ABSTRACT: Active piezoelectric thin-walled structures, especially those with a notably higher membrane than bending stiffness, are susceptible to large rotations and transverse deflections. Recent investigations conducted by a number of researchers have shown that the predicted behavior of piezoelectric structures can be significantly influenced by the assumption of large displacements and rotations of the structure, thus demanding a geometrically nonlinear formulation in order to investigate it. This paper offers a degenerated shell element and a simplified formulation that relies on small incremental steps for the geometrically nonlinear analysis of piezoelectric composite structures. A set of purely mechanical static cases is followed by a set of piezoelectric coupled static cases, both demonstrating the applicability of the proposed formulation.
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