Abstract

Based on the incremental complementary energy principle, a hybrid stress model is developed for the geometrical nonlinear analysis of plates and shells. According to the compatibility of interior and boundary displacements for an element, and the equilibrium of stresses at the interior of the element, an inconsistent model which partially satisfies the stress equilibrium equation is utilized in the present paper, and a three node, 15 degree of freedom, triangular shallow shell element is established. Formulas are derived in the updated Lagrangian coordinate system. Numerical examples demonstrate that the assumed hybrid stress model is very efficient.

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