The present element is derived from a modified Reissner functional: standard interpolations for displacement and rotations are assumed whereas local stresses (rather than stress resultants and moments) are explicitly modelled. It is assumed that in plane shear stresses are not a priori symmetric. This choice allows to decouple the equilibrium equations, and involves introducing an in-plane infinitesimal rotation field, corresponding to drilling degrees of freedom. Out-of-plane shear stresses are then obtained such that equilibrium equations are exactly satisfied.
A four-noded hybrid-mixed element, using unsymmetric stresses, for linear analysis of plates
CAZZANI, ANTONIO MARIA;
2002-01-01
Abstract
The present element is derived from a modified Reissner functional: standard interpolations for displacement and rotations are assumed whereas local stresses (rather than stress resultants and moments) are explicitly modelled. It is assumed that in plane shear stresses are not a priori symmetric. This choice allows to decouple the equilibrium equations, and involves introducing an in-plane infinitesimal rotation field, corresponding to drilling degrees of freedom. Out-of-plane shear stresses are then obtained such that equilibrium equations are exactly satisfied.
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