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Stress recovery in geometrically nonlinear membranes by a Hu-Washizu finite element formulation
Authors:Alejandro Mota  John F Abel
Affiliation:(1) Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA;(2) School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14853, USA
Abstract:A class of mixed finite elements based on the Hu-Washizu functional is introduced as a strategy to reduce the spurious stress phenomena encountered with standard or displacement-based formulations for geometrically exact membranes. Selected examples compare the performance of this class of elements with that of the standard formulation and demonstrate that reduction of spurious stresses is obtained and that the stresses are more accurate than those optimally sampled in the standard formulation.
Keywords:Mixed variational  Finite deformation  Membrane  Geometrically nonlinear analysis  Stress recovery
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