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A finite element formulation based on the Cosserat point theory
Authors:Eiris F. I. Boerner  Peter Wriggers
Affiliation:IBNM, University of Hannover, Appelstrasse 9A, 30167 Hannover, Germany
Abstract:The theory of Cosserat points is the basis of a 3D finite element formulation for large deformations in structural mechanics, that recently was presented by [1]. First investigations [2] have revealed, that this formulation is free of showing undesired locking or hourglassing-phenomena. It additionally shows excellent behaviour for any type of incompressible material, for large deformations and sensitive structures such as plates or shells. The formulation initially was restricted to a Neo-Hookean material. This work will present the extension to a general elastic Ogden material and the verification of the chosen model. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:
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