An energy conserving numerical scheme for the dynamics of hyperelastic rods

  • A numerical method for special Cosserat rods based on Antman’s description [1] is developed for hyperelastic materials and potential forces. This method preserves the relevant properties of the underlying PDE system, namely the orthonormality of the directors and the conservation of the energy.

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Author:Th. Fütterer, A. Klar, R. Wegener
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (154)
Document Type:Report
Language of publication:English
Year of Completion:2009
Year of Publication:2009
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Date of the Publication (Server):2009/03/25
Tag:Cosserat rod; energy conservation; finite differences; hyperealstic
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011