An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods

An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods

A numerical method for special Cosserat rods based on Antman's description Antman, 2005 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 t...

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Main Authors: Thorsten Fütterer, Axel Klar, Raimund Wegener
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2012/718308
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spelling doaj-ef8fd86cd1b34f61b74c389b3bdb795a2020-11-24T22:12:28ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/718308718308An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic RodsThorsten Fütterer0Axel Klar1Raimund Wegener2Fraunhofer Institut für Techno- und Wirtschaftsmathematk, Fraunhofer-Platz 1, 67663 Kaiserslautern, GermanyFachbereich Mathematik, Technische Universität Kaiserslautern, 67653 Kaiserslautern, GermanyFraunhofer Institut für Techno- und Wirtschaftsmathematk, Fraunhofer-Platz 1, 67663 Kaiserslautern, GermanyA numerical method for special Cosserat rods based on Antman's description Antman, 2005 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.http://dx.doi.org/10.1155/2012/718308
collection DOAJ
language English
format Article
sources DOAJ
author Thorsten Fütterer
Axel Klar
Raimund Wegener
spellingShingle Thorsten Fütterer
Axel Klar
Raimund Wegener
An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
International Journal of Differential Equations
author_facet Thorsten Fütterer
Axel Klar
Raimund Wegener
author_sort Thorsten Fütterer
title An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
title_short An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
title_full An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
title_fullStr An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
title_full_unstemmed An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
title_sort energy conserving numerical scheme for the dynamics of hyperelastic rods
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2012-01-01
description A numerical method for special Cosserat rods based on Antman's description Antman, 2005 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.
url http://dx.doi.org/10.1155/2012/718308
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AT raimundwegener anenergyconservingnumericalschemeforthedynamicsofhyperelasticrods
AT thorstenfutterer energyconservingnumericalschemeforthedynamicsofhyperelasticrods
AT axelklar energyconservingnumericalschemeforthedynamicsofhyperelasticrods
AT raimundwegener energyconservingnumericalschemeforthedynamicsofhyperelasticrods
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