Open Access
2012 An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods
Thorsten Fütterer, Axel Klar, Raimund Wegener
Int. J. Differ. Equ. 2012(SI1): 1-15 (2012). DOI: 10.1155/2012/718308

Abstract

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.

Citation

Download Citation

Thorsten Fütterer. Axel Klar. Raimund Wegener. "An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods." Int. J. Differ. Equ. 2012 (SI1) 1 - 15, 2012. https://doi.org/10.1155/2012/718308

Information

Received: 12 January 2012; Revised: 21 June 2012; Accepted: 5 July 2012; Published: 2012
First available in Project Euclid: 25 January 2017

zbMATH: 06078089
MathSciNet: MR2967992
Digital Object Identifier: 10.1155/2012/718308

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI1 • 2012
Back to Top