An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods

Thorsten Fütterer, Axel Klar, Raimund Wegener
2012 International Journal of Differential Equations  
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.
doi:10.1155/2012/718308 fatcat:xhdigwpflfcd5ghi5f75ykcay4