An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods | Zendy

Thorsten Fütterer | Zendy; Axel Klar | Zendy; Raimund Wegener | Zendy

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An Energy Conserving Numerical Scheme for the Dynamics of Hyperelastic Rods

Author(s) -

Thorsten Fütterer,

Axel Klar,

Raimund Wegener

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/718308

Subject(s) - hyperelastic material , rod , conservation of energy , mathematics , orthonormality , scheme (mathematics) , energy (signal processing) , classical mechanics , mathematical analysis , mechanics , finite element method , structural engineering , orthonormal basis , physics , engineering , medicine , alternative medicine , pathology , quantum mechanics , thermodynamics , statistics

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

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