Torsional deformations in incompressible fibre–reinforced cylindrical pipes

P. Nardinocchi , T. Svatoň , L. Teresi

The first part of the paper deals with an extension of the classical Rivlin's solution of the torsion problem of a neo-Hookean pipe. The second part concerns a study of the passive torsional deformation processes in a fibre–reinforced cylindrical dummy of the beating heart. Especially, the dependence of the torsional and volumetric sti_ness of the cylindrical pipe on di_erent geometric and material parameters is discussed through a set of numerical simulations.

Mots clés: fibre–reinforced non-linearly incompressible elastic solids; finite torsion PACS: 46.05.+b; 46.70.Lk

P. Nardinocchi, T. Svatoň, L. Teresi. Torsional deformations in incompressible fibre–reinforced cylindrical pipes. European Journal of Mechanics - A/Solids, 2009, 29 (2), pp.266. ⟨10.1016/j.euromechsol.2009.09.001⟩. ⟨hal-00523353⟩