Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder

@inproceedings{ArandaIglesias2017NonlinearAV,
  title={Nonlinear axisymmetric vibrations of a hyperelastic orthotropic cylinder},
  author={D. Aranda-Iglesias and J A Rodr{\'i}guez-Mart{\'i}nez and Mordecai B. Rubin},
  year={2017}
}
Abstract In this paper we investigate the large-amplitude axisymmetric free vibrations of an incompressible nonlinear elastic cylindrical structure. The material behavior is described as orthotropic and hyperelastic using the physically-based invariants proposed by Rubin and Jabareen (2007, 2010). The cylinder is modeled using the theory of a generalized Cosserat membrane, which allows for finite deformations that include displacements along the longitudinal axis of the structure. The bi… CONTINUE READING

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