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Dynamical formation of cavity in transversely isotropic hyper-elastic spheres

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Abstract

The cavity formation in a radial transversely isotropic hyper-elastic sphere of an incompressible Ogden material, subjected to a suddenly applied uniform radial tensile boundary dead-load, is studied fllowing the theory of finite deformation dynamics. A cavity forms at the center of the sphere when the tensile load is greater than its critical value. It is proved that the evolution of the cavity radius with time follows that of nonlinear periodic oscillations.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Department of Mechanics, Shanghai University, 200072, Shanghai, China

    Ren Jiusheng & Cheng Changjun

Authors
  1. Ren Jiusheng
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  2. Cheng Changjun
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Additional information

The project supported by the National Natural Science Foundation of China (10272069) and Shanghai Key Subject Program

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Jiusheng, R., Changjun, C. Dynamical formation of cavity in transversely isotropic hyper-elastic spheres. Acta Mech Sinica 19, 320–323 (2003). https://doi.org/10.1007/BF02487808

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  • DOI: https://doi.org/10.1007/BF02487808

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