Likely cavitation and radial motion of stochastic elastic spheres

@article{AngelaMihai2020LikelyCA,
  title={Likely cavitation and radial motion of stochastic elastic spheres},
  author={L Angela Mihai and Thomas E. Woolley and Alain Goriely},
  journal={Nonlinearity},
  year={2020},
  volume={33},
  pages={1987 - 2034}
}
The cavitation of solid elastic spheres is a classical problem of continuum mechanics. Here, we study this problem within the context of ‘stochastic elasticity’ where the constitutive parameters are characterised by probability density functions. We consider homogeneous spheres of stochastic neo-Hookean material, composites with two concentric stochastic neo-Hookean phases, and inhomogeneous spheres of locally neo-Hookean material with a radially varying parameter. In all cases, we show that… 

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