Fragmentation model of a rapidly expanding ring with arbitrary cross-section

@article{Goloveshkin2018FragmentationMO,
  title={Fragmentation model of a rapidly expanding ring with arbitrary cross-section},
  author={V. A. Goloveshkin and N. N. Myagkov},
  journal={Meccanica},
  year={2018},
  volume={54},
  pages={1219 - 1224}
}
A model has been proposed to estimate the average number of fragments produced by ductile fracture of a rapidly expanding ring with arbitrary cross-section. The model uses a minimum number of constants characterizing the material properties of the ring. We assume that material of the ring is incompressible with the density ρ and its mechanical behavior obeys the ideal rigid-plastic model with yield stress Y. It is shown that the average number of fragments weakly depends on the cross-sectional… 
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