Cracks as Limits of Eshelby Inclusions

@article{Markenscoff2019CracksAL,
  title={Cracks as Limits of Eshelby Inclusions},
  author={Xanthippi Markenscoff},
  journal={Physical Mesomechanics},
  year={2019},
  volume={22},
  pages={42-45}
}
As limiting behaviors of Eshelby ellipsoidal inclusions with transformation strain, crack solutions can be obtained both in statics and dynamics (for self-similarly expanding ones). Here is presented the detailed analysis of the static tension and shear cracks, as distributions of vertical centers of eigenstrains and centers of antisymmetric shear, respectively, inside the ellipse being flattened to a crack, so that the singular external field is obtained by the analysis, while the interior is… CONTINUE READING

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