Metric Description of Singular Defects in Isotropic Materials

  title={Metric Description of Singular Defects in Isotropic Materials},
  author={R. Kupferman and M. Moshe and Jake P. Solomon},
  journal={Archive for Rational Mechanics and Analysis},
  • R. Kupferman, M. Moshe, Jake P. Solomon
  • Published 2015
  • Physics, Mathematics
  • Archive for Rational Mechanics and Analysis
  • Classical elasticity is concerned with bodies that can be modeled as smooth manifolds endowed with a reference metric that represents local equilibrium distances between neighboring material elements. The elastic energy associated with the configuration of a body in classical elasticity is the sum of local contributions that arise from a discrepancy between the actual metric and the reference metric. In contrast, the modeling of defects in solids has traditionally involved extra structure on… CONTINUE READING
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