Discombinations in Nonlinear Elastic Solids

ORAL

Abstract

We consider the problem of \emph{discombinations}, that is a combined distribution of fields of dislocations, disclinations, and point defects. Given a discombination, we compute the geometric characteristics of the material manifold (curvature, torsion, non-metricity), its Cartan's moving frames and structural equations. As an example, we calculate the residual stress field of a cylindrically-symmetric distribution of discombinations in an infinite circular cylindrical bar made of an incompressible hyperelastic isotropic elastic solid.

Authors

  • Arash Yavari

    Georgia Institute of Technology