20 citations · 173 across the 34 of their papers we have counts for
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math.DG2014★ 9 cited
Riemannian surfaces with torsion as homogenization limits of locally-Euclidean surfaces with dislocation-type singularities
Raz Kupferman, Cy Maor
We reconcile between two classical models of edge-dislocations in solids. The first model, dating from the early 1900s models isolated edge-dislocations as line singularities in lo…
math.DG2014★ 20 cited
The emergence of torsion in the continuum limit of distributed edge-dislocations
Raz Kupferman, Cy Maor
We present a rigorous homogenization theorem for distributed dislocations. We construct a sequence of locally-flat Riemannian manifolds with dislocation-type singularities. We show…