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math-ph2018
Covariant Linearization of elasticity
Raz Kupferman, Elihu Olami
In this paper we derive a general linearized theory for first-order continuum dynamics on manifolds with particular application to incompatible elasticity. We adopt a global approa…
math-ph2018★ 1 cited
Homogenization of edge-dislocations as a weak limit of de-Rham currents
Elihu Olami, Raz Kupferman
In the material science literature we find two continuum models for crystalline defects: (i) A body with (finite) isolated defects is typically modeled as a Riemannian manifold wit…