3 papers
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
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…
math-ph2017
Stress theory for classical fields
Raz Kupferman, Elihu Olami, Reuven Segev
Classical field theories together with the Lagrangian and Eulerian approaches to continuum mechanics are embraced under a geometric setting of a fiber bundle. The base manifold can…