1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
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…
Continuum Dynamics on Manifolds: Application to Elasticity of Residually-Stressed Bodies
Reuven Segev, Raz Kupferman, Elihu Olami
This paper is concerned with the dynamics of continua on differentiable manifolds. We present a covariant derivation of equations of motion, viewing motion as a curve in an infinit…