7 papers · 1 filter
On Physical Components of Tensors in Elasticity and Inelasticity
Souhayl Sadik, Arash Yavari
Widely used in mechanics and mathematical physics, physical components remove the inherent coordinate-dependent scaling in curvilinear coordinates, yielding components of consisten…
Universal deformations and universal residual stresses in incompressible isotropic Cauchy elasticity
Arash Yavari
We study universal deformations in incompressible isotropic Cauchy elastic solids with residual stress, without assuming any specific origin for the residual stress. Starting from…
Nonlinear Anisotropic Visco-Anelasticity
Souhayl Sadik, Arash Yavari
We formulate a nonlinear geometric theory of visco-anelasticity that unifies viscoelastic and anelastic responses within a single thermodynamic framework. At each material point, t…
A Geometric Theory of Surface Elasticity and Anelasticity
Arash Yavari
In this paper we formulate a geometric theory of elasticity and anelasticity for bodies containing material surfaces with their own elastic energies and distributed surface eigenst…
Universal Deformations in Compressible Isotropic Cauchy Elastic Solids with Residual Stress
Arash Yavari, José Merodio, Mohd H. B. M. Shariff
We investigate universal deformations in compressible isotropic Cauchy elastic solids with residual stress, without assuming any specific source for the residual stress. We show th…
The Darboux Classification of Curl Forces
Arash Yavari, Alain Goriely
We study particle dynamics under curl forces. These forces are a class of non-conservative, non-dissipative, position-dependent forces that cannot be expressed as gradient of a pot…