6 papers
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…
On Universal Deformations and Material Preferred Directions in Anisotropic Cauchy Elasticity
Seyedemad Motaghian, Arash Yavari
In this paper we study universal deformations in anisotropic Cauchy elasticity. We show that the universality constraints of hyperelasticity and Cauchy elasticity for transversely…
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…
On Universal Deformations of Compressible Cauchy Elastic Solids Reinforced by Inextensible Fibers
Arash Yavari
Universal deformations are those that can be maintained in the absence of body forces and with boundary tractions alone, for all materials within a given constitutive class. We stu…
Nonlinear Cauchy Elasticity
Arash Yavari, Alain Goriely
Most theories and applications of elasticity rely on an energy function that depends on the strains from which the stresses can be derived. This is the traditional setting of Green…