5 citations · 5 across the 16 of their papers we have counts for
16 papers
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…
First-Order Compatible-Strain Mixed Quadrilateral Finite Elements for 2D Nonlinear Elasticity
Mohsen Jahanshahi, Damiano Pasini, Arash Yavari
Compatible-strain mixed finite elements (CSMFEs) use the differential complex of nonlinear elasticity to construct discretizations that preserve the underlying topological structur…
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…
Rational Mechanics of Material Strength in Brittle Solids
Arash Yavari, Aditya Kumar
Material strength is a classical concept with renewed importance in fracture mechanics, particularly in crack nucleation in brittle solids. We formulate material strength in finite…
Universal Displacements in Linear Strain-Gradient Elasticity
Dimitris Sfyris, Arash Yavari
We study universal displacement fields in three-dimensional linear strain-gradient elasticity within the Toupin-Mindlin first strain-gradient theory. Building on the approach of Ya…
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…
Controllable Deformations in Compressible Isotropic Implicit Elasticity
Arash Yavari, Alain Goriely
For a given material, \emph{controllable deformations} are those deformations that can be maintained in the absence of body forces and by applying only boundary tractions. For a gi…
Universal Deformations and Inhomogeneities in Isotropic Cauchy Elasticity
Arash Yavari
For a given class of materials, \emph{universal deformations} are those deformations that can be maintained in the absence of body forces and by applying solely boundary tractions.…
Universal Displacements in Anisotropic Linear Cauchy Elasticity
Arash Yavari, Dimitris Sfyris
Universal displacements are those displacements that can be maintained for any member of a specific class of linear elastic materials in the absence of body forces, solely by apply…
A Generalised Coleman-Noll Procedure and the Balance Laws of Hyper-Anelasticity
Souhayl Sadik, Arash Yavari
It is known that the balance laws of hyperelasticity (Green elasticity), i.e., conservation of mass and balance of linear and angular momenta, can be derived using the first law of…