17 citations · 20 across the 6 of their papers we have counts for
7 papers
On the Mathematical Structure of Helical Shear in Anelastic Continua
Souhayl Sadik, Giuseppe Saccomandi, Luigi Vergori
We study helical shear of a thick-walled tube made of an incompressible, isotropic hyper-anelastic solid carrying a radially symmetric distribution of axial screw dislocations. Thr…
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…
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 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…
Nonlinear Anisotropic Viscoelasticity
Souhayl Sadik, Arash Yavari
In this paper we revisit the mathematical foundations of nonlinear viscoelasticity. We study the underlying geometry of viscoelastic deformations, and in particular, the intermedia…
Tangential Tensor Fields on Deformable Surfaces -- How to Derive Consistent -Gradient Flows
Ingo Nitschke, Souhayl Sadik, Axel Voigt
We consider gradient flows of surface energies which depend on the surface by a parameterization and on a tangential tensor field. The flow allows for dissipation by evolving the p…
On local kirigami mechanics II: Stretchable creased solutions
Souhayl Sadik, Martin G. Walker, Marcelo A. Dias
Following on Part I of this work series on local kirigami mechanics, we present a study of a discretely creased mechanism as a model to investigate the mechanics of the basic geome…