3 papers
math-ph2026
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…
math-ph2026
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…
physics.class-ph2025
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…