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physics.class-ph2024★ 5 cited
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…
physics.class-ph2024
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.…
physics.class-ph2024
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…