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cond-mat.mtrl-sci2023
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…
cond-mat.mtrl-sci2023
Universal Displacements in Inextensible Fiber-Reinforced Linear Elastic Solids
Arash Yavari
For a given class of materials, universal displacements are those displacements that can be maintained for any member of the class by applying only boundary tractions. In this pape…
cond-mat.mtrl-sci2023
A Geometric Field Theory of Dislocation Mechanics
Fabio Sozio, Arash Yavari
In this paper a geometric field theory of dislocation dynamics and finite plasticity in single crystals is formulated. Starting from the multiplicative decomposition of the deforma…