145 citations · 427 across the 25 of their papers we have counts for
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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…
Accretion-Ablation Mechanics
Satya Prakash Pradhan, Arash Yavari
In this paper we formulate a geometric nonlinear theory of the mechanics of accreting-ablating bodies. This is a generalization of the theory of accretion mechanics of Sozio and Ya…
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…
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…
Nonlinear Mechanics of Remodeling
Aditya Kumar, Arash Yavari
In this paper we present a large-deformation formulation of the mechanics of remodeling. Remodeling is anelasticity with an internal constraint -- material evolutions that are mass…
On the Effective Mass of Mechanical Lattices with Microstructure
Francesco Fedele, Phanish Suryanarayana, Arash Yavari
We present a general formalism for the analysis of mechanical lattices with microstructure using the concept of effective mass. We first revisit a classical case of microstructure…
Geometric Phases of Nonlinear Elastic -Rotors via Cartan's Moving Frames
Francesco Fedele, Arash Yavari
We study the geometric phases of nonlinear elastic -rotors with continuous rotational symmetry. In the Hamiltonian framework, the geometric structure of the phase space is a pri…