4 papers
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…
Structure of Defective Crystals at Finite Temperatures: A Quasi-Harmonic Lattice Dynamics Approach
Arash Yavari, Arzhang Angoshtari
In this paper we extend the classical method of lattice dynamics to defective crystals with partial symmetries. We start by a nominal defect configuration and first relax it static…
Estimating Terminal Velocity of Rough Cracks in the Framework of Discrete Fractal Fracture Mechanics
Arash Yavari, Hamed Khezrzadeh
In this paper we first obtain the order of stress singularity for a dynamically propagating self-affine fractal crack. We then show that there is always an upper bound to roughness…