7 citations · 9 across the 3 of their papers we have counts for
3 papers
math.AP2016
Existence of localizing solutions in plasticity via geometric singular perturbation theory
Min-Gi Lee, Athanasios Tzavaras
Shear bands are narrow zones of intense shear observed during plastic deformations of metals at high strain rates. Because they often precede rupture, their study attracted attenti…
math.AP2014★ 2 cited
Convergence of Variational Approximation Schemes for Elastodynamics with Polyconvex Energy
Alexey Miroshnikov, Athanasios E. Tzavaras
We consider a variational scheme developed by S. Demoulini, D. M. A. Stuart and A. E. Tzavaras [Arch. Ration. Mech. Anal. 157 (2001)] that approximates the equations of three dimen…
math.AP2014★ 7 cited
A variational approximation scheme for radial polyconvex elasticity that preserves the positivity of Jacobians
Alexey Miroshnikov, Athanasios E. Tzavaras
We consider the equations describing the dynamics of radial motions for isotropic elastic materials; these form a system of non-homogeneous conservation laws. We construct a variat…