12 citations · 14 across the 3 of their papers we have counts for
8 papers
Dynamics for Systems of Screw Dislocations
Timothy Blass, Irene Fonseca, Giovanni Leoni +1
The goal of this paper is the analytical validation of a model of Cermelli and Gurtin for an evolution law for systems of screw dislocations under the assumption of antiplane shear…
Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear
Timothy Blass, Marco Morandotti
We present a variational framework for studying screw dislocations subject to antiplane shear. Using a classical model developed by Cermelli and Gurtin, methods of Calculus of Vari…
On the Stability of Stochastic Parametrically Forced Equations with Rank One Forcing
Timothy Blass, L. A. Romero, J. R. Torczynski
We derive simplified formulas for analyzing the stability of stochastic parametrically forced linear systems. This extends the results in [T. Blass and L.A. Romero, SIAM J. Control…
From nonlinear to linearized elasticity via Gamma-convergence: the case of multiwell energies satisfying weak coercivity conditions
Virginia Agostiniani, Timothy Blass, Konstantinos Koumatos
Linearized elasticity models are derived, via Gamma-convergence, from suitably rescaled nonlinear energies when the corresponding energy densities have a multiwell structure and sa…
Stability of Ordinary Differential Equations with Colored Noise Forcing
Timothy Blass, L. A. Romero
We present a perturbation method for determining the moment stability of linear ordinary differential equations with parametric forcing by colored noise. In particular, the forcing…
The Analyticity Breakdown for Frenkel-Kontorova Models in Quasi-periodic Media: Numerical Explorations
Timothy Blass, Rafael de la Llave
We study numerically the "analyticity breakdown" transition in 1-dimensional quasi-periodic media. This transition corresponds physically to the transition between pinned down and…