The effect of glass stability on the yielding transition and mechanical properties periodically deformed binary glasses is investigated using molecular dynamics simulations. We consider a mixture first slowly cooled below temperature then mechanically annealed to deeper energy states via small-amplitude oscillatory shear deformation. show that upon increasing stability, modulus peak during star...

The accumulation of plastic deformation and flow localization in amorphous alloys under periodic shear are investigated using molecular dynamics simulations. We study a well-annealed binary mixture one million atoms subjected to oscillatory with strain amplitudes slightly above critical value. find that upon approaching amplitude from above, the number cycles until yielding transition is well d...

A general adaptive refinement strategy for solving linear elliptic partial differential equations with random data is proposed and analysed herein. The extends the a posteriori error estimation framework introduced by Guignard Nobile [SIAM J. Numer. Anal., 56 (2018), pp. 3121--3143] to cover problems nonaffine parametric coefficient dependence. suboptimal, but nonetheless reliable convenient im...

The influence of variable-amplitude loading on the potential energy and mechanical properties amorphous materials is investigated using molecular dynamics simulations. We study a binary mixture that either rapidly or slowly cooled across glass transition temperature then subjected to sequence shear cycles with strain amplitudes above below yielding strain. It was found well annealed glasses can...

This work addresses a pattern-moving-based partial form dynamic linearization model free adaptive control (P-PFDL-MFAC) scheme and illustrates the bounded convergence of its tracking error for class unknown nonaffine nonlinear discrete-time systems. The concept pattern moving is to take system output condition as operation variable, purpose ensure that outputs belong certain or some desired cla...

Paradigmatic model systems, which are used to study the mechanical response of matter, are random networks of point-atoms, random sphere packings, or simple crystal lattices; all of these models assume central-force interactions between particles/atoms. Each of these models differs in the spatial arrangement and the correlations among particles. In turn, this is reflected in the widely differen...

A multilevel adaptive refinement strategy for solving linear elliptic partial differential equations with random data is recalled in this work. The extends the a posteriori error estimation framework introduced by Guignard and Nobile 2018 [SIAM J. Numer. Anal., 56 (2018), pp. 3121–3143] to cover problems nonaffine parametric coefficient dependence. suboptimal, but nonetheless reliable convenien...