Stochastic evolution elasto-plastic modeling of a metallic glass

arXiv (Cornell University)

Abstract

This paper develops a general data-driven approach to stochastic elastoplastic modelling that leverages atomistic simulation data directly rather than by fitting parameters. The approach is developed in the context of metallic glasses, which present inherent complexities due to their disordered structure. By harvesting statistics from simulated metallic glass shear response histories, the material state is mapped onto a two-dimensional state space consisting of the shear stress and the inelastic contribution to the potential energy. The resulting elastoplastic model is intrinsically stochastic and represented as a non-deterministic dynamical map. The state space statistics provide insights into the deformation physics of metallic glasses, revealing that two state variables are sufficient to describe the main features of the elastoplastic response. In this two-dimensional state space, the gradually quenched metallic glass rejuvenates during the initial quasi-elastic shearing, ultimately reaching a steady state that fluctuates about a fixed point in the state space as rejuvenation and aging balance.

Authors 7

1. Bin Xu
   Affiliation as printed

   Department of Materials Science and Engineering ,

2. Zhao Wu Aachen Institute of General Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of General Mechanics , RWTH Aachen University ,

3. Jiayin Lü

   Harvard University Press

   Affiliation as printed

   Department of Applied Mathematics , Harvard University , Cambridge , Massachusetts 02138 , USA

4. Michael D. Shields

   Johns Hopkins University

   Affiliation as printed

   Department of Materials Science and Engineering , Johns Hopkins University , Baltimore , Maryland 21218 , USA

5. Chris H. Rycroft

   University of Wisconsin–Madison

   Affiliation as printed

   Department of Mathematics , University of Wisconsin , Madison , Wisconsin 53706 , USA

6. Franz Bamer
7. Michael L. Falk
   Affiliation as printed

   Department of Materials Science and Engineering ,