Role of weakest links and system-size scaling in multiscale modeling of stochastic plasticity

Péter Dusán Ispánovity, Dániel Tüzes, Péter Szabó, Michael Zaiser, and István Groma
Phys. Rev. B 95, 054108 – Published 9 February 2017

Abstract

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where details of the microstructure evolution are statistically represented in terms of a fluctuating local yield threshold. In the present paper we propose a method for determining the corresponding yield stress distribution for the case of crystal plasticity from lower scale discrete dislocation dynamics simulations which we combine with weakest link arguments. The success of scale linking is demonstrated by comparing stress-strain curves obtained from the resulting mesoscopic and the underlying discrete dislocation models in the microplastic regime. As shown by various scaling relations they are statistically equivalent and behave identically in the thermodynamic limit. The proposed technique is expected to be applicable to different microstructures and also to amorphous materials.

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  • Received 5 September 2016
  • Revised 4 December 2016

DOI:https://doi.org/10.1103/PhysRevB.95.054108

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Péter Dusán Ispánovity1,*, Dániel Tüzes1,2, Péter Szabó1, Michael Zaiser2, and István Groma1

  • 1Department of Materials Physics, Eötvös University, Pázmány Péter sétány 1/a, H-1117 Budapest, Hungary
  • 2Department of Materials Science and Engineering, WW8 (Materials Simulation), Friedrich-Alexander-University Erlangen-Nürnberg, Dr.-Mack-Str. 77, D-90762 Fürth, Germany

  • *ispanovity@metal.elte.hu

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Vol. 95, Iss. 5 — 1 February 2017

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