Next Article in Journal
Influence of Alloy Elements on Cracking in the Steel Ingot during Its Solidification
Previous Article in Journal
Removal of Residual Element Tin in the Ferrous Metallurgy Process: A Review
Previous Article in Special Issue
Influence of Size on the Fractal Dimension of Dislocation Microstructure
Open AccessArticle

From Statistical Correlations to Stochasticity and Size Effects in Sub-Micron Crystal Plasticity

1
Department of Mechanical and Aerospace Engineering, West Virginia University, Morgantown, WV 26506, USA
2
Department of Physics & Astronomy, West Virginia University, Morgantown, WV 26506, USA
*
Author to whom correspondence should be addressed.
Metals 2019, 9(8), 835; https://doi.org/10.3390/met9080835
Received: 24 June 2019 / Revised: 18 July 2019 / Accepted: 25 July 2019 / Published: 27 July 2019
(This article belongs to the Special Issue Dislocation Mechanics of Metal Plasticity and Fracturing)
  |  
PDF [2100 KB, uploaded 7 August 2019]
  |  

Abstract

Metals in small volumes display a strong dependence on initial conditions, which translates into size effects and stochastic mechanical responses. In the context of crystal plasticity, this amounts to the role of pre-existing dislocation configurations that may emerge due to prior processing. Here, we study a minimal but realistic model of uniaxial compression of sub-micron finite volumes. We show how the statistical correlations of pre-existing dislocation configurations may influence the mechanical response in multi-slip crystal plasticity, in connection to the finite volume size and the initial dislocation density. In addition, spatial dislocation correlations display evidence that plasticity is strongly influenced by the formation of walls composed of bound dislocation dipoles. View Full-Text
Keywords: plasticity; representative volume element; dislocation structure; dislocation correlations; dislocation avalanches plasticity; representative volume element; dislocation structure; dislocation correlations; dislocation avalanches
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Song, H.; Papanikolaou, S. From Statistical Correlations to Stochasticity and Size Effects in Sub-Micron Crystal Plasticity. Metals 2019, 9, 835.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Metals EISSN 2075-4701 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top