Origin of sample size effect: Stochastic dislocation formation in crystalline metals at small scales.

Abstract:

:In crystalline metals at small scales, the dislocation density will be increased by stochastic events of dislocation network, leading to a universal power law for various material structures. In this work, we develop a model obeyed by a probability distribution of dislocation density to describe the dislocation formation in terms of a chain reaction. The leading order terms of steady-state of probability distribution gives physical and quantitative insight to the scaling exponent n values in the power law of sample size effect. This approach is found to be consistent with experimental n values in a wide range.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Huang GR,Huang JC,Tsai WY

doi

10.1038/srep39242

subject

Has Abstract

pub_date

2016-12-15 00:00:00

pages

39242

issn

2045-2322

pii

srep39242

journal_volume

6

pub_type

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