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 Repjournal_title
Scientific reportsauthors
Huang GR,Huang JC,Tsai WYdoi
10.1038/srep39242subject
Has Abstractpub_date
2016-12-15 00:00:00pages
39242issn
2045-2322pii
srep39242journal_volume
6pub_type
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