Multiple dislocation pile-ups in small grains at small strains: implications for the Hall-Petch relationship and backstress screening
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This paper unravels the problem of an idealised pile-up of n infinite, equi-spaced walls of edge dislocations at equilibrium. We define a dimensionless parameter that depends on the geometric, constitutive and loading parameters of the problem, and we identify five different scaling regimes corresponding to different values of that parameter for large n. For each of the cases we perform a rigor...
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ژورنال
عنوان ژورنال: IOP Conference Series: Materials Science and Engineering
سال: 2014
ISSN: 1757-8981,1757-899X
DOI: 10.1088/1757-899x/63/1/012132