2012
DOI: 10.1016/j.scriptamat.2012.05.043
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The effect of grain size diversity on the flow stress of nanocrystalline metals by finite-element modelling

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Cited by 19 publications
(15 citation statements)
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“…There are several factors influencing the deviation from the Hall-Petch relationship. First, the Hall-Petch analysis only considers average grain size, while real grain structures exhibit various grain size distributions, which have been shown to affect the strength of metals [49]. Also, the populations of grain boundaries may differ significantly, which strongly affects the strength of metals [50,51].…”
Section: Mechanical Propertiesmentioning
confidence: 99%
“…There are several factors influencing the deviation from the Hall-Petch relationship. First, the Hall-Petch analysis only considers average grain size, while real grain structures exhibit various grain size distributions, which have been shown to affect the strength of metals [49]. Also, the populations of grain boundaries may differ significantly, which strongly affects the strength of metals [50,51].…”
Section: Mechanical Propertiesmentioning
confidence: 99%
“…Some groups of researchers used the quasireal (e.g., Voronoi tessellation based) representations of structures, with some real structure parameters, to represent realistic microstructures of nanometals [28][29][30][31] (see an example Figure 1c). So, Mercier et al [32] considered nanocrystalline material as an aggregate of spherical grains, with random grain sizes, distributed according to lognormal probability distribution.…”
Section: Multi-element Composite Models and Homogenizationmentioning
confidence: 99%
“…Also, the homogenization methods have been improved, from easiest rule-of-mixture [22], to more complex composite models, like Christensen and Lo self-consistent scheme [43], Mori-Tanaka and hierarchical models [33][34][35][36][37][38][39][40] or real structure models with experimentally determined lognormal grain size distribution [28,29].…”
Section: Multi-element Composite Models and Homogenizationmentioning
confidence: 99%
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“…At an essential crystallite size, we could no longer utilize the approach of a pile-up mechanism in order to define the plastic flow. As the GI size decreased to the NC regime, the number of dislocations at the The material properties employed for the numerical investigation of the mechanical response of the nanocrystalline copper were established through the open literature review [21][22][23] of bilinear stress-strain curves, defined by values of yield stresses. The aforementioned material properties presumed in the simulations are presented in Table 1.…”
mentioning
confidence: 99%