The Hall–Petch Relation and High-Temperature Subgrains

Abson, D. J.; Jonas, J. J.

doi:10.1179/msc.1970.4.1.24

Cited by 114 publications

(33 citation statements)

References 13 publications

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“…Calculated k c Measured k k /k c FCC Aluminum 0.05 0.07-0.11 Carreker and Hibbard (1957) and Abson and Jonas (1970) …”

Section: Methodsmentioning

confidence: 99%

“…Material k y (MN/m 3/2 ) D (lm) References BCC Fe-3% Si 0.82-1.08 19-1250 Hull (1975), Abson and Jonas (1970) Carreker and Hibbard (1957) and Abson and Jonas (1970) where s a is the applied shear stress, l is the shear modulus and b is the Burgers vector of each dislocation in the pile-up. k represents the character of the dislocations, with k = 1 for screw dislocations and k = 1 À m ($0.7) for edge dislocations.…”

Section: Phenomenological Models Of the Hall-petch Effectmentioning

confidence: 99%

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Simulation of polycrystal deformation with grain and grain boundary effects

Lim¹,

Lee²,

Kim³

et al. 2011

International Journal of Plasticity

159

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“…Calculated k c Measured k k /k c FCC Aluminum 0.05 0.07-0.11 Carreker and Hibbard (1957) and Abson and Jonas (1970) …”

Section: Methodsmentioning

confidence: 99%

Section: Phenomenological Models Of the Hall-petch Effectmentioning

confidence: 99%

Simulation of polycrystal deformation with grain and grain boundary effects

Lim¹,

Lee²,

Kim³

et al. 2011

International Journal of Plasticity

159

View full text Add to dashboard Cite

“…13b). This suggests, according to an investigation on sub-boundary strengthening by Abson and Jonas [57], that the cell walls observed in fatigued a-iron represent boundaries of a strength intermediate between that of grain boundaries and of subcell boundaries * Preliminary tests on niobium single crystals [39] indicate that, in this respect, the behaviour at room temperature is more similar to that of copper. formed in high-temperature creep.…”

mentioning

confidence: 99%

Cyclic deformation and fatigue behaviour of ?-iron mono-and polycrystals

1981

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strongly impeded dislocation multiplication below Aept -5 × 10 -4, appreciable secondary slip at higher Aepl leading to a cell structure (persistent slip bands do not form), shape changes due to asymmetric slip of screw dislocations and a relatively high effective stress level.The reduction of ~p~ and the presence of solute carbon atoms modify this behaviour significantly, making it more similar to that of f.c.c, metals. In all cases it was found that only the athermal component of the peak (saturation) stress but not the latter itself represents a suitable measure of the properties of the dislocation substructure.On the basis of the cyclic deformation behaviour and of observations of trans-and intergranular fatigue crack initiation it was concluded that the fatigue limit of a-iron is an intrinsic property of the b.c.c. structure whose characteristics, however, are affected sensitively by interstitial impurity content and by the strain rate of the fatigue test.

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“…Although = 0 + −1 has now been shown to support macro-mechanical testing data better than the Hall-Petch equation [14], the Hall-Petch coefficients available in the literature do allow the overall effects of crystal structure, alloying additions and other factors on the relative effectiveness of grain boundary strengthening to be assessed. Of course it is to be expected that the nature and geometry of individual grain boundary types should have a pronounced effect on the intensity of local stress concentrations generated [18,19]. Amongst others, Sangid et al [20] suggest that the slip band and grain boundary interaction is strongly affected by the character and structure of grain boundaries.…”

Section: Introductionmentioning

confidence: 99%