2015
DOI: 10.1098/rsta.2014.0124
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Material grain size and crack size influences on cleavage fracturing

Abstract: A review is given of the analogous dependence on reciprocal square root of grain size or crack size of fracture strength measurements reported for steel and other potentially brittle materials. The two dependencies have much in common. For onset of cleavage in steel, attention is focused on relationship of the essentially athermal fracture stress compared with a quite different viscoplastic yield stress behaviour. Both grain-size-dependent stresses are accounted for in terms of dislocation pile-up mechanics. L… Show more

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Cited by 24 publications
(23 citation statements)
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References 81 publications
(118 reference statements)
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“…The tensile cleavage fracture stress also follows an H-P dependence with a higher value of k C > k T . The characteristic temperature, T C, for the transition in behavior has been modeled on a dislocation mechanics basis [13]. The topic also relates importantly to the sudden onset of brittle failure that may occur due to the presence of a sharp crack, as included in the subject of fracture mechanics.…”
Section: Brittle Fracturing and Fracture Mechanicsmentioning
confidence: 99%
See 1 more Smart Citation
“…The tensile cleavage fracture stress also follows an H-P dependence with a higher value of k C > k T . The characteristic temperature, T C, for the transition in behavior has been modeled on a dislocation mechanics basis [13]. The topic also relates importantly to the sudden onset of brittle failure that may occur due to the presence of a sharp crack, as included in the subject of fracture mechanics.…”
Section: Brittle Fracturing and Fracture Mechanicsmentioning
confidence: 99%
“…The brittleness transition behavior is depicted in Figure 5 for a compilation of measurements made on two steel materials with different grain sizes, and including measurements made of tensile yield stress, brittle fracture stresses in bend tests, and Charpy v-notch impact energy tests [13]. In the figure, the effective yield stress in the Charpy test has been raised by a notch factor, α = 1.94, to take account of the influence of hydrostatic component of stress and a small value of β has been employed (appropriate to an effective strain rate of 400 s −1 ); see Equation 4.…”
Section: The Ductile-to-brittle Transition Temperature (Dbtt)mentioning
confidence: 99%
“…An updated review has been presented [16]. An analogous relationship to the crack size dependence of the fracture mechanics properties of metals and related materials has been established [17].…”
Section: Crystal Polycrystal Nanopolycrystal Deformationsmentioning
confidence: 99%
“…Related theoretical analyses in the former case are in [63,64] and, for glass material, to essentially static hardness testing by Rouxel [55] and applied to hierarchical structural aspects of tooth enamel by Yilmaz et al [65]. Other benefits of structural considerations dealing with experimental fractographic analyses, building onto Hull's attribution to Hooke [3], are provided in [66,67], relating also to an exposition of ductile versus brittle fracturing considerations in the articles by Tekoglu et al [68], Armstrong [48], Knott [69] and Matic et al [70].…”
mentioning
confidence: 99%
“…Towards the 'opposite' crystal/polycrystal/nanopolycrystal level of size scale, coverage is provided by Antolovich [47], Armstrong [48], Hohenwarter & Pippan [49], Ovid'ko [50] and Pineau [51]. Emphasis is given by these authors to the importance of crystal/grain boundaries.…”
mentioning
confidence: 99%