Crack propagation in high stress fatigue

Laird, C.; Smith, G. C.

doi:10.1080/14786436208212674

Cited by 476 publications

(123 citation statements)

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“…Well into the Paris regime, where larger scale plastic flow takes place, the deformation governed mechanisms [10,21], often assumed to govern fatigue crack growth may in fact become more prominent. Indeed, a transition from a cleavagelike fracture mode to a ductile fracture mode with increasing ⌬K and K max was seen in Ref.…”

Section: Discussionmentioning

confidence: 99%

“…Usami and Shida [8] postulated that the fatigue threshold corresponds to a critical plastic zone size while Donahue et al [9] proposed that the threshold for the onset of crack growth occurs when the crack tip opening displacement attains a value comparable to a critical microstructural parameter. Models for the Paris law regime include the geometric models of Laird and Smith [10] and of McClintock [11], which presume that crack growth rates are proportional to the crack tip opening displacement, and the damage accumulation models of Weertman [12] and Rice [13]. A feature of all these models is that they predict a dependence of the crack growth rates on the yield strength of the material in contrast to experimental observations.…”

Section: Introductionmentioning

confidence: 96%

“…Dislocation models by Pippan et al [17][18][19] and Wilkinson et al [20], are meant to represent the deformation-controlled fatigue crack growth mechanism proposed by Laird and Smith [10] and Neumann [21]. They postulate the onset of fatigue crack growth when dislocations nucleate from the crack tip or a single source near the crack tip at some critical stress intensity factor k emit .…”

Section: Introductionmentioning

confidence: 99%

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Scaling of discrete dislocation predictions for near-threshold fatigue crack growth

2003

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Analyses of the growth of a plane strain crack subject to remote mode I cyclic loading under small scale yielding are carried out using discrete dislocation dynamics. Plastic deformation is modelled through the motion of edge dislocations in an elastic solid with the lattice resistance to dislocation motion, dislocation nucleation, dislocation interaction with obstacles and dislocation annihilation being incorporated through a set of constitutive rules. An irreversible relation is specified between the opening traction and the displacement jump across a cohesive surface ahead of the initial crack tip in order to simulate cyclic loading in an oxidizing environment. Calculations are carried out with different material parameters so that values of yield strength, cohesive strength and elastic moduli varying by factors of three to four are considered. The fatigue crack growth predictions are found to be insensitive to the yield strength of the material despite the number of dislocations and the plastic zone size varying by approximately an order of magnitude. The fatigue threshold scales with the fracture toughness of the purely elastic solid, with the experimentally observed linear scaling with Young's modulus an outcome when the cohesive strength scales with Young's modulus.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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Scaling of discrete dislocation predictions for near-threshold fatigue crack growth

2003

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“…These dislocation models, by for example Pippan and co-workers [15][16][17] and Wilkinson et al [18], are meant to represent the deformation-controlled fatigue crack growth mechanism proposed by Laird and Smith [8] and Neumann [19]. In particular, Neumann's model is based on a mechanism that accounts for crack growth as well as striations by an alternating duplex slip mechanism.…”

Section: Introductionmentioning

confidence: 99%

“…The geometrical models, by for example Laird and Smith [8] and McClintock [9], presume that the crack growth rate is proportional to the cyclic crack opening displacement which, in turn, is proportional to (⌬K I ) 2 . Hence, geometrical models predict a Paris exponent m ϭ 2.…”

Section: Introductionmentioning

confidence: 99%

Discrete dislocation modeling of fatigue crack propagation

Deshpande

Needleman

Giessen³

2002

Acta Materialia

128

100

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Discrete dislocation modeling of fatigue crack propagation Deshpande, V.S.; Needleman, A.; van der Giessen, E.Published in: Acta Materialia DOI: 10.1016/S1359-6454(01)00377-9IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document VersionPublisher's PDF, also known as Version of record Publication date: 2002Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Deshpande, V. S., Needleman, A., & van der Giessen, E. (2002). Discrete dislocation modeling of fatigue crack propagation. Acta Materialia, 50(4), 831-846. [PII S1359-6454(01)00377-9]. https://doi.org/10.1016/S1359-6454(01)00377-9 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons).Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractAnalyses of the growth of a plane strain crack subject to remote mode I cyclic loading under small-scale yielding are carried out using discrete dislocation dynamics. Cracks along a metal-rigid substrate interface and in a single crystal are studied. The formulation is the same as that used to analyze crack growth under monotonic loading conditions, differing only in the remote stress intensity factor being a cyclic function of time. Plastic deformation is modeled through the motion of edge dislocations in an elastic solid with the lattice resistance to dislocation motion, dislocation nucleation, dislocation interaction with obstacles and dislocation annihilation being incorporated through a set of constitutive rules. An irreversible relation is specified between the opening traction and the displacement jump across a cohesive surface ahead of the initial crack tip in order to simulate cyclic loading in an oxidizing environment. The cyclic crack growth rate log(da/dN) versus applied stress intensity factor range log(⌬K I ) curve that emerges naturally from the solution of the boundary value problem shows distinct threshold and Paris law regimes. Paris law exponents in the range 4 to 8 are obtained for the parameters employed here. Furthermore, rather uniformly spaced slip bands corresponding to surface striations develop in the wakes of the propagating cracks. 

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