Crack extension by alternating shear

McClintock, F. A.; Pelloux, R. M.

doi:10.1016/0013-7944(70)90008-1

Cited by 215 publications

(81 citation statements)

References 1 publication

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“…The other limiting case of complete oxidation of the newly formed surfaces, which is expected under normal atmospheric conditions, is modeled by an irreversible cohesive law. Partial oxidation of the newly formed surfaces is not treated here, but has been observed experimentally, as reported by Pelloux [22,23] for Al alloys fatigued in a weak vacuum. The effect of the formation of the oxide layer and the subsequent surface contact during unloading is modeled by specifying unloading from and reloading to the monotonic cohesive law according to the linear incremental relation…”

Section: Discrete Dislocation Formulationmentioning

confidence: 66%

A discrete dislocation analysis of near-threshold fatigue crack growth

2001

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A discrete dislocation analysis of near-threshold fatigue crack growth Deshpande, V.S.; Needleman, A.; van der Giessen, E. Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Deshpande, V. S., . A discrete dislocation analysis of nearthreshold fatigue crack growth. Acta Materialia, 49(16), 3189 -3203. https://doi.org/10.1016/S1359-6454(01)00220-8 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. Abstract-Analyses of cyclic loading of a plane strain mode I crack under small-scale yielding are carried out using discrete dislocation dynamics. The formulation is the same as used to analyze crack growth under monotonic loading conditions, differing only in the remote stress intensity factor being a cyclic function of time. The dislocations are all of edge character and are modeled as line singularities in an elastic solid. The lattice resistance to dislocation motion, dislocation nucleation, dislocation interaction with obstacles and dislocation annihilation are incorporated into the formulation through a set of constitutive rules. Either reversible or irreversible relations are 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 as could occur in a vacuum or in an oxidizing environment, respectively. In accord with experimental data we find that the fatigue threshold ⌬K th is weakly dependent on the load ratio R when the reversible cohesive surface is employed. This intrinsic dependence of the threshold on R is an outcome of source limited plasticity at low R values and plastic shakedown at higher R values. On the other hand, ⌬K th is seen to decrease approximately linearly with increasing R followed by a plateau when the irreversible cohesive law is used. Our simulations show that in this case the fatigue threshold is dominated by crack closure at low values of R. Calculations illustrating the effects of obstacle density, tensile overloads and slip geometry on cyclic crack growth behavior are also presented. 

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Section: Discrete Dislocation Formulationmentioning

confidence: 66%

A discrete dislocation analysis of near-threshold fatigue crack growth

2001

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“…Numerous researchers have worked on relating the fatigue crack growth rate to cyclic J-integral [47][48][49] [50] and to the Crack Tip Opening Displacement (CTOD) [24,[51][52][53][54]. The ASTM standard E399 [55] also gives an indirect crack length measurement method using the CMOD.…”

Section: Cmod As a Function Of A P And A Smentioning

confidence: 99%

Numerical simulation of thermal fatigue behavior in a cracked disc of AISI H-11 tool steel

Qayyum

Shah

Shakeel

et al. 2016

Engineering Failure Analysis

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“…McClintock [2] postulated that the crack growth increment should be related to the crack tip opening displacement (CTOD) and reported correlation between striation spacing and CTOD data. A relation between crack growth increment and CTOD was suggested and derived by other investigators [3][4][5][6][7][8][9][10][11] who have used the plastic blunting process [12] of FCP or its versions in their analyses. It was initially indicated that the crack advance per cycle should be approximately one-half of the CTOD with all the plastic deformation occurring at the crack tip.…”

Section: Dl/dn = C(ak) Mmentioning

confidence: 99%

“…There is a large number of FCP theories that predict a second-power Paris Law. The COD theories [2][3][4][5][6][7][8][9][10][11] and the damage accumulation model with critical strain criterion [20][21][22][23][24][25][26][27] are among them. Cumulative displacement and plastic work theories [28][29][30][31][32][33][34][35], on the other hand, result in a fourth-power relationship.…”

Section: Zon /mentioning

confidence: 99%

A low-cycle fatigue approach to fatigue crack propagation

Birol

1989

J Mater Sci

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The damage accumulation hypothesis is used to derive a fatigue crack growth rate equation. The fatigue life of a volume element inside the plastic zone is evaluated by using low-cycle fatigue concepts. Crack growth rate is expressed as a function of cyclic material parameters and plastic zone characteristics. For a given material, crack growth increment is predicted to be a fraction of the plastic zone size which can be expressed in terms of fracture mechanics parameters, K and J. Hence, the proposed growth rate equation has a predictive capacity and is not limited to linear elastic conditions.

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Crack extension by alternating shear

Cited by 215 publications

References 1 publication

A discrete dislocation analysis of near-threshold fatigue crack growth

A discrete dislocation analysis of near-threshold fatigue crack growth

Numerical simulation of thermal fatigue behavior in a cracked disc of AISI H-11 tool steel

A low-cycle fatigue approach to fatigue crack propagation

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