Constraints on diffusional cavity growth rates

Dyson, B. F.

doi:10.1179/030634576790431417

Cited by 303 publications

(75 citation statements)

References 8 publications

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“…Growth by grain boundary diffusion alone is part of the rigid grains model [1], and the combined effect of diffusion and dislocation creep of the surrounding material has been incorporated in detailed numerical studies of the growth of a single cavity (Needleman and Rice [4], Sham and Needleman [5]) . Diffusive cavity growth on a few facets needs to be accommodated by creep deformation of the surrounding material, which may give a constraint on the growth rate [6] . Such creep constrained cavitation has been analysed by Rice [7], using a penny-shaped crack model of a cavitating grain boundary facet in a creeping solid, and subsequently this model has been extended to include other mechanisms [8,9] .…”

Section: Introductionmentioning

confidence: 99%

A creep rupture model accounting for cavitation at sliding grain boundaries

Giessen

Tvergaard

1991

Int J Fract

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Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Giessen, E. V. D., & Tvergaard, V. (1991). A creep rupture model accounting for cavitation at sliding grain boundaries. International Journal of Fracture, 48(3). DOI: 10.1007/BF00036629 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. An axisymmetric cell model analysis is used to study creep failure by grain boundary cavitation at facets normal to the maximum principal tensile stress, taking into account the influence of cavitation and sliding at adjacent inclined grain boundaries . It is found that the interaction between the failure processes on these two types of adjacent facets reduces the failure time significantly when cavitation is creep constrained . In all cases the time to cavity coalescence on transverse facets appears to be a useful lower bound measure of the material life-time . Sliding at the boundaries of the central grain of the cell model is accurately represented ; but in some computations a stress enhancement factor is used to incorporate also the effect of sliding between surrounding grains . The influence of grain boundary viscosity is included in the model and it is found that even in the absence of sliding, cavitation on inclined boundaries may significantly reduce the failure time .

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Section: Introductionmentioning

confidence: 99%

A creep rupture model accounting for cavitation at sliding grain boundaries

Giessen

Tvergaard

1991

Int J Fract

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“…(8). The maximum of g c observed at (a/b) 3 = 0.30 is 2.44 at the inner radius, whereas g c = 1.10 at the outer radius.…”

Section: Resultsmentioning

confidence: 97%

“…As is well-known for intergranular creep cavitation, the cavity evolution can be significantly influenced by creep deformations of the surrounding grains [8][9][10]. Also HA cavitation due to nonuniform distributions of carbides along the grain boundaries in a polycrystal aggregate was analyzed numerically.…”

Section: Introductionmentioning

confidence: 99%

A continuum damage analysis of hydrogen attack in a 2.25Cr–1Mo pressure vessel

Burg

Giessen

Tvergaard

1998

Materials Science and Engineering: A

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A continuum damage analysis of hydrogen attack in a 2.25Cr-1Mo pressure vessel Burg, M.W.D. van der; Giessen, E. van der; Tvergaard, V. 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. AbstractA micromechanically based continuum damage model is presented to analyze the stress, temperature and hydrogen pressure dependent material degradation process termed hydrogen attack, inside a pressure vessel. Hydrogen attack (HA) is the damage process of grain boundary facets due to a chemical reaction of carbides with hydrogen, thus forming cavities with high pressure methane gas. Driven by the methane gas pressure, the cavities grow, while remote tensile stresses can significantly enhance the cavitation rate. The damage model gives the strain-rate and damage rate as a function of the temperature, hydrogen pressure and applied stresses. The model is applied to study HA in a vessel wall, where nonuniform distributions of hydrogen pressure, temperature and stresses result in a nonuniform damage distribution over the vessel wall. Stresses inside the vessel wall first tend to accelerate and later decelerate the cavitation rate significantly. Numerical studies for different material parameters and different stress conditions demonstrate the HA process inside a vessel in time. Also, the lifetime of the pressure vessel is determined. The analyses underline that the general applicability of the Nelson curve is questionable. © 1998 Elsevier Science S.A.

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“…We have discussed four theories: Hull and Rimmer [10], coupled grain boundary and surface diffusion controlled growth [15], constrained cavity growth [23], and continuous cavity nucleation [14]. Of the numerous theoretical works on creep cavitation, the models discussed above are the ones supported by experiment.…”

Section: Experimental Techniques To Study Creep Cavitationmentioning

confidence: 99%

“…Returning, however, to the concern over the high powers of the stress dependence, Dyson [23], Rice and Needleman [24], and Rice [25] introduced the idea of constrained cavity growth to explain this. At high growth rates, the atoms diffusing away from the cavities cannot be distributed uniformly along the grain boundary.…”

Section: Modeling Of Creep Cavitationmentioning

confidence: 99%

Characterization of Creep Damage in Metals Using Small Angle Neutron Scattering

Fuller

Fields

Chuang

et al. 1984

J. RES. NATL. BUR. STAN.

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Creep damage in polycrystalline metallic materials can be attributed to cavitation and cracking along the grain interfaces. Theories of creep cavitation that have been developed in recent years are reviewed. Further evaluation and/or refinement of these theories has been retarded by a lack of an experimental counterpart. Small angle neutron scattering studies (SANS) provide one experimental tool which is complementary to others. SANS done at NBS and elsewhere have shown that this technique is suitable for studying nucleation and early stage of growth of creep cavities. This would provide the impetus to further progress in this area.

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Constraints on diffusional cavity growth rates

Cited by 303 publications

References 8 publications

A creep rupture model accounting for cavitation at sliding grain boundaries

A creep rupture model accounting for cavitation at sliding grain boundaries

A continuum damage analysis of hydrogen attack in a 2.25Cr–1Mo pressure vessel

Characterization of Creep Damage in Metals Using Small Angle Neutron Scattering

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