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Stable and unstable growth of crack tip precipitates
Mechanical Engineering Dept., Blekinge Institute of Technology, Karlskrona, Sweden.
Solid Mechanics, LTH, Lund University, SE22100 Lund, Sweden.
Bhabha Atomic Research Centre, Mumbai-400085, Mumbai, India.
Malmö University, Faculty of Technology and Society (TS), Department of Materials Science and Applied Mathematics (MTM).ORCID iD: 0000-0001-6532-6720
2018 (English)In: Procedia Structural Integrity, ISSN 2452-3216, Vol. 13, p. 1792-1797Article in journal (Refereed) Published
Abstract [en]

A model is established that describes stress driven diffusion, resulting in formation and growth of an expanded precipitate at the tip of a crack. The new phase is transversely isotropic. A finite element method is used and the results are compared with a simplified analytical theory. A stress criterium for formation of the precipitate is derived by direct integration of the Einstein-Smoluchowski law for stress driven diffusion. Thus, the conventional critical concentration criterium for precipitate growth can be replaced with a critical hydrostatic stress. The problem has only one length scale and as a consequence the precipitate grows under self-similar conditions. The length scale is given by the stress intensity factor, the diffusion coefficient and critical stress versus remote ambient concentrations. The free parameters involved are the expansion strain, the degree of anisotropy and Poisson's ratio. Solutions are obtained for a variation of the first two. The key result is that there is a critical phase expansion strain below which the growth of the new phase is stable and controlled by the stress intensity factor. For supercritical expansion strains, the precipitate grows even without remote load. The anisotropy of the expansion strongly affects the shape of the precipitate, but does not have a large effect on the crack tip shielding. (C) 2018 The Authors. Published by Elsevier B.V.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 13, p. 1792-1797
Keywords [en]
Crack tip precipitation, unstable precipitate growth, crack tip shielding, delayed hydride crack growth, stress driven diffusion
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:mau:diva-2431DOI: 10.1016/j.prostr.2018.12.359ISI: 000459860900296Scopus ID: 2-s2.0-85064590872Local ID: 29545OAI: oai:DiVA.org:mau-2431DiVA, id: diva2:1399184
Conference
European Conference on Fracture (ECF22), Belgrade, Serbia (26-31 August, 2018)
Available from: 2020-02-27 Created: 2020-02-27 Last updated: 2023-07-06Bibliographically approved

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Ståhle, PerFisk, Martin

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