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A numerical procedure for interaction integrals developed for curved cracks of general shape in 3-D
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).ORCID iD: 0000-0003-2470-7679
2015 (English)In: International Journal of Solids and Structures, ISSN 0020-7683, E-ISSN 1879-2146, Vol. 62, 144-157 p.Article in journal (Refereed) Published
Abstract [en]

This study presents a numerical procedure for the evaluation of interaction energy integrals used to extract mixed-mode stress intensity factors. The interaction energy integral is expressed as a domain integral, and the proposed numerical procedure delivers accurate results for three-dimensional cracks with curved crack fronts and curved crack surfaces for a rather general set of integration domains. It is clearly shown that, when the curvature of the crack surface becomes sufficiently large, special care must be taken in the evaluation of both the volume and the area integrals involved. To improve the accuracy in the evaluation of the former, a composite rule for the Gaussian quadrature scheme is employed. Four benchmark geometries with available analytical solutions are considered. Firstly, mesh design parameters for planar cracks with straight and curved crack fronts are established. Secondly, non-planar cracks with straight and curved crack fronts are employed to examine the accuracy of the numerical procedure.

Place, publisher, year, edition, pages
2015. Vol. 62, 144-157 p.
Keyword [en]
3-D, Curved cracks, Interaction energy integral, Mixed-mode, Stress intensity factors
National Category
Materials Engineering
Identifiers
URN: urn:nbn:se:kth:diva-167024DOI: 10.1016/j.ijsolstr.2015.02.022ISI: 000354581000012Scopus ID: 2-s2.0-84928280048OAI: oai:DiVA.org:kth-167024DiVA: diva2:813287
Note

QC 20150608

Available from: 2015-05-22 Created: 2015-05-21 Last updated: 2017-12-04Bibliographically approved

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Bremberg, DanielFaleskog, Jonas
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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  • asciidoc
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