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Discrete crack modelling in a new X-FEM format with emphasis on dynamic response
Växjö University, Faculty of Mathematics/Science/Technology, School of Technology and Design. Maskinteknik.
2007 (English)In: International Journal for Numerical and Analytical Methods in Geomechanics, ISSN 0363-9061, Vol. 31, no 2, p. 261-283Article in journal (Refereed) Published
Abstract [en]

The displacement field in quasi-brittle material is localized into narrow fracture zones during the process of decohesion. The numerical modelling of the physically propagating displacement discontinuities is considered to be inherently difficult. In this paper, the introduction of continuous discontinuities into the finite element formulation is based on the extended finite element method (X-FEM). This paper extends the theory by further incorporating arbitrary discontinuities in the approximation and presenting numerical procedures to handle several fields of discontinuities. The discontinuous approximation is accomplished by usage of basis functions of very limited support; only non-zero in the elements containing the crack. Moreover, the introduction of discontinuities in a continuum is discussed and a robust numerical procedure is proposed. Further, the mechanical behaviour of cracks in a quasi-brittle material largely governs the overall mechanical response of the material, and the implementation of a cohesive crack model based on anisotropic damage coupled to plasticity is emphasized. Numerical examples for both static and dynamic, transient, loading show that the proposed X-FEM format in combination with the cohesive crack model has a good performance and leads to an efficient implementation. Finally, the proposed forward method for propagation of cracks and introduction of new ones is robust and stable.

Place, publisher, year, edition, pages
John Wiley and Sons Ltd , 2007. Vol. 31, no 2, p. 261-283
Keywords [en]
extended finite element method, partition of unity, anisotropic damage, plasticity, rate dependency, crack, quasi-brittle, concrete, softening, interface, constitutive models
National Category
Mechanical Engineering
Research subject
Technology (byts ev till Engineering), Mechanical Engineering
Identifiers
URN: urn:nbn:se:vxu:diva-4502DOI: 10.1002/nag.56OAI: oai:DiVA.org:vxu-4502DiVA, id: diva2:204460
Available from: 2007-05-03 Created: 2007-05-03 Last updated: 2017-10-12Bibliographically approved

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Ekevid, Torbjörn

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CiteExportLink to record
Permanent link

Direct link
Cite
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
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf