Computations of modes I and II stress intensity factors of sharp notched plates under in-plane shear and bending loading by the fractal-like finite element method

Muhammad Treifi, S. Olutunde Oyadiji, Derek K L Tsang

Research output: Contribution to journalArticlepeer-review

Abstract

The fractal-like finite element method (FFEM) is used to compute the stress intensity factors (SIFs) for different configurations of cracked/notched plates subject to in-plane shear and bending loading conditions. In the FFEM, the large number of unknown variables in the singular region around a notch tip is reduced to a small set of generalised co-ordinates by performing a fractal transformation using global interpolation functions. The use of exact analytical solutions of the displacement field around a notch tip as the global interpolation functions reduces the computational cost significantly and neither post-processing technique to extract SIFs nor special singular elements to model the singular region are required. The results of numerical examples of various configurations of cracked/notched plates are presented and validated via published data. Also, new results for cracked/notched plate problems are presented. These results demonstrate the accuracy and efficiency of the FFEM to compute the SIFs for notch problems under in-plane shear and bending loading conditions. © 2008 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)6468-6484
Number of pages16
JournalInternational Journal of Solids and Structures
Volume45
Issue number25-26
DOIs
Publication statusPublished - 15 Dec 2008

Keywords

  • Edge-cracked plate
  • Edge-notched plate
  • Finite element method
  • Fracture mechanics
  • Global interpolation functions
  • Mode I and mode II stress intensity factors
  • Notch

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