Evaluation of mode III stress intensity factors for bi-material notched bodies using the fractal-like finite element method

  • Authors:

  • Muhammad Treifi;S. Olutunde Oyadiji

  • Affiliations:

  • School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester M13 9PL, UK;School of Mechanical, Aerospace and Civil Engineering, University of Manchester, Manchester M13 9PL, UK

  • Venue:
  • Computers and Structures
  • Year:
  • 2013

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Abstract

The fractal-like finite element method (FFEM) is extended to compute the stress intensity factors (SIFs) for bi-material notched bodies subject to anti-plane shear loading. The notched bodies are formed by bonding two materials together (isotropic-isotropic/isotropic-orthotropic). Also, a strain energy-based approach is developed and used to compute mode III SIFs for a bi-material notch using standard finite element (FE) commercial packages for comparison with corresponding data produced using the FFEM. Various numerical results for bi-material cracked/notched bodies under anti-plane shear are presented to demonstrate the accuracy and efficiency of the FFEM. Many new results for bi-material notched bodies are also introduced.