International Journal of Fracture

, Volume 129, Issue 2, pp 141–148 | Cite as

Stress intensity factors of a central slant crack with frictional surfaces in plates with biaxial loading

  • M.M.I. Hammouda
  • A.S. Fayed
  • H.E.M. Sallam


The stress intensity factor is a traditional topic in mechanics and there have been many solutions for many different cases. The closed frictional crack problem has been modeled in the rock mechanics field where fractures are mostly under compression. Further, the effect of finite plate dimensions under biaxial loading has not been considered in the literature. The key contribution of the present paper is to evaluate the effect of the crack length to plate width ratio on the mode I and II stress intensity factors (SIF) of a central slant crack with frictional surfaces in plates with biaxial loading of different patterns, i.e. tension-tension, tension-compression, compression-tension or compression-compression. A plane strain elastic two-dimensional finite element analysis was adopted. Crack length to plate width ratios equal to 0.1, 0.3 and 0.5 with biaxial ratios from −1 to 1, crack angles from 0° to 90° and friction coefficients from 0 to 1 were considered. Contact regimes and the effect of the crack length to plate width ratio were found dependent on biaxial ratio and pattern, friction coefficient and crack angle.

Biaxial loading contact mechanics finite element analysis friction slant crack stress intensity factor. 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • M.M.I. Hammouda
    • 1
  • A.S. Fayed
    • 2
  • H.E.M. Sallam
    • 1
  1. 1.Mechanical Engineering DepartmentAl-Azhar UniversityEgypt
  2. 2.Materials Engineering DepartmentZagazig UniversityEgypt

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