International Journal of Fracture

, Volume 89, Issue 2, pp 103–116 | Cite as

Stress Intensity factor, compliance and CMOD for a General Three-Point-Bend Beam

  • G. V. Guinea
  • J. Y. Pastor
  • J. Planas
  • M. Elices


New simple and general expressions for the stress intensity factor, compliance and crack mouth opening displacement for three-point bend specimens are computed. Inverse functions giving the crack length as a function of load-point displacement or crack mouth opening displacement are also included. The expressions are valid for any crack length and for any span-to-depth ratio larger than 2.5. The expressions are checked by comparing them to direct finite element computations and to available expressions by other authors. The accuracy of the new expression is equal to or better than available formulas when compared with finite element computations, and its range of applicability is much larger. Moreover, all the new expressions exhibit the correct asymptotic behaviour for very shallow and very deep cracks.

Stress intensity factor compliance CMOD the-point-bend specimen. 


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Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • G. V. Guinea
    • 1
  • J. Y. Pastor
    • 1
  • J. Planas
    • 1
  • M. Elices
    • 1
  1. 1.Department de Ciencia de Materials, ETSI CaminosUniversidad Politécnica de MadridMadridSpain

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