International Journal of Fracture

, Volume 23, Issue 4, pp 281–295 | Cite as

Comparison of the criteria for mixed mode brittle fracture based on the preinstability stress-strain field Part I: Slit and elliptical cracks under uniaxial tensile loading

  • S. K. Maiti
  • R. A. Smith


Predictions for the angle of crack extension, critical load and unstable crack paths based on the criteria of maximum tangential stress (MTS), maximum tangential strain (MTSN) and strain energy density (SED) for angled slit and elliptical cracks under uniaxial tensile loading are compared. The tangential stress associated with the MTS criterion need not be a principal stress and a new approach to this criterion is suggested. A criterion based on maximum tangential principal stress (MTPS) is proposed. Predictions by these two criteria are compared. Some difficulties associated with the application of the SED criterion are indicated. A new basis, which permits a unification of all the criteria in respect of prediction of critical load, is suggested. Some of the results have been compared with data available in the literature.


Brittle Fracture Critical Load Crack Path Crack Extension Strain Energy Density 
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On compare dans les cas d'une fente oblique et de fissures elliptiques soumises à tension uniaxiale, les prédictions sur l'angle d'extension de la fissure, sur la charge critique et sur les chemins que suit la fissure instable, en se basant sur les critéres de la contrainte maximum tangentielle (CMT), de la dilatation maximale tangentielle (DMT) et de la densité d'énergie de déformation (DED).

La contrainte tangentielle associée au critère CMT ne doit pas être une contrainte principale, et l'on suggère une nouvelle approche de ce critère.

On propose un critère base sur la contrainte maximum tangentielle principale (CMTP) et on compare les prédictions que donnent ces deux critères. On indique certaines difficultés qui sont associées à l'application du critère DED et on suggère une base nouvelle permettant d'unifier tous les critères par rapport aux prédictions de charge critique.

Certains des résultats obtenus sont comparés avec les données disponibles dans la littérature.


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Copyright information

© Martinus Nijhoff Publishers 1983

Authors and Affiliations

  • S. K. Maiti
    • 1
  • R. A. Smith
    • 1
  1. 1.Cambridge University Engineering DepartmentCambridgeUK

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