Skip to main content
Log in

A unified brittle fracture criterion for structures with sharp V-notches under mixed mode loading

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

A unified brittle fracture criterion for cracks and V-notches under mixed mode loading is proposed by extending the maximum circumferential stress criterion and Novozhilov’s criterion. The mixed mode fracture toughness and crack orientation of PMMA plates with a sharp V-notch are predicted by the proposed criterion. Tests were also carried out in order to investigate the mixed mode fracture of the PMMA plates. The fracture criterion is validated by comparison to experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. F. Erdogan and G. C. Sih, On the crack extension in plates under plane loading and transverse shear loading, Journal of Basic Engineering, Transactions of ASME, 85 (1963) 519–525.

    Google Scholar 

  2. G. C. Sih, Strain energy density factor applied to mixed mode crack problems, International Journal of Fracture, 10 (1974) 305–321.

    Article  Google Scholar 

  3. M. A. Hussain, S. L. Pu and J. Underwood, Strain energy release rate for a crack under combined mode I and mode II, Fracture Analysis, ASTM STP 560, ASTM, Philadelphia, (1974) 2–28.

  4. A. Seweryn, Brittle fracture criterion for structures with sharp notches, Engineering Fracture Mechanics, 47 (1994) 673–681.

    Article  Google Scholar 

  5. V. V. Novozhilov, On necessary and sufficient criterion of brittle fracture, Prikladnaja Matematika, 33 (1969) 212–222.

    Google Scholar 

  6. J. M. Whitney and R. J. Nuismer, Stress fracture criteria for laminated composites containing stress concentrations, Journal of Composite Material, 8 (1974) 253–265.

    Article  Google Scholar 

  7. M. L. Dunn and W. Suwito, Cunningham S. May CW. Fracture initiation at sharp notches mode I, mode II, and mild mixed mode loading, International Journal of Fracture, 84 (1997) 367–381.

    Article  Google Scholar 

  8. L. O. Jernkvist, Fracture of wood under mixed mode loading II. Experimental investigation of Picea abies, Engineering Fracture Mechanics, 68 (2001) 565–576

    Article  Google Scholar 

  9. M. Strandberg, Fracture at V-notches with contained plasticity, Engineering Fracture Mechanics, 69 (2002) 403–415.

    Article  Google Scholar 

  10. F. J. GÓmez and M. Elices, Fracture of components with V-shaped notches, Engineering Fracture Mechanics, 70 (2003) 1913–1927.

    Article  Google Scholar 

  11. F. J. GÓmez and M. Elices, A fracture criterion for blunted V-notched samples, International Journal of Fracture, 127 (2004) 239–264.

    Article  Google Scholar 

  12. A. Seweryn, S. Poskrobko and Z. MrÓz, Brittle fracture in plane elements with sharp notches under mixed-mode loading, Journal of Engineering Mechanics, 123 (1997) 535–543.

    Article  Google Scholar 

  13. J. L. Grenestedt, S. HallstrŐm and J. Kuttenkeuler, On cracks emanating from wedges in expanded PVC foam, Engineering Fracture Mechanics, 54 (1996) 445–456.

    Article  Google Scholar 

  14. S. HallstrŐm and J. L. Grenestedt, Mixed mode fracture of cracks and wedge shaped notches in expanded PVC form, International Journal of Fracture, 88 (1997) 343–358.

    Article  Google Scholar 

  15. M. Stern, E. B. Becker and R. S. Dunham, A contour integral computation of mixed-mode stress intensity factors, International Journal of Fracture, 12 (1976) 359–368.

    Google Scholar 

  16. W. C. Carpenter, An improved technique for determining higher order eigenvector coefficients, International Journal of Fracture, 37 (1988) 107–121.

    Google Scholar 

  17. W. C. Carpenter, Comments on the eigenvalue formulation of problems with cracks, V-notched cracks, and corners, International Journal of Fracture, 68 (1994) 75–87.

    Article  MathSciNet  Google Scholar 

  18. W. C. Carpenter, Insensitivity of the reciprocal work contour integral method to higher order eigenvectors, International Journal of Fracture, 73 (1995) 93–108.

    Article  Google Scholar 

  19. J. K. Kim and S. B. Cho, An Analysis of Eigenvalues and Eigenvectors for V-notched Cracks in Pseudo-isotropic Dissimilar Materials, International Journal of Precision Engineering and Manufacturing, 3 (2002) 22–32.

    Google Scholar 

  20. M. L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, Journal of Applied Mechanics, 19 (1952) 526–528.

    Google Scholar 

  21. H. A. Richard, A new compact shear specimen, International Journal of Fracture, 17 (1981) R105–107

    Google Scholar 

  22. ANSYS User’s and Theory Manuals, Revision 10.0.

  23. A. Seweryn and A. Lukaszewicz, Verification of brittle fracture criteria for elements with V-shaped notches, Engineering Fracture Mechanics, 69 (2002) 1487–1510.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sang Bong Cho.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, J.K., Cho, S.B. A unified brittle fracture criterion for structures with sharp V-notches under mixed mode loading. J Mech Sci Technol 22, 1269–1278 (2008). https://doi.org/10.1007/s12206-008-0315-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-008-0315-y

Keywords

Navigation