Skip to main content

Part of the book series: NATO ASI Series ((ASHT,volume 46))

  • 194 Accesses

Abstract

In heterogeneous materials, cracks are never flat. This observation is however trivial, as the presence of different phases in the material, (voids, inclusions,…) produces stress intensity factor (SIF) modulation along the crack front which has to match the different phase toughness, and hence the crack is deflected, retarded or accelerated leaving in its trail a rough crack surface.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Feder J., Fractals, Plenum Press, ( New-York, 1989 )

    Google Scholar 

  2. Mandelbrot B. B., Passoja D. E., and Paullay A. J., “Fractal character of fracture surfaces of metals”, Nature 308, 721, (1984)

    Article  CAS  Google Scholar 

  3. Bouchaud E., “Scaling properties of cracks”, J. Phys. Condensed Matter, 9 4319, (1997)

    Article  CAS  Google Scholar 

  4. Bouchaud E., Lapasset G. and Planès J., “Fractal dimension of fractured surfaces: a universal value ?”Europhys. Lett. 13, 73, (1990)

    CAS  Google Scholar 

  5. Måløy K. J., Hansen A., Hinrichsen E.L., and Roux S., “Experimental measurements of the roughness of brittle cracks”, Phys. Rev. Lett. 68, 213, (1992)

    Article  Google Scholar 

  6. Daguier P., Nghiem B., Bouchaud E. and Creuzet F., “Pinning and depinning of crack fronts in heterogeneous materials”Phys. Rev. Lett. 78, 1062, (1997)

    Article  CAS  Google Scholar 

  7. Bouchaud J. P., Bouchaud E., Lapasset G., and Planès J., “Models of fractal cracks”, Phys. Rev. Lett. 71, 2240 (1993)

    Article  Google Scholar 

  8. Erta D. and Kardar M., “Dynamic roughening of directed lines”, Phys. Rev. Lett. 69 929, (1992)

    Article  Google Scholar 

  9. Erta. D. and Kardar M., “Dynamic relaxation of drifting polymers: a phenomenological approach”, Phys. Rev. E 48, 1228, (1993)

    Article  Google Scholar 

  10. Movchan A. B. and Willis J. R., “Dynamic weight functions for a moving crack. I Mode I loading”, J. Mech. Phys. Solids 43, 319, (1995); Movchan A. B. and Willis J. R., “Dynamic weight functions fora moving crack. II Shear loading”, J. Mech. Phys. Solids 43, 319, (1995)

    Google Scholar 

  11. Rice J. R., Ben-Zion Y., and Kim K. S., “Three dimensional perturbation solution for a dynamic planar crack moving unsteadily ina model elastic solid”, J. Mech. Phys. S.lids 42, 813, (1994); Perrin G. and Rice J. R., “Disordering of a planar crack front in a model elastic medium of randomly variable toughness”, J. Mech. Phys. Solids 42, 1047, (1994)

    Google Scholar 

  12. Vandembroucq D. and Roux S., “Mode III stress intensity factor ahead of a rough crack”, J. Mech. Phys. Solids 45 853–872, (1997)

    Article  Google Scholar 

  13. Vandembroucq D. and Willis J. R., in preparation

    Google Scholar 

  14. Kertész J., Horváth V., and Weber F., “Self-affine rupture lines in paper sheets”, Fractals 1, 67, (1993)

    Article  Google Scholar 

  15. Engoy T., M5.10y K. J., Hansen A. and Roux S., “The roughness of two-dimensional cracks in wood”, Phys. Rev. Lett. 73, 834, (1994)

    Article  Google Scholar 

  16. Gao H. and Rice J. R., “A first order perturbation analysis of crack trappingby arrays of obstacles”, J. Appl. Mech. 56, 828, (1989)

    Article  Google Scholar 

  17. Bak P., Tang C. and Wiesenfeld K., “Self-organised criticality: an explanation of1/f noise”, Phys. Rev. Lett. 59, 381, (1987)

    Article  Google Scholar 

  18. Giamarchi T. and Le Doussal P., “Statics and dynamics of disordered elastic systems”, to be published in “Spin Glasses and random fields” ed. Young A. P., World Sci., ( Singapore, 1997 )

    Google Scholar 

  19. Caroli C. and Nozières P., “Dry friction as a hysteretic elastic response”, in “The physics of sliding friction”, Persson B. N. ed., (1995)

    Google Scholar 

  20. Schmittbuhl J., Roux S., Vilotte J. P. and Måløy K. J., “Pinning of interfacial crack: Effect of non-local interactions”, Phys. Rev. Lett. 74, 1787 (1995)

    Article  CAS  Google Scholar 

  21. Erta. D. and Kardar M., “Critical dynamics of contact line depinning”, Phys. Rev. E 49, R2532, (1994)

    Article  Google Scholar 

  22. Sneppen K., “Self-organized pinning and interface growth in a random medium”, Phys. Rev. Lett. 69 3539, (1992)

    Article  Google Scholar 

  23. Paczuski M., Maslov S. and Bak P., “Avalanche dynamics in evolution, growth and depinning models”, Phys. Rev. E 53 414, (1995)

    Article  Google Scholar 

  24. Roux S. and Hansen A., “Interface roughening and pinning”, J. Physique 4 515, (1994)

    Article  Google Scholar 

  25. Schmittbuhl J. and Måløy K. J., “Direct observation of a self-affine crack propagation”, Phys. Rev. Lett. 78, 3888, (1997)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Tanguy, A., Gounelle, M., Roux, S. (1998). Crack Roughness. In: Frantziskonis, G.N. (eds) PROBAMAT-21st Century: Probabilities and Materials. NATO ASI Series, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5216-7_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5216-7_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6196-4

  • Online ISBN: 978-94-011-5216-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics