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International Journal of Fracture

, Volume 134, Issue 1, pp 1–22 | Cite as

Dynamic crack response to a localized shear pulse perturbation in brittle amorphous materials: on crack surface roughening

  • D. BonamyEmail author
  • K. Ravi-Chandar
Article

Abstract

Linear Elastic Fracture Mechanics (LEFM) provides a coherent framework to evaluate quantitatively the energy flux released at the tip of a growing crack. However, the way in which the crack chooses its path in response to this energy flux remains far from completely understood: the growing crack creates a structure on its own as conveyed by crack surface roughening even in brittle amorphous materials such as glass. We report here experiments designed to uncover the primary cause of surface roughening in brittle amorphous materials. Therefore, we investigate the response of a growing crack to local perturbation introduced as a shear wave pulse of controlled duration, amplitude, frequency and polarization. This pulse is shown to induce a local mode III perturbation in the loading of the crack front, which makes it twist locally, without fragmenting. This response is linear both in amplitude and frequency with respect to the perturbation, and disappears with it. We also show that shear wave pulses are emitted when the propagating crack encounters the heterogeneity. Implications of these observations for possible sources of roughening are finally discussed.

Keywords

Acoustic waves brittle fracture crack front waves roughening Wallner lines 

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References

  1. Ben-Zion, Y., Morrissey, J.W. 1995A simple rederivation of logarithmic disordering of a dynamic planar crack due to small random heterogeneitiesJournal of the Physics and Mechanics of Solids4313631368CrossRefGoogle Scholar
  2. Bergvist, H. 1974Some experiments on crack motion and arrest in polymethylmethacrylateEngineering Fracture Mechanics6621626CrossRefGoogle Scholar
  3. Bonamy, D., Ravi-Chandar, K. 2003Interaction of shear waves and propagating cracksPhysical Review Letters9123550214CrossRefPubMedGoogle Scholar
  4. Bonamy, D., Ravi-Chandar, K. 2004Reply on: interaction of shear waves and propagating cracksPhysical Review Letter930996021CrossRefGoogle Scholar
  5. Bouchaud, E. 1997Scaling properties of cracksJournal of Physics (Condensed Matter)94319CrossRefGoogle Scholar
  6. Bouchaud, E., Bouchaud, J.P., Fisher, D.S., Ramanathan, S., Rice, J.R. 2000Can crack front waves explain roughness of cracksJournal of the Mechanics and Physics of Solids501703CrossRefGoogle Scholar
  7. Boudet, J.F., Ciliberto, S., Steinberg, V. 1998Dynamics of crack propagation in brittle materialsJournal de Physique II614931516CrossRefGoogle Scholar
  8. Boudet, J.F., Ciliberto, S. 1998Interaction of sound with fast crack propagationPhysical Review Letters80341344CrossRefGoogle Scholar
  9. Carlsson, J., Dahlberg, L., Nilsson, F. 1973Experimental studies of the unstable phase of crack propagation in metals and polymersSih, G.C. eds. Dynamic Crack PropagationNoordhoff International PublishingLeyden165181Google Scholar
  10. Field, J.E. 1971Brittle fracture: its study and applicationsContemporary Physics24131Google Scholar
  11. Fineberg, J., Gross, S., Marder, M., Swinney, H. 1992Instability in the propagation of fast cracksPhysical Review B4551465154CrossRefGoogle Scholar
  12. Freund, L.B. 1990Dynamic Fracture MechanicsCambridge University PressCambridgeGoogle Scholar
  13. Griffith, A.A. 1920The phenomena of rupture and flow in solidsPhilosophical Transaction of the Royal Society of London A221163Google Scholar
  14. Gross, S.P., Fineberg, J., Marder, M., Swinney, H.L. 1993Acoustic emission from rapidly moving cracksPhysical Review Letters7131623165CrossRefPubMedGoogle Scholar
  15. Holland, D., Marder, M. 1998Ideal brittle fracture of silicon studied with molecular dynamicsPhysical Review Letter80746749CrossRefGoogle Scholar
  16. Irwin, G.R. 1958FractureIn: Handbuch der Physik, Vol. 6Spinger-VerlagBerlin551Google Scholar
  17. Kerhkof, F. 1973Wave fractographic investigation of brittle fracture dynamicsSih, G.C. eds. Dynamic Crack PropagationNoordhoff International PublishingLeyden335Google Scholar
  18. Lund, F. 1996Elastic forces that do not work and the dynamics of fast cracksPhysical Review Letter7627422745CrossRefGoogle Scholar
  19. Mandelbrot, B. 1984Fractal character of fracture surfaces of metalsNature (London)308721CrossRefGoogle Scholar
  20. Morrissey, J.W., Rice, J.R. 1998Crack front wavesJournal of the Mechanics and Physics of Solids46467487CrossRefGoogle Scholar
  21. Morrissey, J.W., Rice, J.R. 2000Perturbative simulations of crack front wavesJournal of the Mechanics and Physics of Solids4812291251CrossRefGoogle Scholar
  22. Nghiem B. (1998). Fracture du verre et Hétérogénéités à l’échelle submicrométrique. PhD. Thesis, University of Paris VIGoogle Scholar
  23. Orowan, E. 1955Energy Criteria of FractureEnergy Criteria of Fracture34157Google Scholar
  24. Perrin, G., Rice, J.R. 1994Disordering of a dynamic planar crack in a model elastic medium of randomly variable toughnessJournal of the Physics and Mechanics of Solids4210471064CrossRefGoogle Scholar
  25. Ponpon, J.-P., Montgomery, P.C., Sieskind, M., Aman, M. 2000Photoetching effects in mercuric iodideApplied Surface Science165233240CrossRefGoogle Scholar
  26. Ramanathan, S., Fisher, D.S. 1997Dynamics and instabilities of planar tensile cracks in heterogeneous mediaPhysical Review Letter79877880CrossRefGoogle Scholar
  27. Ravi-Chandar, K., Knauss, W.G. 1984An experimental investigation into dynamic fracture-I Crack initiation and crack arrestInternational Journal of Fracture25247262CrossRefGoogle Scholar
  28. Ravi-Chandar, K., Knauss, W.G. 1984An experimental investigation into dynamic fracture-II Microstructural aspectsInternational Journal of Fracture266580CrossRefGoogle Scholar
  29. Ravi-Chandar, K., Knauss, W.G. 1984An experimental investigation into dynamic fracture-III On steady-state crack propagation and crack branchingInternational Journal of Fracture26141154CrossRefGoogle Scholar
  30. Ravi-Chandar, K., Knauss, W.G. 1984An experimental investigation into dynamic fracture-III. On the interaction of stress waves with propagating cracksInternational Journal of Fracture26189200CrossRefGoogle Scholar
  31. Ravi-Chandar, K. 1998Dynamic fracture in nominally brittel materialsInternational Journal of Fracture4283102CrossRefGoogle Scholar
  32. Rice, J.R., Ben-Zion, Y., Kim, K.S. 1994Three dimensionnal perturbation solution for a dynamic crack moving unsteadily in a model elsastic solidJournal of the Physics and Mechanics of Solids42813843CrossRefGoogle Scholar
  33. Richter, H.G., Kerhkof, F. 1994Stress wave fractographyBradt, R.C.Tressler, R.E. eds. Fractography in GlassPlenum PressNew York75109Google Scholar
  34. Sharon, E., Cohen, G., Fineberg, J. 2001Propagating Solitary waves along a rapidly moving crack frontNature4106871CrossRefPubMedGoogle Scholar
  35. Sharon E., Cohen G., Fineberg J. (2002). Crack front waves and the dynamics of a rapidly moving crack. Physical Review Letters 88(8), art. no.–085503Google Scholar
  36. Sharon, E., Cohen, G., Fineberg, J. 2004Comment on : interaction of shear waves and propagating cracksPhysical Review Letter930996011CrossRefGoogle Scholar
  37. Sommer, E. 1969Formation of fracture lances in glassEngineering Fracture Mechanics1539546CrossRefGoogle Scholar
  38. Su, X., Chen, W. 2001Fourier transform profilometry: a reviewOptics and Lasers in Engineering35263284CrossRefGoogle Scholar
  39. Wallner, H. 1939Linenstrukturen an BruchflächenZeitschrift fur Physik114368378CrossRefGoogle Scholar
  40. Willis, J.R., Mochvan, A.B. 1995Dynamic weight functions for a moving crack. I. Mode I loadingJournal of the Mechanics and Physics of Solids43319341CrossRefGoogle Scholar
  41. Willis, J.R., Mochvan, A.B. 1997Three dimensionnal dynamic perturbation of a dynamic propagating crackJournal of the Mechanics and Physics of Solids45591CrossRefGoogle Scholar
  42. Yang, B., Ravi-Chandar, K. 2001Crack path instabilities in a quenched glass plateJournal of the Mechanics and Physics of Solids4291130CrossRefGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Center for Mechanics of Solids, Structures and Materials, Department of Aerospace Engineering and Engineering MechanicsUniversity of TexasAustinUSA
  2. 2.Service de Physique et Chimie des Surfaces et InterfacesDSM/DRECAM/SPCSI, CEA SaclayGif sur YvetteFrance

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