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On the propagation velocity of a straight brittle crack

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Abstract

A non-equilibrium description of the crack propagation in the framework of the material setting is applied to the straight-through crack in brittle materials. The velocity of the crack is determined in terms of the driving force by means of non-equilibrium jump relations at the crack front. Theoretical results are compared with experimental data for Homalite-100.

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References

  • Atkinson C, Eshelby JD (1968) The flow of energy into the tip of a moving crack. Int J Fract 4:3–8

    Article  Google Scholar 

  • Berezovski A, Maugin GA (2004) On the thermodynamic conditions at moving phase-transition fronts in thermoelaric solids. J Non-Equilib Thermodyn 29:37–51

    Article  MATH  Google Scholar 

  • Berezovski A, Maugin GA (2005) On the velocity of moving phase boundary in solids. Acta Mech 179:187–196

    Article  MATH  Google Scholar 

  • Dally JW (1979) Dynamic photoelastic studies of fracture. Exp Mech 19(1979): 349–361

    Article  Google Scholar 

  • Fineberg J, Marder M (1999) Instability in dynamic fracture. Phys Rep 313:1–108

    Article  ADS  MathSciNet  Google Scholar 

  • Freund LB (1972) Energy flux into the tip of an extending crack in an elastic solid. J Elast 2:341–349

    Google Scholar 

  • Freund LB (1990) Dynamic fracture mechanics. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Hauch JA, Marder MP (1998) Energy balance in dynamic fracture, investigated by a potential drop technique. Int J Fract 90:133–151

    Article  Google Scholar 

  • Kobayashi AS, Mall S (1978) Dynamic fracture toughness of Homalite-100. Exp Mech 18:11–18

    Article  Google Scholar 

  • Kostrov BV, Nikitin LV (1970) Some general problems of mechanics of brittle fracture. Arch Mechan Stosowanei 22:749–775

    MATH  Google Scholar 

  • Maugin GA (1993) Material inhomogeneities in elasticity. Chapman and Hall, London

    MATH  Google Scholar 

  • Maugin GA (1994) On the J-integral and energy-release rates in dynamical fracture. Acta Mech 105:33–47

    Article  MATH  MathSciNet  Google Scholar 

  • Maugin GA (1997) Thermomechanics of inhomogeneous – heterogeneous systems: application to the irreversible progress of two- and three-dimensional defects. ARI – Int J Phys Eng Sci 50:41–56

    Google Scholar 

  • Maugin GA (2000) On the universality of the thermomechanics of forces driving singular sets. Arch Appl Mech 70:31–45

    Article  MATH  Google Scholar 

  • Muschik W, Berezovski A (2004) Thermodynamic interaction between two discrete systems in non-equilibrium. J Non-EquilibThermodyn 29:237–255

    Article  MATH  Google Scholar 

  • Ravi-Chandar K (2004) Dynamic fracture. Elsevier, Amsterdam

    Google Scholar 

  • Ravi-Chandar K, Knauss WG (1984) An experimental investigation into dynamic fracture. III. On steady state crack propagation and crack branching. Int J Fract 26:141–154

    Article  Google Scholar 

  • Réthoré J, Gravouil A, Combescure A (2004) A stable numerical scheme for the finite element simulation of dynamic crack propagation with remeshing. Comput Meth Appl Mech Eng 193:4493–4510

    Article  MATH  Google Scholar 

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Correspondence to Arkadi Berezovski.

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Berezovski, A., Maugin, G.A. On the propagation velocity of a straight brittle crack. Int J Fract 143, 135–142 (2007). https://doi.org/10.1007/s10704-007-9053-x

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  • DOI: https://doi.org/10.1007/s10704-007-9053-x

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