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Application of the finite volume method to the analysis of dynamic fracture problems

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Abstract

A detailed description of a new numerical method for the solution of dynamic fracture problems is presented. The method employs finite volume discretization of the equilibrium equations.

The present work considers the analysis of rapid crack propagation (RCP) in two-dimensional geometries only. The simulation of steady-state RCP in a peeling-strip geometry, and an economical approach which allows the calculation of the crack driving force from a ‘snapshot’ computation of the displacement field are described. Also presented is the modelling of transient RCP in single edge notch tensile specimens, based on a fixed-mesh ‘node release’ technique and a ‘holding back’ force concept. It is shown that finite volume results are in very good agreement with both analytical and finite element predictions. The accuracy, simplicity and efficiency of this novel method are also demonstrated.

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References

  1. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw Hill (1980).

  2. I.Demirdzic, and M.Peric, International Journal of Numerical Methods in Fluids 10 (1990) 771.

    Google Scholar 

  3. I.Demirdzic, D.Martinovic and A.Ivankovic, Zavarivanje 31 (1988) 209, in Croatian.

    Google Scholar 

  4. I.Demirdzic and D.Martinovic, Computational Methods in Applied Mechanics and Engineering, 109 (1993) 331.

    Google Scholar 

  5. P.S. Leevers, G. Venizelos and A. Ivankovic, Plastic Pipes VIII, D1/7 (1992).

  6. J.G. Williams, in The Energetics of Fracture, The Griffith Centenary Meeting, The Institute of Materials, London (1993) 96.

  7. A. Ivankovic, Ph.D. thesis, University of London, Imperial College (1991).

  8. P.N.R. Keegstra, J.L. Head and C.E. Turner, Numerical Methods in Fracture Mechanics (1978) 634.

  9. B. Crouch, Ph.D. thesis, University of London, Imperial College (1986).

  10. G. Yagawa, Y. Sakai and Y. Ando, Fast Fracture and Crack Arrest, ASTM STP 627 (1977) 109.

  11. J.F. Malluck and W.W. King, Crack Arrest Methodology and Applications, ASTM STP 711 (1980) 38.

  12. L. Hodulak, A.S. Kobayashi and A.F. Emery, Fracture Mechanics: 12th Conference, ASTM STP 627 (1980) 177.

  13. B.K. Broberg (ed.), Recent Progress in Applied Mechanics, Wiley (1967) 125.

  14. I. Demirdzic and S. Muzaferija, Numerical Methods in Engineering, submitted for publication.

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Authors and Affiliations

  1. Mechanical Engineering Department, Imperial College of Science, Technology and Medicine, SW7 2BX, London, U.K.

    A. Ivankovic, I. Demirdzic, J. G. Williams & P. S. Leevers

Authors
  1. A. Ivankovic
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  2. I. Demirdzic
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  3. J. G. Williams
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  4. P. S. Leevers
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Ivankovic, A., Demirdzic, I., Williams, J.G. et al. Application of the finite volume method to the analysis of dynamic fracture problems. Int J Fract 66, 357–371 (1994). https://doi.org/10.1007/BF00018439

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  • DOI: https://doi.org/10.1007/BF00018439

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