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The flow of energy into the tip of a moving crack

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Abstract

A modification of Craggs' method for calculating the flow of energy into the tip of a moving crack is proposed. For a plane crack extending uniformly at both ends the flow falls to zero at the Rayleigh velocity, contrary to Craggs' result, but in agreement with that of Broberg.

Résumé

On propose une modification de la méthode de Craggs pour calculer le flux d'énergie qui entre dans l'extrémité dúne fissure en mouvement. Pour une fissure à deux dimensions dont les extrémités se propagent uniformément en directions contraires le flux se réduit à zéro à la vitesse d'ondes de Rayleigh. Cc résultat est en accord avec celui de Broberg, mais non avec celui de Craggs.

Zusammenfassung

Eine Modifikation des Craggs'schen Verfahrens zur Berechnung des Energieflusses in die Spitze eines sich bewegenden Risses wind vorgeschlagen. Im Fall eines zweidimensionalen Risses, dessen beide Enden gleichmässig auswärts laufen, findet an; days der Fluss bei der Geschwindigkeit der Rayleighwellen Null wird. Dieses Resultat stimmt mit der Behauptung von Broberg überein, aber mit dem Schluss von Craggs nicht.

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References

  1. Craggs, J.W. Fracture of Solids, Interscience, New York, 1963, p. 51.

    Google Scholar 

  2. Broberg, K.B.Arkiv för Fysik, 18,159 (1960).

    Google Scholar 

  3. Love, A.E.H. The Mathematical Theory of Elasticity, Cambridge University Press, 1927, p. 177.

  4. Bilby, B.A. and Eshelby, J.D. A Treatise on Fracture, ed. H. Liebowitz, Wiley, New York, 1968.

  5. Eshelby, J.D. Solid State Physics, 3, 79 (ed. Seitz and Turnbull, Academic Press, New York), 1956; also, Phil. Trans., A 244, 87 (1951).

  6. Sanders, J.L. J. Appl. Mech., 27, 352 (1960).

    Google Scholar 

  7. Yoffe, E.H. Phil. Mag. 42, 739 (1951).

    Google Scholar 

  8. Broberg, K.B. J. Appl. Mech., 31, 546.

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Authors and Affiliations

  1. Department of the Theory of Materials, University of Sheffield, Sheffield, England

    C. Atkinson & J. D. Eshelby

Authors
  1. C. Atkinson
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  2. J. D. Eshelby
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Atkinson, C., Eshelby, J.D. The flow of energy into the tip of a moving crack. Int J Fract 4, 3–8 (1968). https://doi.org/10.1007/BF00189137

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  • DOI: https://doi.org/10.1007/BF00189137

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