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Running penny-shaped crack in an infinite elastic solid under torsion

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Abstract

This paper is concerned with the problem of a running penny-shaped crack in an infinite elastic solid under torsion. A basic formulation for an arbitrary velocity crack is given. As an illustrative example, the penny-shaped crack is assummed to expand at a constant velocity. For a constant-speed crack, the crack shape is explicitly obtained in exact expression easily comparable to the associated static solution.

Résumé

L'étude est relative au problème de la propagation d'une fissure circulaire noyée dans un solide élastique infini soumis à torsion. On fournit une formulation de base, correspondant à une vitesse arbitraire de développement. A titre d'exemple, on suppose qu'une fissure circulaire s'étend suivant une vitesse constante. Dans ce cas, la forme de la fissure est obtenue selon une forme explicite, dont l'expression est aisément comparable à celle correspondant à une solution statique.

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References

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Author notes

  1. M. E. Erguven

    Present address: Department of Mechanical Engineering, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

Authors and Affiliations

  1. Civil Engineering Faculty, Istanbul Technical University, Istanbul, Turkey

    M. E. Erguven

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  1. M. E. Erguven
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Erguven, M.E. Running penny-shaped crack in an infinite elastic solid under torsion. Int J Fract 29, 135–142 (1985). https://doi.org/10.1007/BF00034314

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  • DOI: https://doi.org/10.1007/BF00034314

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