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Thermal fracture as a framework for quasi-static crack propagation

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Abstract

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using only the principle of local symmetry and the Griffith criterion. We then argue that the calculations of the stress intensity factors can be combined with the standard crack propagation criteria to obtain the evolution equation for the crack tip within any loading configuration. The theoretical results of the thermal crack problem agree with the numerical simulations we performed using a phase field model. Moreover, it turns out that the phase-field model allows to clarify the nature of the transition between straight and oscillatory cracks which is shown to be supercritical.

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Authors and Affiliations

  1. Laboratoire de Physique Statistique, ENS, Paris VI, Paris VII, CNRS, 24 rue Lhomond, 75005, Paris, France

    F. Corson, M. Adda-Bedia & E. Katzav

  2. Laboratoire de Physique de la Matière condensée, CNRS UMR7643, Ecole Polytechnique, 91128, Palaiseau Cedex, France

    H. Henry

Authors
  1. F. Corson
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  2. M. Adda-Bedia
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  3. H. Henry
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  4. E. Katzav
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Correspondence to E. Katzav.

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Corson, F., Adda-Bedia, M., Henry, H. et al. Thermal fracture as a framework for quasi-static crack propagation. Int J Fract 158, 1–14 (2009). https://doi.org/10.1007/s10704-009-9361-4

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  • DOI: https://doi.org/10.1007/s10704-009-9361-4

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