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Interfacial crack front wandering: influence of quenched noise correlations

Author

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  • Schmittbuhl, Jean
  • Vilotte, Jean-Pierre

Abstract

We discuss the influence of spatially correlated noise on the wandering exponent of the crack-front line during slow in-plane crack propagation. For a uniform noise, the wandering exponent in the stastically stationary regime is .35±0.02, while the dynamic exponent is z=0.75±0.02. For short-range Gaussian correlations, the wandering exponent is shown to be .50±0.03 in the small fluctuation limit and .35±0.02 in the large fluctuation limit which can be shown to be consistent with the uniform case. In the case of long-range correlations, characterized by a self-affine exponent ζt, the wandering exponent is shown to scale as ζt+1 for a wide range of ζt between −1.0 and +1.0. These results are discussed with reference to recent experiments of slow in-plane crack propagation between two annealed Plexiglas blocks.

Suggested Citation

  • Schmittbuhl, Jean & Vilotte, Jean-Pierre, 1999. "Interfacial crack front wandering: influence of quenched noise correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 42-56.
    • Handle: RePEc:eee:phsmap:v:270:y:1999:i:1:p:42-56
    DOI: 10.1016/S0378-4371(99)00155-7
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