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Stress Intensity Controlled Kinetic Crack Growth and Stress History Dependent Life Prediction with Statistical Variability

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Abstract

Consistent with viscoelastic behavior, a power law form in terms of the stress intensity factor is used to specify crack kinetics (growth rate) in the central crack problem under Mode I conditions. The crack growth rate is integrated to obtain the crack size and thereby the stress intensity factor as a function of time. The crack is allowed to grow in a controlled, load dependent manner until it reaches the size at which it becomes unstable. The corresponding time at which this occurs is taken as the lifetime of the material under the specified load history. The special cases of constant load (creep rupture) and constant strain rate to failure are found to have a very simple relationship with each other. This lifetime relationship is verified through the comparison with corresponding data upon a polymeric composite. Finally the creep rupture case is generalized to a probabilistic formalism. The theoretically predicted lifetime distribution functions are verified with data, also upon a polymeric composite. Possible extension of the entire formalism to cyclic fatigue in metals is discussed.

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, Stranford University, Durand Building, 496 Lomita Mall, Stanford, CA, 947305-4035, USA

    Richard Christensen

  2. Materials System Research Laboratory, Kanazawa Institute of Technology, 3-1 Yatsukaho, Matto Ishikawa, 924–0838, Japan

    Yasushi Miyano

Authors
  1. Richard Christensen
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  2. Yasushi Miyano
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Correspondence to Richard Christensen.

Additional information

Dedicated to Professor Z.P. Bažant for his many contributions.

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Christensen, R., Miyano, Y. Stress Intensity Controlled Kinetic Crack Growth and Stress History Dependent Life Prediction with Statistical Variability. Int J Fract 137, 77–87 (2006). https://doi.org/10.1007/s10704-005-9062-6

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  • DOI: https://doi.org/10.1007/s10704-005-9062-6

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