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Stochastic processes in creep cavitation

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Abstract

The deterministic as well as stochastic aspects of creep cavitation as they are manifested in cavity size distributions are investigated. Assuming continuous nucleation of grain boundary cavities at a constant rate, expected shapes of size distributions are derived for quasi-equilibrium diffusive, crack-like diffusive, and plastic cavity growth. Experimental size distributions are often quite different from anticipated ones. It is nevertheless possible to verify the rate-controlling cavity growth mechanism by numerically solving integral equations for successive experimental size distributions. This technique is illustrated for three different growth mechanisms. Several previously-used approaches to incorporate internal stresses into the evolution of size distributions are reviewed. Assuming that the growth law can be firmly established, possible methods to derive either internal stress distributions or coalescence rates from analyses of size distributions are discussed.

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Authors and Affiliations

  1. Metals and Ceramics Division, Oak Ridge National Laboratory, Building 4500-S, Mail Stop 116, P. O. Box X, 37831-6116, Oak Ridge, TN

    J. H. Schneibel (Research Staff Member)

  2. Instituto de Física, Universidad Nacional Autónoma de México (UNAM), Apdo. Postal 139-B, 62190, Cuernavaca, Morelos, Mexico

    L. Martinez

Authors
  1. J. H. Schneibel
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  2. L. Martinez
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Additional information

This paper is based on a presentation made at the symposium “Stochastic Aspects of Fracture” held at the 1986 annual AIME meeting in New Orleans, LA, on March 2-6, 1986, under the auspices of the ASM/MSD Flow and Fracture Committee.

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Schneibel, J.H., Martinez, L. Stochastic processes in creep cavitation. Metall Trans A 18, 1835–1842 (1987). https://doi.org/10.1007/BF02647013

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