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Predictive capabilities of the dislocation-network theory of Harper-Dorn creep

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Abstract

The dislocation-network theory of Harper-Dorn (H-D) creep is reformulated using a new equation for the kinetics of growth of individual dislocation links in the network. The new kinetic equation has no impact on the scaled differential equation derived previously, which predicts the distribution of link lengths. However, the new theory predicts slightly different behavior for the kinetics of static recovery and leads to a new equation for the strain rate, which is expressed in terms of parameters that can be evaluated independently. This equation is valid not only for steady-state H-D creep, but is also valid for primary creep, provided the instantaneous value of the dislocation density is known. Using data on the variation of dislocation density with time, calculated values of the creep rates for Al deformed in the H-D regime agree with experimentally measured values to within a factor of 2. Creep curves for Al are calculated with the same degree of accuracy. These calculations involve no adjustable parameters. Steady-state creep rates for many materials presumably deformed in the H-D creep regime are compared with the predictions of the new equation for the strain rate. The calculated values agree with experimentally measured data to within a factor of about 150, which compares well with the predictions of other equations proposed in the literature.

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Authors and Affiliations

  1. the Department of Materials Science and Engineering, University of California, 90095, Los Angeles, CA

    M. A. Przystupa (Adjunct Professor) & A. J. Ardell (Professor)

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  1. M. A. Przystupa
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  2. A. J. Ardell
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Additional information

This article is based on a presentation made in the workshop entitled “Mechanisms of Elevated Temperature Plasticity and Fracture,” which was held June 27–29, 2001, in San Diego, CA, concurrent with the 2001 Joint Applied Mechanics and Materials Summer Conference. The workshop was sponsored by Basic Energy Sciences of the United States Department of Energy.

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Przystupa, M.A., Ardell, A.J. Predictive capabilities of the dislocation-network theory of Harper-Dorn creep. Metall Mater Trans A 33, 231–239 (2002). https://doi.org/10.1007/s11661-002-0085-6

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