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Coble creep



  Coble Creep is named after Robert L. Coble, who first reported his theory of how materials creep over time in 1962 in the Journal of Applied Physics[1] . Coble Creep occurs through the diffusion of atoms in a material along the grain boundaries, which produces a net flow of material and a sliding of the grain boundaries. The strain rate in a material experiencing Coble Creep is given by:


\frac{d\epsilon}{dt}= \frac{\sigma}{d^3} D_{gb} e^{-Q_{Coble}/RT}

where

  • σ is the applied stress
  • d is the average grain boundary diameter
  • Dgb is the diffusion coefficient in the grain boundary
  • QCoble is the activation energy for Coble Creep
  • R is the molar gas constant
  • T is the temperature in Kelvin

Note that in Coble Creep, the strain rate \frac{d\epsilon}{dt} is proportional to the applied stress σ; the same relationship is found for Nabarro-Herring Creep. However, the two mechanisms differ in their relationship between the strain rate and grain size d. In Coble Creep, the strain rate is proportional to d − 3, whereas the strain rate in Nabarro-Herring Creep is proportional to d − 2. Researchers commonly use these relationships to determine which mechanism is dominant in a material; by varying the grain size and measuring how the strain rate is affected, they can determine the value of n in \frac{d\epsilon}{dt}~\alpha  ~d^n and conclude whether Coble or Nabarro-Herring Creep is dominant[1].


References

(1) Meyers and Chawla (1999): "Mechanical Behavior of Materials," 555-557.

 
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Coble_creep". A list of authors is available in Wikipedia.
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