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Metallurgical and Materials Transactions A
Published in: Metallurgical and Materials Transactions A 12/2010

01-12-2010

Analysis of Deformation Kinetics in Seven Body-Centered-Cubic Pure Metals Using a Two-Obstacle Model

Author: Paul S. Follansbee

Published in: Metallurgical and Materials Transactions A | Issue 12/2010

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Abstract

Published temperature and strain-rate-dependent yield stress data in seven nominally pure bcc metals are analyzed according to a two-obstacle model. A strong intrinsic lattice resistance such as a Peierls barrier and a weaker obstacle representing the collective effects of impurity constituents are combined in a single expression and fit to the individual data sets. Sensitivity of the model fits to selected model parameters is assessed. The activation volume for each obstacle is evaluated and examined to validate the underlying model assumptions. Application of the model demonstrates a consistent Peierls barrier in all seven metals and a reasonable carbon-content dependence in iron of the strength of the impurity obstacle.
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Footnotes
1
The polynomial fit is a less than ideal representation but serves the purpose of illustrating the subtle differences between fits 1 through 3.
 
2
As will be shown in Figure 9, the activation volumes between the seven bcc metals analyzed here vary by approximately a factor of 4, which puts into perspective this 35 pct variation in Nb.
 
3
The difference between theoretical predictions and experimental measurements is typically an order of magnitude or more rather than the ~25 pct error accompanying this oversight.
 
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Metadata
Title
Analysis of Deformation Kinetics in Seven Body-Centered-Cubic Pure Metals Using a Two-Obstacle Model
Author
Paul S. Follansbee
Publication date
01-12-2010
Publisher
Springer US
Published in
Metallurgical and Materials Transactions A / Issue 12/2010
Print ISSN: 1073-5623
Electronic ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-010-0372-6

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