On Cyclical Phase Transformations in Driven Alloy Systems: A Mass- Action Kinetics Approach

Document Type

Conference Proceeding

Publication Date

3-15-2007

Department

Department of Materials Science and Engineering

Abstract

Cyclical phase transformations occurring under externally driven conditions, such as mechanical alloying, are treated in terms of coupled chemical reactions between participant phases. As a conceptual case, microstructural evolution of a driven system is expressed in terms of simplified chemical reaction. By utilizing law of mass action, two independent differential equations are derived for time-dependent phase concentrations. A stability analysis for the rate equations shows that temporal oscillations in phase concentrations result from an interplay of a non-linear autocatalytic reaction. A limit cycle representing sustained, undamped oscillations is also possible with the model.

Publication Title

Materials Science Forum

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