Thermodynamic treatment of cyclic amorphization during ball milling
Document Type
Article
Publication Date
11-2006
Department
Department of Materials Science and Engineering
Abstract
Thermodynamic balance equations are written to describe the time evolution of a two-phase, crystal-amorphous element of material undergoing ball milling. The state of the microstructure is determined by the phase fraction, deformation state of each phase, and the temperature. Three steady-state solutions are obtained. The stability of the solutions are analyzed and it is shown that, for various combinations of materials parameters and rate constants, the solutions can be asymptotically stable spiral points which indicate cyclic amorphization behavior. Results are presented in terms of bifurcation diagrams for the phase fraction as a function of milling power.
Publication Title
Acta Materialia
Recommended Citation
Johnson, W.,
Lee, J.,
&
Shiflet, G.
(2006).
Thermodynamic treatment of cyclic amorphization during ball milling.
Acta Materialia,
54(19), 5123-5133.
http://doi.org/10.1016/j.actamat.2006.05.052
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5883