Keywords
cubic polycrystals, force balance, Free energy, Grain boundaries, triple junctions
Abstract
This work was supported primarily by the MRSEC Program of the National Science Foundation under Award Number DMR-9632556. Analysis is described to extract the excess free energy of grain boundaries from the mesotexture of well-equilibrated polycrystalline samples. The approach is based upon the force and torque balances at triple junctions described in the classical work of Herring. The main advantage of the approach is that the free energy function is obtained over the full fundamental zone of grain boundary types. For the purposes of exposition, the method is described for specified two-parameter hypersurfaces in the fundamental zone for cubic polycrystals (the sets of pure <100> and <111> tilt boundaries) and the free energy is assumed to depend only upon the lattice misorientation. Results from testbed simulations are presented.
Original Publication Citation
Materials Research Society Symposium Proc. Vol. 472 p. 15-111, 1997
BYU ScholarsArchive Citation
Adams, Brent L.; Costiner, S.; Kinderlehrer, D.; Mullins, W. W.; and Ta'asan, Shlomo, "Extracting the Grain Boundary Character/Free Energy Relationship from the Microstructure: Pure <100> and <111> Tilt Boundaries" (1997). Faculty Publications. 1137.
https://scholarsarchive.byu.edu/facpub/1137
Document Type
Peer-Reviewed Article
Publication Date
1997-01-01
Permanent URL
http://hdl.lib.byu.edu/1877/109
Publisher
Materials Research Society
Language
English
College
Ira A. Fulton College of Engineering and Technology
Department
Mechanical Engineering
Copyright Status
© 2006 Brent L. Adams, S. Costiner, D. Kinderlehrer, W.W. Mullins, and Shlomo Ta'asan
Copyright Use Information
http://lib.byu.edu/about/copyright/