A Simple, Mixtures-Based Model for the Grain Size Dependence of Strength in Nanophase Metals

Authors

J. E. Carsley, Michigan Technological University
J. Ning, Michigan Technological University
Walter W. Milligan, Michigan Technological UniversityFollow
Stephen A. Hackney, Michigan Technological UniversityFollow
Elias C. Aifantis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

5-1995

Department

Department of Materials Science and Engineering; Department of Mechanical Engineering-Engineering Mechanics

Abstract

A model is presented for the strength of nanophase metals. The model assumes that polycrystalline metals consist of two phases: the "bulk" intragranular regions, and the "grain boundaries". The boundary phase is treated as a glassy, but not highly rate-dependent material with a constant strength equal to that of the amorphous metal. The crystalline phase is assumed to follow a Hall-Petch equation for the grain-size dependence of strength. Treating the material as a composite, with a rule of mixtures approach, predicts a change in the Hall-Petch slope at small grain sizes, as has been observed. Grain size softening is predicted, but not until sizes below 5 nm. The model is compared to data in the literature.

Publisher's Statement

© 1995

Publication Title

Nanostructured Materials

Recommended Citation

Carsley, J., Ning, J., Milligan, W. W., Hackney, S. A., & Aifantis, E. C. (1995). A Simple, Mixtures-Based Model for the Grain Size Dependence of Strength in Nanophase Metals. Nanostructured Materials, 5(4), 441-448. http://doi.org/10.1016/0965-9773(95)00257-F
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5810