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Title: Yielding transitions and grain-size effects in dislocation theory

Abstract

The statistical-thermodynamic dislocation theory developed in previous papers is used in this paper in an analysis of yielding transitions and grain-size effects in polycrystalline solids. Calculations are based on the 1995 experimental results of Meyers, Andrade, and Chokshi [Metall. Mater. Trans. A 26, 2881 (1995)] for polycrystalline copper under strain-hardening conditions. The main assertion is that the well-known Hall-Petch effects are caused by enhanced strengths of dislocation sources at the edges of grains instead of the commonly assumed resistance to dislocation flow across grain boundaries. Finally, the theory describes rapid transitions between elastic and plastic deformation at yield points; thus it can be used to predict grain-size dependence of both yield stresses and flow stresses.

Authors:
 [1]
  1. Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1352806
DOE Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 95; Journal Issue: 3; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Langer, J. S. Yielding transitions and grain-size effects in dislocation theory. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.95.033004.
Langer, J. S. Yielding transitions and grain-size effects in dislocation theory. United States. doi:10.1103/PhysRevE.95.033004.
Langer, J. S. Fri . "Yielding transitions and grain-size effects in dislocation theory". United States. doi:10.1103/PhysRevE.95.033004.
@article{osti_1352806,
title = {Yielding transitions and grain-size effects in dislocation theory},
author = {Langer, J. S.},
abstractNote = {The statistical-thermodynamic dislocation theory developed in previous papers is used in this paper in an analysis of yielding transitions and grain-size effects in polycrystalline solids. Calculations are based on the 1995 experimental results of Meyers, Andrade, and Chokshi [Metall. Mater. Trans. A 26, 2881 (1995)] for polycrystalline copper under strain-hardening conditions. The main assertion is that the well-known Hall-Petch effects are caused by enhanced strengths of dislocation sources at the edges of grains instead of the commonly assumed resistance to dislocation flow across grain boundaries. Finally, the theory describes rapid transitions between elastic and plastic deformation at yield points; thus it can be used to predict grain-size dependence of both yield stresses and flow stresses.},
doi = {10.1103/PhysRevE.95.033004},
journal = {Physical Review E},
issn = {2470-0045},
number = 3,
volume = 95,
place = {United States},
year = {2017},
month = {3}
}

Works referenced in this record:

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The effect of grain size on the high-strain, high-strain-rate behavior of copper
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  • Meyers, Marc A.; Andrade, Umberto R.; Chokshi, Atul H.
  • Metallurgical and Materials Transactions A, Vol. 26, Issue 11
  • DOI: 10.1007/BF02669646

Thermal effects in dislocation theory
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