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Title: Solute atmospheres at dislocations

Abstract

In this study, a two-dimensional plane strain elastic solution is determined for the Cottrell solute atmosphere around an edge dislocation in an infinitely long cylinder of finite radius (the matrix), in which rows of solutes are represented by cylindrical rods with in-plane hydrostatic misfit (axial misfit is also considered). The periphery of the matrix is traction-free, thus introducing an image solute field which generates a solute-solute interaction energy that has not been considered previously. The relevant energy for the field of any distribution of solutes coexistent with a single edge dislocation along the (matrix) cylinder axis is determined, and coherency effects are discussed and studied. Monte Carlo simulations accounting for all pertinent interactions over a range of temperatures are found to yield solute distributions different from classical results, namely, (1) Fermi-Dirac condensations at low temperatures at the free surface, (2) the majority of the atmosphere lying within an unexpectedly large non-linear interaction region near the dislocation core, and (3) temperature-dependent asymmetrical solute arrangements that promote bending. The solute distributions at intermediate temperatures show a 1/r dependence in agreement with previous linearized approximations. With a standard state of solute corresponding to a mean concentration, c 0, the relevant interaction energy expressionmore » presented in this work is valid when extended to large concentrations for which Henry's Law and Vegard's Law do not apply.« less

Authors:
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Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1352373
Alternate Identifier(s):
OSTI ID: 1397852
Report Number(s):
LA-UR-16-28908
Journal ID: ISSN 1359-6454
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 131; Journal Issue: C; Journal ID: ISSN 1359-6454
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; material science; Cottrell atmospheres; dislocation theory; MC simulations; image effects

Citation Formats

Hirth, John P., Barnett, David M., and Hoagland, Richard G. Solute atmospheres at dislocations. United States: N. p., 2017. Web. doi:10.1016/j.actamat.2017.03.014.
Hirth, John P., Barnett, David M., & Hoagland, Richard G. Solute atmospheres at dislocations. United States. doi:10.1016/j.actamat.2017.03.014.
Hirth, John P., Barnett, David M., and Hoagland, Richard G. Thu . "Solute atmospheres at dislocations". United States. doi:10.1016/j.actamat.2017.03.014. https://www.osti.gov/servlets/purl/1352373.
@article{osti_1352373,
title = {Solute atmospheres at dislocations},
author = {Hirth, John P. and Barnett, David M. and Hoagland, Richard G.},
abstractNote = {In this study, a two-dimensional plane strain elastic solution is determined for the Cottrell solute atmosphere around an edge dislocation in an infinitely long cylinder of finite radius (the matrix), in which rows of solutes are represented by cylindrical rods with in-plane hydrostatic misfit (axial misfit is also considered). The periphery of the matrix is traction-free, thus introducing an image solute field which generates a solute-solute interaction energy that has not been considered previously. The relevant energy for the field of any distribution of solutes coexistent with a single edge dislocation along the (matrix) cylinder axis is determined, and coherency effects are discussed and studied. Monte Carlo simulations accounting for all pertinent interactions over a range of temperatures are found to yield solute distributions different from classical results, namely, (1) Fermi-Dirac condensations at low temperatures at the free surface, (2) the majority of the atmosphere lying within an unexpectedly large non-linear interaction region near the dislocation core, and (3) temperature-dependent asymmetrical solute arrangements that promote bending. The solute distributions at intermediate temperatures show a 1/r dependence in agreement with previous linearized approximations. With a standard state of solute corresponding to a mean concentration, c0, the relevant interaction energy expression presented in this work is valid when extended to large concentrations for which Henry's Law and Vegard's Law do not apply.},
doi = {10.1016/j.actamat.2017.03.014},
journal = {Acta Materialia},
number = C,
volume = 131,
place = {United States},
year = {Thu Jun 01 00:00:00 EDT 2017},
month = {Thu Jun 01 00:00:00 EDT 2017}
}

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