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Title: Averaging of elastic constants for polycrystals

Abstract

Many materials of interest are polycrystals, i.e., aggregates of single crystals. Randomly distributed orientations of single crystals lead to macroscopically isotropic properties. Here in this paper, we briefly review strategies of calculating effective isotropic second and third order elastic constants from the single crystal ones. Our main emphasis is on single crystals of cubic symmetry. Specifically, the averaging of third order elastic constants has not been particularly successful in the past, and discrepancies have often been attributed to texturing of polycrystals as well as to uncertainties in the measurement of elastic constants of both poly and single crystals. While this may well be true, we also point out here shortcomings in the theoretical averaging framework.

Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1407891
Alternate Identifier(s):
OSTI ID: 1399293
Report Number(s):
LA-UR-17-24288
Journal ID: ISSN 0021-8979; TRN: US1703059
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 122; Journal Issue: 14; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Blaschke, Daniel N. Averaging of elastic constants for polycrystals. United States: N. p., 2017. Web. https://doi.org/10.1063/1.4993443.
Blaschke, Daniel N. Averaging of elastic constants for polycrystals. United States. https://doi.org/10.1063/1.4993443
Blaschke, Daniel N. Fri . "Averaging of elastic constants for polycrystals". United States. https://doi.org/10.1063/1.4993443. https://www.osti.gov/servlets/purl/1407891.
@article{osti_1407891,
title = {Averaging of elastic constants for polycrystals},
author = {Blaschke, Daniel N.},
abstractNote = {Many materials of interest are polycrystals, i.e., aggregates of single crystals. Randomly distributed orientations of single crystals lead to macroscopically isotropic properties. Here in this paper, we briefly review strategies of calculating effective isotropic second and third order elastic constants from the single crystal ones. Our main emphasis is on single crystals of cubic symmetry. Specifically, the averaging of third order elastic constants has not been particularly successful in the past, and discrepancies have often been attributed to texturing of polycrystals as well as to uncertainties in the measurement of elastic constants of both poly and single crystals. While this may well be true, we also point out here shortcomings in the theoretical averaging framework.},
doi = {10.1063/1.4993443},
journal = {Journal of Applied Physics},
number = 14,
volume = 122,
place = {United States},
year = {2017},
month = {10}
}

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Cited by: 3 works
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    journal, January 2019

    • Qavi, Sahar; Firestone, Millicent A.; Foudazi, Reza
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    • DOI: 10.1039/c8sm02336k

    Dislocation drag from phonon wind in an isotropic crystal at large velocities
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    Fourth-order elastic moduli of polycrystals
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    Dynamical spin phenomena generated by longitudinal elastic waves traversing CoFe 2 O 4 films and heterostructures
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