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Title: Do Reuss and Voigt Bounds Really Bound in High-Pressure Rheology Experiments?

Abstract

Energy dispersive synchrotron x-ray diffraction is carried out to measure differential lattice strains in polycrystalline Fe{sub 2}SiO{sub 4} (fayalite) and MgO samples using a multi-element solid state detector during high-pressure deformation. The theory of elastic modeling with Reuss (iso-stress) and Voigt (iso-strain) bounds is used to evaluate the aggregate stress and weight parameter, {alpha} (0{le}{alpha}{le}1), of the two bounds. Results under the elastic assumption quantitatively demonstrate that a highly stressed sample in high-pressure experiments reasonably approximates to an iso-stress state. However, when the sample is plastically deformed, the Reuss and Voigt bounds are no longer valid ({alpha} becomes beyond 1). Instead, if plastic slip systems of the sample are known (e.g. in the case of MgO), the aggregate property can be modeled using a visco-plastic self-consistent theory.

Authors:
; ; ; ; ; ;
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL) National Synchrotron Light Source
Sponsoring Org.:
Doe - Office Of Science
OSTI Identifier:
914166
Report Number(s):
BNL-78734-2007-JA
Journal ID: ISSN 0953-8984; JCOMEL; TRN: US0801588
DOE Contract Number:  
DE-AC02-98CH10886
Resource Type:
Journal Article
Journal Name:
J. Phys.: Condens. Matter
Additional Journal Information:
Journal Volume: 18; Journal ID: ISSN 0953-8984
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; DEFORMATION; PLASTICS; RHEOLOGY; SLIP; STRAINS; SYNCHROTRONS; X-RAY DIFFRACTION; NSLS; national synchrotron light source

Citation Formats

Chen, J, Li, L, Yu, T, Long, H, Weidner, D, Wang, L, and Vaughan, M. Do Reuss and Voigt Bounds Really Bound in High-Pressure Rheology Experiments?. United States: N. p., 2006. Web. doi:10.1088/0953-8984/18/25/S11.
Chen, J, Li, L, Yu, T, Long, H, Weidner, D, Wang, L, & Vaughan, M. Do Reuss and Voigt Bounds Really Bound in High-Pressure Rheology Experiments?. United States. doi:10.1088/0953-8984/18/25/S11.
Chen, J, Li, L, Yu, T, Long, H, Weidner, D, Wang, L, and Vaughan, M. Sun . "Do Reuss and Voigt Bounds Really Bound in High-Pressure Rheology Experiments?". United States. doi:10.1088/0953-8984/18/25/S11.
@article{osti_914166,
title = {Do Reuss and Voigt Bounds Really Bound in High-Pressure Rheology Experiments?},
author = {Chen, J and Li, L and Yu, T and Long, H and Weidner, D and Wang, L and Vaughan, M},
abstractNote = {Energy dispersive synchrotron x-ray diffraction is carried out to measure differential lattice strains in polycrystalline Fe{sub 2}SiO{sub 4} (fayalite) and MgO samples using a multi-element solid state detector during high-pressure deformation. The theory of elastic modeling with Reuss (iso-stress) and Voigt (iso-strain) bounds is used to evaluate the aggregate stress and weight parameter, {alpha} (0{le}{alpha}{le}1), of the two bounds. Results under the elastic assumption quantitatively demonstrate that a highly stressed sample in high-pressure experiments reasonably approximates to an iso-stress state. However, when the sample is plastically deformed, the Reuss and Voigt bounds are no longer valid ({alpha} becomes beyond 1). Instead, if plastic slip systems of the sample are known (e.g. in the case of MgO), the aggregate property can be modeled using a visco-plastic self-consistent theory.},
doi = {10.1088/0953-8984/18/25/S11},
journal = {J. Phys.: Condens. Matter},
issn = {0953-8984},
number = ,
volume = 18,
place = {United States},
year = {2006},
month = {1}
}