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Title: From local to global measurements of nonclassical nonlinear elastic effects in geomaterials

Abstract

Here, the equivalence between local and global measures of nonclassical nonlinear elasticity is established in a slender resonant bar. Nonlinear effects are first measured globally using nonlinear resonance ultrasound spectroscopy (NRUS), which monitors the relative shift of the resonance frequency as a function of the maximum dynamic strain in the sample. Subsequently, nonlinear effects are measured locally at various positions along the sample using dynamic acousto elasticity testing (DAET). Finally, after correcting analytically the DAET data for three-dimensional strain effects and integrating numerically these corrected data along the length of the sample, the NRUS global measures are retrieved almost exactly.

Authors:
 [1]; ORCiD logo [2];  [2];  [2];  [1];  [1]
  1. Aix-Marseille Univ., and CNRS/LMA/UPR, Marseille (France)
  2. 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 Office of Fossil Energy (FE)
OSTI Identifier:
1407872
Report Number(s):
LA-UR-16-23114
Journal ID: ISSN 0001-4966
Grant/Contract Number:
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of the Acoustical Society of America
Additional Journal Information:
Journal Volume: 140; Journal Issue: 3; Journal ID: ISSN 0001-4966
Publisher:
Acoustical Society of America
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Earth Sciences; nonlinear elasticity; dynamic acoustoelasticity; nonlinear resonant ultrasound spectroscopy; geomaterials

Citation Formats

Lott, Martin, Remillieux, Marcel C., Le Bas, Pierre-Yves, Ulrich, T. J., Garnier, Vincent, and Payan, Cédric. From local to global measurements of nonclassical nonlinear elastic effects in geomaterials. United States: N. p., 2016. Web. doi:10.1121/1.4962373.
Lott, Martin, Remillieux, Marcel C., Le Bas, Pierre-Yves, Ulrich, T. J., Garnier, Vincent, & Payan, Cédric. From local to global measurements of nonclassical nonlinear elastic effects in geomaterials. United States. doi:10.1121/1.4962373.
Lott, Martin, Remillieux, Marcel C., Le Bas, Pierre-Yves, Ulrich, T. J., Garnier, Vincent, and Payan, Cédric. Wed . "From local to global measurements of nonclassical nonlinear elastic effects in geomaterials". United States. doi:10.1121/1.4962373. https://www.osti.gov/servlets/purl/1407872.
@article{osti_1407872,
title = {From local to global measurements of nonclassical nonlinear elastic effects in geomaterials},
author = {Lott, Martin and Remillieux, Marcel C. and Le Bas, Pierre-Yves and Ulrich, T. J. and Garnier, Vincent and Payan, Cédric},
abstractNote = {Here, the equivalence between local and global measures of nonclassical nonlinear elasticity is established in a slender resonant bar. Nonlinear effects are first measured globally using nonlinear resonance ultrasound spectroscopy (NRUS), which monitors the relative shift of the resonance frequency as a function of the maximum dynamic strain in the sample. Subsequently, nonlinear effects are measured locally at various positions along the sample using dynamic acousto elasticity testing (DAET). Finally, after correcting analytically the DAET data for three-dimensional strain effects and integrating numerically these corrected data along the length of the sample, the NRUS global measures are retrieved almost exactly.},
doi = {10.1121/1.4962373},
journal = {Journal of the Acoustical Society of America},
number = 3,
volume = 140,
place = {United States},
year = {Wed Sep 07 00:00:00 EDT 2016},
month = {Wed Sep 07 00:00:00 EDT 2016}
}

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