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Title: Decoupling nonclassical nonlinear behavior of elastic wave types

Abstract

In this Letter, the tensorial nature of the nonequilibrium dynamics in nonlinear mesoscopic elastic materials is evidenced via multimode resonance experiments. In these experiments the dynamic response, including the spatial variations of velocities and strains, is carefully monitored while the sample is vibrated in a purely longitudinal or a purely torsional mode. By analogy with the fact that such experiments can decouple the elements of the linear elastic tensor, we demonstrate that the parameters quantifying the nonequilibrium dynamics of the material differ substantially for a compressional wave and for a shear wave. As a result, this could lead to further understanding of the nonlinear mechanical phenomena that arise in natural systems as well as to the design and engineering of nonlinear acoustic metamaterials.

Authors:
 [1];  [2];  [3];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Nevada, Reno, NV (United States)
  3. Aix-Marseille Univ., Marseille Cedex (France)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1242330
Alternate Identifier(s):
OSTI ID: 1255159
Report Number(s):
LA-UR-16-20039
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:
AC52-06NA25396
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 116; Journal Issue: 11; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 58 GEOSCIENCES; 36 MATERIALS SCIENCE

Citation Formats

Remillieux, Marcel C., Guyer, Robert A., Payan, Cedric, and Ulrich, T. J.. Decoupling nonclassical nonlinear behavior of elastic wave types. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.116.115501.
Remillieux, Marcel C., Guyer, Robert A., Payan, Cedric, & Ulrich, T. J.. Decoupling nonclassical nonlinear behavior of elastic wave types. United States. doi:10.1103/PhysRevLett.116.115501.
Remillieux, Marcel C., Guyer, Robert A., Payan, Cedric, and Ulrich, T. J.. Tue . "Decoupling nonclassical nonlinear behavior of elastic wave types". United States. doi:10.1103/PhysRevLett.116.115501.
@article{osti_1242330,
title = {Decoupling nonclassical nonlinear behavior of elastic wave types},
author = {Remillieux, Marcel C. and Guyer, Robert A. and Payan, Cedric and Ulrich, T. J.},
abstractNote = {In this Letter, the tensorial nature of the nonequilibrium dynamics in nonlinear mesoscopic elastic materials is evidenced via multimode resonance experiments. In these experiments the dynamic response, including the spatial variations of velocities and strains, is carefully monitored while the sample is vibrated in a purely longitudinal or a purely torsional mode. By analogy with the fact that such experiments can decouple the elements of the linear elastic tensor, we demonstrate that the parameters quantifying the nonequilibrium dynamics of the material differ substantially for a compressional wave and for a shear wave. As a result, this could lead to further understanding of the nonlinear mechanical phenomena that arise in natural systems as well as to the design and engineering of nonlinear acoustic metamaterials.},
doi = {10.1103/PhysRevLett.116.115501},
journal = {Physical Review Letters},
number = 11,
volume = 116,
place = {United States},
year = {Tue Mar 01 00:00:00 EST 2016},
month = {Tue Mar 01 00:00:00 EST 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.116.115501

Citation Metrics:
Cited by: 10works
Citation information provided by
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  • In this Letter, the tensorial nature of the nonequilibrium dynamics in nonlinear mesoscopic elastic materials is evidenced via multimode resonance experiments. In these experiments the dynamic response, including the spatial variations of velocities and strains, is carefully monitored while the sample is vibrated in a purely longitudinal or a purely torsional mode. By analogy with the fact that such experiments can decouple the elements of the linear elastic tensor, we demonstrate that the parameters quantifying the nonequilibrium dynamics of the material differ substantially for a compressional wave and for a shear wave. As a result, this could lead to furthermore » understanding of the nonlinear mechanical phenomena that arise in natural systems as well as to the design and engineering of nonlinear acoustic metamaterials.« less
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