# 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:

- Aix-Marseille Univ., and CNRS/LMA/UPR, Marseille (France)
- 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}

}

Other availability

Cited by: 2works

*Citation information provided by*

Web of Science

Web of Science

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.