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Title: Probing hysteretic elasticity in weakly nonlinear materials

Abstract

Our work is aimed at assessing the elastic and dissipative hysteretic nonlinear parameters' repeatability (precision) using several classes of materials with weak, intermediate and high nonlinear properties. In this contribution, we describe an optimized Nonlinear Resonant Ultrasound Spectroscopy (NRUS) measuring and data processing protocol applied to small samples. The protocol is used to eliminate the effects of environmental condition changes that take place during an experiment, and that may mask the intrinsic elastic nonlinearity. As an example, in our experiments, we identified external temperature fluctuation as a primary source of material resonance frequency and elastic modulus variation. A variation of 0.1 C produced a frequency variation of 0.01 %, which is similar to the expected nonlinear frequency shift for weakly nonlinear materials. In order to eliminate environmental effects, the variation in f{sub 0} (the elastically linear resonance frequency proportional to modulus) is fit with the appropriate function, and that function is used to correct the NRUS calculation of nonlinear parameters. With our correction procedure, we measured relative resonant frequency shifts of 10{sup -5} , which are below 10{sup -4}, often considered the limit to NRUS sensitivity under common experimental conditions. Our results show that the procedure is an alternative tomore » the stringent control of temperature often applied. Applying the approach, we report nonlinear parameters for several materials, some with very small nonclassical nonlinearity. The approach has broad application to NRUS and other Nonlinear Elastic Wave Spectroscopy approaches.« less

Authors:
 [1];  [2];  [2];  [2];  [2];  [2]
  1. Los Alamos National Laboratory
  2. UPMC UNIV PARIS
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1043452
Report Number(s):
LA-UR-10-08116; LA-UR-10-8116
TRN: US201214%%9
DOE Contract Number:  
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: IEEE International Ultrasonics Symposium ; October 14, 2010 ; San Diego, CA
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; ACCURACY; CONTROL; CORRECTIONS; DATA PROCESSING; ELASTICITY; FLUCTUATIONS; FREQUENCY RANGE; FUNCTIONS; HYSTERESIS; MATERIALS; NONLINEAR PROBLEMS; RESONANCE; SENSITIVITY; SPECTROSCOPY; ULTRASONIC WAVES; VARIATIONS

Citation Formats

Johnson, Paul A, Haupert, Sylvain, Renaud, Guillaume, Riviere, Jacques, Talmant, Maryline, and Laugier, Pascal. Probing hysteretic elasticity in weakly nonlinear materials. United States: N. p., 2010. Web.
Johnson, Paul A, Haupert, Sylvain, Renaud, Guillaume, Riviere, Jacques, Talmant, Maryline, & Laugier, Pascal. Probing hysteretic elasticity in weakly nonlinear materials. United States.
Johnson, Paul A, Haupert, Sylvain, Renaud, Guillaume, Riviere, Jacques, Talmant, Maryline, and Laugier, Pascal. 2010. "Probing hysteretic elasticity in weakly nonlinear materials". United States. https://www.osti.gov/servlets/purl/1043452.
@article{osti_1043452,
title = {Probing hysteretic elasticity in weakly nonlinear materials},
author = {Johnson, Paul A and Haupert, Sylvain and Renaud, Guillaume and Riviere, Jacques and Talmant, Maryline and Laugier, Pascal},
abstractNote = {Our work is aimed at assessing the elastic and dissipative hysteretic nonlinear parameters' repeatability (precision) using several classes of materials with weak, intermediate and high nonlinear properties. In this contribution, we describe an optimized Nonlinear Resonant Ultrasound Spectroscopy (NRUS) measuring and data processing protocol applied to small samples. The protocol is used to eliminate the effects of environmental condition changes that take place during an experiment, and that may mask the intrinsic elastic nonlinearity. As an example, in our experiments, we identified external temperature fluctuation as a primary source of material resonance frequency and elastic modulus variation. A variation of 0.1 C produced a frequency variation of 0.01 %, which is similar to the expected nonlinear frequency shift for weakly nonlinear materials. In order to eliminate environmental effects, the variation in f{sub 0} (the elastically linear resonance frequency proportional to modulus) is fit with the appropriate function, and that function is used to correct the NRUS calculation of nonlinear parameters. With our correction procedure, we measured relative resonant frequency shifts of 10{sup -5} , which are below 10{sup -4}, often considered the limit to NRUS sensitivity under common experimental conditions. Our results show that the procedure is an alternative to the stringent control of temperature often applied. Applying the approach, we report nonlinear parameters for several materials, some with very small nonclassical nonlinearity. The approach has broad application to NRUS and other Nonlinear Elastic Wave Spectroscopy approaches.},
doi = {},
url = {https://www.osti.gov/biblio/1043452}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 07 00:00:00 EST 2010},
month = {Tue Dec 07 00:00:00 EST 2010}
}

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