# Measurement and fitting techniques for the assessment of material nonlinearity using nonlinear Rayleigh waves

## Abstract

This research considers the effects of diffraction, attenuation, and the nonlinearity of generating sources on measurements of nonlinear ultrasonic Rayleigh wave propagation. A new theoretical framework for correcting measurements made with air-coupled and contact piezoelectric receivers for the aforementioned effects is provided based on analytical models and experimental considerations. A method for extracting the nonlinearity parameter β{sub 11} is proposed based on a nonlinear least squares curve-fitting algorithm that is tailored for Rayleigh wave measurements. Quantitative experiments are conducted to confirm the predictions for the nonlinearity of the piezoelectric source and to demonstrate the effectiveness of the curve-fitting procedure. These experiments are conducted on aluminum 2024 and 7075 specimens and a β{sub 11}{sup 7075}/β{sub 11}{sup 2024} measure of 1.363 agrees well with previous literature and earlier work.

- Authors:

- GW Woodruff School of Mechanical Engineering, Georgia Tech (United States)
- School of Civil and Environmental Engineering, Georgia Tech (United States)
- Department of Civil and Environmental Engineering, Northwestern University (United States)
- School of Civil and Environmental Engineering, Georgia Tech and GW Woodruff School of Mechanical Engineering, Georgia Tech (United States)

- Publication Date:

- OSTI Identifier:
- 22391205

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1650; Journal Issue: 1; Conference: 41. Annual Review of Progress in Quantitative Nondestructive Evaluation, Boise, ID (United States), 20-25 Jul 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AIR; ALGORITHMS; ALUMINIUM; ATTENUATION; DIAGRAMS; DIFFRACTION; LEAST SQUARE FIT; NONLINEAR PROBLEMS; PIEZOELECTRICITY; RAYLEIGH WAVES; WAVE PROPAGATION

### Citation Formats

```
Torello, David, Kim, Jin-Yeon, Qu, Jianmin, and Jacobs, Laurence J.
```*Measurement and fitting techniques for the assessment of material nonlinearity using nonlinear Rayleigh waves*. United States: N. p., 2015.
Web. doi:10.1063/1.4914603.

```
Torello, David, Kim, Jin-Yeon, Qu, Jianmin, & Jacobs, Laurence J.
```*Measurement and fitting techniques for the assessment of material nonlinearity using nonlinear Rayleigh waves*. United States. doi:10.1063/1.4914603.

```
Torello, David, Kim, Jin-Yeon, Qu, Jianmin, and Jacobs, Laurence J. Tue .
"Measurement and fitting techniques for the assessment of material nonlinearity using nonlinear Rayleigh waves". United States.
doi:10.1063/1.4914603.
```

```
@article{osti_22391205,
```

title = {Measurement and fitting techniques for the assessment of material nonlinearity using nonlinear Rayleigh waves},

author = {Torello, David and Kim, Jin-Yeon and Qu, Jianmin and Jacobs, Laurence J.},

abstractNote = {This research considers the effects of diffraction, attenuation, and the nonlinearity of generating sources on measurements of nonlinear ultrasonic Rayleigh wave propagation. A new theoretical framework for correcting measurements made with air-coupled and contact piezoelectric receivers for the aforementioned effects is provided based on analytical models and experimental considerations. A method for extracting the nonlinearity parameter β{sub 11} is proposed based on a nonlinear least squares curve-fitting algorithm that is tailored for Rayleigh wave measurements. Quantitative experiments are conducted to confirm the predictions for the nonlinearity of the piezoelectric source and to demonstrate the effectiveness of the curve-fitting procedure. These experiments are conducted on aluminum 2024 and 7075 specimens and a β{sub 11}{sup 7075}/β{sub 11}{sup 2024} measure of 1.363 agrees well with previous literature and earlier work.},

doi = {10.1063/1.4914603},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1650,

place = {United States},

year = {Tue Mar 31 00:00:00 EDT 2015},

month = {Tue Mar 31 00:00:00 EDT 2015}

}