# Stress measurement in thick plates using nonlinear ultrasonics

## Abstract

In this paper the interaction between nonlinear ultrasonic characteristics and stress state of complex loaded thick steel plates using fundamental theory of nonlinear ultrasonics is investigated in order to measure the stress state at a given cross section. The measurement concept is based on phased array placement of ultrasonic transmitter-receiver to scan three angles of a given cross section using Rayleigh waves. The change in the ultrasonic data in thick steel plates is influenced by normal and shear stresses; therefore, three measurements are needed to solve the equations simultaneously. Different thickness plates are studied in order to understand the interaction of Rayleigh wave penetration depth and shear stress. The purpose is that as the thickness becomes smaller, the shear stress becomes negligible at the angled measurement. For thicker cross section, shear stress becomes influential if the depth of penetration of Rayleigh wave is greater than the half of the thickness. The influences of plate thickness and ultrasonic frequency on the identification of stress tensor are numerically studied in 3D structural geometry and Murnaghan material model. The experimental component of this study includes uniaxial loading of the plate while measuring ultrasonic wave at three directions (perpendicular, parallel and angled to themore »

- Authors:

- University of Illinois at Chicago, Civil and Materials Engineering, 842 W Taylor Street ERF 2095, Chicago, IL 60607 (United States)

- Publication Date:

- OSTI Identifier:
- 22391223

- 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:
- 42 ENGINEERING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LOADING; MATERIALS TESTING; NONLINEAR PROBLEMS; PENETRATION DEPTH; PLATES; RAYLEIGH WAVES; SHEAR; STEELS; STRESSES; TENSORS; THICKNESS; ULTRASONIC WAVES

### Citation Formats

```
Abbasi, Zeynab, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu, and Ozevin, Didem, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu.
```*Stress measurement in thick plates using nonlinear ultrasonics*. United States: N. p., 2015.
Web. doi:10.1063/1.4914778.

```
Abbasi, Zeynab, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu, & Ozevin, Didem, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu.
```*Stress measurement in thick plates using nonlinear ultrasonics*. United States. doi:10.1063/1.4914778.

```
Abbasi, Zeynab, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu, and Ozevin, Didem, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu. Tue .
"Stress measurement in thick plates using nonlinear ultrasonics". United States.
doi:10.1063/1.4914778.
```

```
@article{osti_22391223,
```

title = {Stress measurement in thick plates using nonlinear ultrasonics},

author = {Abbasi, Zeynab, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu and Ozevin, Didem, E-mail: zabbas5@uic.edu, E-mail: dozevin@uic.edu},

abstractNote = {In this paper the interaction between nonlinear ultrasonic characteristics and stress state of complex loaded thick steel plates using fundamental theory of nonlinear ultrasonics is investigated in order to measure the stress state at a given cross section. The measurement concept is based on phased array placement of ultrasonic transmitter-receiver to scan three angles of a given cross section using Rayleigh waves. The change in the ultrasonic data in thick steel plates is influenced by normal and shear stresses; therefore, three measurements are needed to solve the equations simultaneously. Different thickness plates are studied in order to understand the interaction of Rayleigh wave penetration depth and shear stress. The purpose is that as the thickness becomes smaller, the shear stress becomes negligible at the angled measurement. For thicker cross section, shear stress becomes influential if the depth of penetration of Rayleigh wave is greater than the half of the thickness. The influences of plate thickness and ultrasonic frequency on the identification of stress tensor are numerically studied in 3D structural geometry and Murnaghan material model. The experimental component of this study includes uniaxial loading of the plate while measuring ultrasonic wave at three directions (perpendicular, parallel and angled to the loading direction). Instead of rotating transmitter-receiver pair for each test, a device capable of measuring the three angles is designed.},

doi = {10.1063/1.4914778},

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}

}