Thermo-acoustoelastic effect of Rayleigh wave: Theory and experimental verification

Shengyang Zeng; Jinying Zhu; Bibo Zhong; Xiongbing Li

doi:10.1016/j.ultras.2023.106948

Thermo-acoustoelastic effect of Rayleigh wave: Theory and experimental verification

Ultrasonics. 2023 May:131:106948. doi: 10.1016/j.ultras.2023.106948. Epub 2023 Feb 6.

Authors

Shengyang Zeng¹, Jinying Zhu², Bibo Zhong³, Xiongbing Li⁴

Affiliations

¹ School of Traffic and Transportation Engineering, Central South University, No. 22, Shaoshan South Road, Changsha, 410075, Hunan, China; Department of Civil and Environmental Engineering, University of Nebraska-Lincoln, 1110 S 67th St., Omaha, 68182, NE, USA. Electronic address: Shengyang_Zeng510@csu.edu.cn.
² Department of Civil and Environmental Engineering, University of Nebraska-Lincoln, 1110 S 67th St., Omaha, 68182, NE, USA. Electronic address: jyzhu@unl.edu.
³ Department of Civil and Environmental Engineering, University of Nebraska-Lincoln, 1110 S 67th St., Omaha, 68182, NE, USA. Electronic address: bbzhong@huskers.unl.edu.
⁴ School of Traffic and Transportation Engineering, Central South University, No. 22, Shaoshan South Road, Changsha, 410075, Hunan, China. Electronic address: lixb_ex@163.com.

PMID: 36780767
DOI: 10.1016/j.ultras.2023.106948

Abstract

Previous studies showed that the thermally-induced ultrasonic bulk wave velocity change could be used to measure acoustoelastic coefficients and third-order elastic constants of elastic materials. This method is naturally immune from the ambient temperature effect and has improved sensitivity and a simpler test setup than the conventional acoustoelastic test. However, Rayleigh wave is preferred for thick components or structures with only one accessible surface. In this work, the thermo-hyperelastic constitutive equation, along with acoustoelastic theory, is used to derive the expression of the thermo-acoustoelastic coefficient (TAEC) of Rayleigh wave. The numerical relationship between the TAEC of Rayleigh wave and Murnaghan constants (l, m and n) are given for common metals. The TAEC expressions for Rayleigh wave and shear wave are similar, and both are dominated by the constant m. The TAEC of Rayleigh wave was measured on an aluminum 6061 specimen using the thermal modulation experiment in a temperature range of 22 ∼35 °C. The measured TAEC shows good agreement with the theoretical calculation. Then the third-order elastic constants were calculated based on TAECs of bulk waves and Rayleigh wave.

Keywords: Nonlinear ultrasonic; Rayleigh wave; Thermo-acoustoelastic.