Nonlinear interaction of Rayleigh waves in isotropic materials: Numerical and experimental investigation

• Published in: Ultrasonics Vol. 122; p. 106664
• Main Authors: Gartsev, Sergey, Zuo, Peng, Rjelka, Marek, Mayer, Andreas, Köhler, Bernd
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01.05.2022
• Subjects: Nonlinear wave interaction; Rayleigh wave; Third-order elastic constants; Wave mixing; Wave vector extraction; Wave mixing; Wave vector extraction; Rayleigh wave; Nonlinear wave interaction; Third-order elastic constants
• ISSN: 0041-624X; 1874-9968; 1874-9968
• DOI: 10.1016/j.ultras.2021.106664

Surface treatment intensity monitoring is still an open and challenging nondestructive testing problem. For the estimation of residual stress with ultrasonic measurements, local linear and nonlinear elastic constants are needed as input. In this paper, nonlinear elastic-wave interactions (also called wave mixing or scattering) — namely, the generation of secondary ultrasonic waves in a nonlinear medium — are considered as a prospective means for near-surface nonlinear elastic parameter evaluation. The allowed interactions between bulk and surface waves, as well as the dependence of the scattering efficiency on the frequency and angle between source waves, were investigated through an analytical model, then compared with FEM simulations and experimental results. Finally, possible future steps for the development of the applied methods for the determination of near-surface higher-order elastic constants are discussed. In addition, several problem-relevant data processing procedures are presented. •Rayleigh wave mixing can provide information on nonlinear parameters and their dependency on depth.•Nonlinear interaction of bulk and Rayleigh waves in metals is investigated.•Digital signal processing tools for robust retrieval of wave parameters are introduced.•In-situ method of evaluation of nonlinear elastic constants is proposed.