Nonlinear properties of Rayleigh and Stoneley waves in solids

Abstract

Bulk wave reflection formulas are extended to the surface-wave case, considering Rayleigh and Stoneley waves in terms of refracted inhomogeneous longitudinal and transversal waves, linked by the surface coupling. In this manner, a physical mechanism of second-harmonic generation process is clearly shown. The analytical expressions and physical pictures of Rayleigh- and Stoneley-wave harmonic generation have been derived in a second-order approximation. The solution shows that the second-harmonic surface waves have a field structure different from the fundamental ones and varying with the propagation distance. Some parameters were defined to characterize the elastic surface-wave second-harmonic generation efficiency. Numerical data for some isotropic materials are present. The steady-state form of finite amplitude surface wave is described and explained by a clear physical model.

Review / Sythèse Nonlinear acoustic applications for material characterization: A review

“…For the ideally bonded interface, a general approach to the boundary acoustic nonlinearity (nonlinear reflection technique) was first developed by Shui and Solodov [116]. It was shown that generally all the waves existing at the interface contributed into the interface acoustic nonlinearity.…”

“…Because of the lack of dispersion, the finite-amplitude method, which uses SAWs, can be applied for a quantitative determination of β 2 , or the third-order constants, using the analytical expressions for the SAW second-harmonic amplitude obtained in ref. 116 and modified (if needed) to account for the attenuation from (30).…”

A Rayleigh Wave Technique to Measure the Acoustic Nonlinearity Parameter of Materials

“…The relation has been derived in our previous work [2] as where Uz((i)) and Uz(2(i)) are the fundamental and second order harmonic amphtudes of a Rayleigh wave displacement; kj^, k, and k^ are the Rayleigh, longitudinal and shear wave numbers. This equation can be derived from the full perturbation analysis of Shui and Solodov [7]. It is noted that Eq.…”

Assessment of Plastic Deformation in Al6061 Alloy using Acoustic Nonlinearity of Laser-Generated Surface Wave

“…이들 중, 마스크 슬릿을 이용한 기법은 매우 간편하면서도 효과적인 방법이며, Jhang은 이 기법을 통하여 발생된 협대역의 레이저 여기 표면파의 음향 비선형 특성을 계측하였다 [12]. 특 히, Shui와 Solodov는 종파보다도 표면파에 의한 고조파발생이 약 10 3 배나 크다는 것을 물리적이 고 분석적으로 보고하였다 [13].…”