Journal ArticleDOI
Characteristics of second harmonic generation of Lamb waves in nonlinear elastic plates
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This paper investigates the characteristics of the second harmonic generation of Lamb waves in a plate with quadratic nonlinearity and shows that the cross-modal generation of a symmetric second harmonic mode by an antisymmetric primary mode is possible and that modes showing internal resonance-nonzero power flux to the first harmonic mode, plus phase velocity matching-are most useful for measurements.Abstract:
This paper investigates the characteristics of the second harmonic generation of Lamb waves in a plate with quadratic nonlinearity. Analytical asymptotic solutions to Lamb waves are first obtained through the use of a perturbation method. Then, based on a careful analysis of these asymptotic solutions, it is shown that the cross-modal generation of a symmetric second harmonic mode by an antisymmetric primary mode is possible. These solutions also demonstrate that modes showing internal resonance-nonzero power flux to the second harmonic mode, plus phase velocity matching-are most useful for measurements. In addition, when using finite wave packets, which is the case in most experimental measurements, group velocity matching is required for a cumulative increase in the second harmonic amplitude with propagation distance. Finally, five mode types (which are independent of material properties) that satisfy all three requirements for this cumulative increase in second harmonic amplitude-nonzero power flux, plus phase and group velocity matching-are identified. These results are important for the development of an experimental procedure to measure material nonlinearity with Lamb waves.read more
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References
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Experimental characterization of fatigue damage in a nickel-base superalloy using nonlinear ultrasonic waves
TL;DR: In this article, the authors developed a robust experimental procedure to track the evolution of fatigue damage in a nickel-base superalloy with the acoustic nonlinearity parameter, β, and demonstrates its effectiveness by making repeatable measurements of β in multiple specimens, subjected to both high and low-cycle fatigue.
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Finite-amplitude waves in isotropic elastic plates
W. J.N. De Lima,Mark F. Hamilton +1 more
TL;DR: In this article, the propagation of finite-amplitude waves in a homogeneous, isotropic, stress-free elastic plate is investigated theoretically, and perturbation is used to obtain solutions of the non-linear equations of motion for harmonic generation in the waveguide.
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Assessment of material damage in a nickel-base superalloy using nonlinear Rayleigh surface waves
TL;DR: In this article, the second order harmonic amplitude of a Rayleigh surface wave propagating in metallic specimens is measured using a laser-based ultrasonic technique, and the results show that there is a significant increase in the second-order harmonic amplitude at monotonic tensile loads above the material's yield stress.
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Analysis of second-harmonic generation of Lamb modes using a modal analysis approach
TL;DR: In this paper, an effective technique for analyzing the generation of second harmonics of Lamb modes in elastic plates is presented, where the second-order perturbation of the linear elastic response is treated as a second order perturbations of the elastic response.
Journal ArticleDOI
Cumulative second-harmonic generation of Lamb-mode propagation in a solid plate
TL;DR: In this paper, the authors describe the physical process of cumulative second-harmonic generation of Lamb-mode propagation in a solid plate, and the analytical expression of the cumulative second harmonic of Lambmode propagation has been determined.