Journal ArticleDOI
Nonlinear guided waves in plates: a numerical perspective.
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TLDR
Harmonic generation from non-cumulative fundamental symmetric and antisymmetric modes in plate is studied from a numerical standpoint and the phenomenon of mode-interaction to generate sum and difference frequencies is demonstrated.About:
This article is published in Ultrasonics.The article was published on 2014-08-01. It has received 78 citations till now. The article focuses on the topics: High harmonic generation & Harmonic.read more
Citations
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Journal ArticleDOI
Review of nonlinear ultrasonic guided wave nondestructive evaluation: theory, numerics, and experiments
TL;DR: In this paper, the authors review the recent advances in the theory of nonlinear guided waves, as well as the numerical simulations and experiments that demonstrate their utility, including the application of higher harmonic generation of ultrasonic guided wave modes for nondestructive evaluation.
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Analytical and numerical studies of approximate phase velocity matching based nonlinear S0 mode Lamb waves for the detection of evenly distributed microstructural changes
TL;DR: In this article, a nonlinear S0 mode Lamb wave at low frequency range satisfying approximate phase velocity matching is proposed for the purpose of overcoming the limitations of non-zero power flux criteria.
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Generation mechanism of nonlinear ultrasonic Lamb waves in thin plates with randomly distributed micro-cracks.
TL;DR: This study theoretically reveals that the low frequency S0 mode of Lamb waves can be used as the fundamental waves to quantitatively identify micro‐cracks in thin plates.
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Nonlinear ultrasonic guided waves—Principles for nondestructive evaluation
TL;DR: This Tutorial focuses on the physical principles of nonlinear ultrasonic guided waves leading to the so-called internal resonance conditions that provide a means for selecting primary waves that generate cumulative secondary waves that transform how the service lives of structural systems are managed.
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On the detection of fatigue damage in composites by use of second harmonic guided waves
TL;DR: In this paper, a nonlinear wave propagation based on the cumulative second harmonic Lamb wave generation is used to detect micro-structural damage and the corresponding material degradation experimentally, and the numerical analysis shows a higher harmonic mode generation due to the interaction of the waves and the cracks and an increasing nonlinear effect with increasing crack sizes and numbers.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
Theory of elasticity
TL;DR: The equilibrium of rods and plates Elastic waves Dislocations Thermal conduction and viscosity in solids Mechanics of liquid crystals Index as discussed by the authors The equilibrium of rod and plate elastic waves Elastic waves
Book
Acoustic Fields and Waves in Solids
TL;DR: In this article, the authors apply the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators).
Journal ArticleDOI
Nonlinear ultrasonic characterization of fatigue microstructures
John H. Cantrell,William T. Yost +1 more
TL;DR: In this article, a model of ultrasonic wave-dislocation dipole interactions is developed that quantifies the wave distortion by means of a material nonlinearity parameter (beta).
Journal ArticleDOI
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.