The Mode Method as a Framework for Theoretical Studies of Ultrasonic Waves Diffraction in Non-homogeneous Layered Structures

Shkerdin G. The Mode Method as a Framework for Theoretical Studies of Ultrasonic Waves Diffraction in Non-homogeneous Layered Structures. In: 2015 ICU International Congress on Ultrasonics, 10-14 мая 2015 года, Metz, France , Elsevier Science Publishing Company, Inc. , С. 787-790.

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Официальный URL: http://www.sciencedirect.com/science/journal/18753...

Аннотация

Ultrasonic waves propagation in non-homogeneous layered structures containing cracks, inclusions, delaminations, etc. is accompanied by diffraction phenomena that can be studied using the mode method.This method is based on the acoustic field expansion in the discrete set of eigen modes describing localized surface and waveguide waves and in the continuous set of radiation modes describing non-localized volume waves. Fundamentals of the mode method including derivations of different kinds of orthogonality conditions and derivations of coupled equations systems for unknown expansion coeffcients in the case of two-dimensional isotropic structures are given in the paper. These systems of equations are generally described by infinite systems of linear algebraic equations for the case of radiation modes absence, existence of radiation modes results in the systems of coupled integral equations. Using the mode method, several concrete problems of ultrasonic waves diffraction in non-homogeneous layered structures are presented in the paper such as: Scholte-Stoneley wave excitation and conversion at the edge of a fluid loaded plate, interaction of Lamb modes with delaminations in plates coated by highly absorbing materials and nonlinear modulation of Lamb modes by clapping delamination. It is shown that both stress-free and slip delaminations can be revealed by monitoring the amplitude of an incident Lamb mode along the plate surfaces. Lamb modes modulation by clapping delamination leads to spectral enrichment due to cross-modulation spectral components between the probing and modulating waves, this can serve as a tool for nondestructive testing of bilayers.

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Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!: Г. Шкердин
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URI: http://cplire.ru:8080/id/eprint/806
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