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Transient 3D elastodynamic field in an embedded multilayered anisotropic plate

Article dans une revue avec comité de lecture
Auteur
MORA, Pierric
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
DUCASSE, Eric
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
DESCHAMPS, Marc
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]

URI
http://hdl.handle.net/10985/10734
DOI
10.1016/j.ultras.2016.03.020
Date
2016
Journal
Ultrasonics

Résumé

The aim of this paper is to study the ultrasonic response to a transient source that radiates ultrasonic waves in a 3D embedded multilayered anisotropic and dissipative plate. The source can be inside the plate or outside, in a fluid loading the plate for example. In the context of Non-Destructive Testing applied to composite materials, our goal is to create a robust algorithm to calculate ultrasonic field, irrespective of the source and receiver positions. The principle of the method described in this paper is well-established. This method is based on time analysis using the Laplace transform. In the present work, it has been customized for computing ultrasonic source interactions with multilayered dissipative anisotropic plates. The fields are transformed in the 2D Fourier wave-vector domain for the space variables related to the plate surface, and they are expressed in the partial-wave basis. Surprisingly, this method has been very little used in the ultrasonic community, while it is a useful tool which complements the much used technique based on generalized Lamb wave decomposition. By avoiding mode analysis -- which can be problematic in some cases -- exact numerical calculations (i.e., approximations by truncating infinite series that may be poorly convergent are not needed) can be made in a relatively short time for immersed plates and viscoelastic layers. Even for 3D cases, numerical costs are relatively low. Special attention is given to separate up- and down-going waves, which is a simple matter when using the Laplace transform. Numerical results show the effectiveness of this method. Three examples are presented here to investigate the quality of the model and the robustness of the algorithm: first, a comparison of experiment and simulation for a monolayer carbon-epoxy plate, where the diffracted field is due to a source located on the first free surface of the sample, for both dissipative and non-dissipative cases; second, the basic configuration of an aluminum plate immersed in water has been chosen to study wave propagation in ZGV (Zero Group Velocity) conditions; finally, a 2D plate consisting of 8 stacked carbon-epoxy layers immersed in water is treated, with a source located inside the plate, distributed in depth and extending over four layers.

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Documents liés

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  • Mode computation of immersed multilayer plates by solving an eigenvalue problem 
    Article dans une revue avec comité de lecture
    DUCASSE, Eric; DESCHAMPS, Marc (Elsevier BV, 2022-05-27)
    The aim of this paper is to compute modes of immersed multilayer plates by writing and solving an eigenvalue problem. The method can be applied to any kind of material with layers, i.e., fluid, anisotropic and viscoelastic. ...
  • Time-domain computation of the response of composite layered anisotropic plates to a localized source 
    Article dans une revue avec comité de lecture
    DUCASSE, Eric; DESCHAMPS, Marc (Elsevier, 2014)
    This paper describes how a modal approach in the time-domain can be suitable for calculating the elastodynamic field in a layered plate. This elastodynamic field is generated by impulsive sources located in a small region ...
  • A nonstandard wave decomposition to ensure the convergence of Debye series for modeling wave propagation in an immersed anisotropic elastic plate 
    Article dans une revue avec comité de lecture
    DUCASSE, Eric; DESCHAMPS, Marc (Elsevier, 2012)
    When ultrasonic guided waves in an immersed plate are expressed as Debye series, they are considered as the result of successive reflections from the plate walls. Against all expectations, the Debye series can diverge for ...
  • An alternative to the traveling-wave approach for use in two-port descriptions of acoustics bores 
    Article dans une revue avec comité de lecture
    DUCASSE, Eric (Acoustical Society of America, 2002)
    For more than a decade, the digital waveguide model for musical instruments has been improved through the simulation of cylindrical and conical bores. But several difficulties remain, such as instabilities due to growing ...
  • On waveguide modeling of stiff piano string 
    Article dans une revue avec comité de lecture
    DUCASSE, Eric (Acoustical Society of America, 2005)
    Bensa et al. [J. A Coust. Soc. Am. 114(2) 1095-1107 (2003), Section IV] recently proposed a waveguide model for the transverse displacement of a stiff piano string. The study described here is an attempt to cast a complementary ...

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