×

Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. (English) Zbl 1269.74050

Summary: The paper describes a method and a computer application for the computation of the velocity of acoustic waves excited in complicated multi-layered structures consisting of anisotropic piezoelectric and isotropic layers. The structure assumes to be unbounded in the lateral directions. The top and bottom layers are either semi-infinite in the vertical direction or they contact with media such as fluids, gases or vacuum. A special homogenization technique enables to account for bristle-like layers contacting with a fluid. The program is supplied with a user friendly graphical interface and can be useful for researchers working on acoustic sensors.

MSC:

74E30 Composite and mixture properties

Software:

Disperse

References:

[1] Wobst, R., The generalized eigenvalue problem and acoustic surface waves computations, Computing, 39, 57-69 (1987) · Zbl 0626.65034
[2] Ogilvy, J. A., An approximate analysis of waves in layered piezoelectric plates from an interdigital source transducer, J. Phys. D: Appl. Phys., 29, 876-884 (1996)
[3] Pavlakovic, B. N.; Lowe, M. J.S.; Alleyne, D. N.; Cawley, P., Disperse: a general purpose program for creating dispersion curves, (Thompson; Chimenti, Annual Review of Progress in Quantitative NDE (1997), Plenum Press: Plenum Press New York), 155-192
[4] Kovacs, G.; Vellekoop, M. J.; Haueis, R., A Love wave sensor for (bio)chemical sensing in liquids, Sensors Actuators A, 43, 38-43 (1994)
[5] Harding, G. L.; Du, J.; Dencher, P. R.; Barnett, D.; Howe, E., Love-wave acoustic immunosensor operating in liquid, Sensors Actuators A, 61, 279-286 (1997)
[6] Jakobi, B.; Vellekoop, M. J., Viscosity sensing using a Love-wave device, Sensors Actuators A, 68, 275-281 (1998)
[10] Allaire, G., Homogenization and two-scale convergence, SIAM J. Math. Anal., 23, 6, 1482-1518 (1992) · Zbl 0770.35005
[11] Landau, L. D.; Lifschitz, E. M., Elastizitätstheorie (1975), Akademie-Verlag: Akademie-Verlag Berlin · Zbl 0296.73006
[12] Zhang, V. L.; Kuok, M. H.; Lim, H. S.; Ng, S. C., Determination of \(\operatorname{LiTaO}_3\) acoustic physical constants at hypersonic frequencies from bulk and surface wave velocities, J. Phys.: Conden. Matter, 14, 3, 545-553 (2002)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.