Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids

Abstract

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 semiinfinite or they contact with media such as fluids, gases or vacuum. A special homogenization technique enables to account for bristlelike 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.

An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure

“…Slightly different models were used in [31] to model fully coupled fluid-structure-soil interaction for cylindrical liquid-contained structures subjected to horizontal ground excitation. The work in [8] focused on studying velocity of acoustic waves excited in multilayered structures contacting with fluids. A fluid-multilayered structure interaction problem coupled with transport was studied in [14], with the purpose of investigating low-density lipoprotein transport within a multilayered arterial wall.…”

Simulation of Acoustic Wave Propagation in Anisotropic Media Using Dynamic Programming Technique

“…The resulting new layer whose thickness is equal to the height of the aptamer emulates the aptamer-fluid structure. The governing equation for this layer is given by the relation (see [3] and [4]…”

“…The approach related to the harmonic analysis is developed in [4] and provides a method for the construction of travelling wave solutions feasible in the biosensor structure under the assumption of its unboundedness in the lateral and downward directions. This assumption is very realistic because real biosensor chips are imbedded up to the surface in very viscous damping media that suppresses the reflection of waves on the the side and bottom faces.…”

“…The algorithm is described here quite briefly (see [7] and [4] for more details). It is assumed that all the layers are infinite in x 1 and x 2 directions, the (top) fluid layer and the (bottom) substrate layer are semi-infinite in x 3 direction.…”

Glycocalyx Sensing with a Mathematical Model of Acoustic Shear Wave Biosensor

“…Acoustic shear wave biosensors utilize surface acoustic waves excited in a piezoelectric substrate to detect and quantify proteins and cells in biological solutions (see, e.g., [ 12 ]). In the articles [ 13 , 14 , 15 ], a mathematical model of an acoustic biosensor has been developed and its adequacy and good performance in detecting small amounts of cells and molecules in biological solutions have been demonstrated.…”