Mesh-free modeling of the interaction between a point-focused acoustic lens and a cavity

Abstract

Interaction between a cavity or void in a liquid and a converging ultrasonic beam generated by a point-focused acoustic lens is investigated. A semi-analytical technique called the distributed point source method (DPSM) is adopted because no analytical solution is available for this problem involving cavities of different size and the finite element method is not very efficient for modeling high-frequency ultrasonic problems. The solution shows that if the cavity is placed very close to the focal point of the lens then it can be detected by the acoustic lens. The detectability of the cavity at the off-focus position depends on the distance of the cavity from the focal point. The variation of this distance as the cavity moves in horizontal and vertical directions from the focal point is also investigated.

Modeling of Ultrasonic and Terahertz Radiations in Defective Tiles for Condition Monitoring of Thermal Protection Systems

“…Various improvements on DPSM were carried out to make this technique more accurate and/or efficient, such as G-DPSM and ESM [5] and transient DPSM analysis without going through Fast Fourier Transform [6]. Then this DPSM technique was used to solve different ultrasonic and electromagnetic field modeling problems for NDE (nondestructive evaluation) applications [5][6][7][8][9][10][11][12][13][14].…”

“…In addition to the book chapter and journal papers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] published from the direct and indirect supports of this research grant a PhD dissertation [18] was completed under this project where the student was supported from this research grant and a number of scientific papers on this research have been presented in the scientific conferences [19][20][21][22][23][24]. All these publications 1 to 24 are given in the reference list…”

Introducing a user-friendly MATLAB-based application interface software (AIS) for DPSM modeling: applied to ultrasonic problems

“…DPSM (Distributed Point Source Method) is a mesh-free semi-analytical technique used to solve a variety of engineering problems in acoustic, magnetic, electrostatic and other engineering fields [1][2][3][4][5][6][7][8]. The input data are the material properties, the problem dimensions, boundary conditions of the involved elements like the sensors, and other relevant parameters like the frequency.…”

Guided Waves for Nondestructive Testing – Experiment and Analysis

“…They successfully used this technique to model ultrasonic fi elds in a homogeneous fl uid [ 2 ] , non-homogeneous fl uid with multiple interfaces [ 3 ] , and fl uid containing a cavity [ 4,5 ] . It was extended to model phased array transducers [ 6 ] .…”