Elastic wave field computation in multilayered nonplanar solid structures: A mesh-free semianalytical approach
- 1 March 2008
- journal article
- research article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 123 (3), 1371-1382
- https://doi.org/10.1121/1.2823258
Abstract
Multilayered solid structures made of isotropic, transversely isotropic, or general anisotropic materials are frequently used in aerospace, mechanical, and civil structures. Ultrasonic fields developed in such structures by finite size transducers simulating actual experiments in laboratories or in the field have not been rigorously studied. Several attempts to compute the ultrasonic field inside solid media have been made based on approximate paraxial methods like the classical ray tracing and multi-Gaussian beam models. These approximate methods have several limitations. A new semianalytical method is adopted in this article to model elastic wave field in multilayered solid structures with planar or nonplanar interfaces generated by finite size transducers. A general formulation good for both isotropic and anisotropicsolids is presented in this article. A variety of conditions have been incorporated in the formulation including irregularities at the interfaces. The method presented here requires frequency domain displacement and stress Green’s functions. Due to the presence of different materials in the problem geometry various elastodynamic Green’s functions for different materials are used in the formulation. Expressions of displacement and stress Green’s functions for isotropic and anisotropicsolids as well as for the fluid media are presented. Computed results are verified by checking the stress and displacement continuity conditions across the interface of two different solids of a bimetal plate and investigating if the results for a corrugated plate with very small corrugation match with the flat plate results.This publication has 30 references indexed in Scilit:
- Semi-analytical modeling of ultrasonic fields in solids with internal anomalies immersed in a fluidWave Motion, 2008
- Computationally efficient representation for elastostatic and elastodynamic Green’s functions for anisotropic solidsPhysical Review B, 1995
- A new method to obtain 3-D Green's functions for anisotropic solidsWave Motion, 1993
- Topographic effects for incident P, SV and Rayleigh wavesTectonophysics, 1993
- A paraxial theory for the propagation of ultrasonic beams in anisotropic solidsThe Journal of the Acoustical Society of America, 1989
- A diffraction beam field expressed as the superposition of Gaussian beamsThe Journal of the Acoustical Society of America, 1988
- On Green’s functions for elastic waves in anisotropic mediaThe Journal of the Acoustical Society of America, 1988
- MMP calculations of guided wavesIEEE Transactions on Magnetics, 1985
- Elastic waves in a multilayered solid due to a dislocation sourceWave Motion, 1985
- The multiple multipole method in electro- and magnetostatic problemsIEEE Transactions on Magnetics, 1983