Elastic wave field computation in multilayered nonplanar solid structures: A mesh-free semianalytical approach

Sourav Banerjee, Tribikram Kundu

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 anisotropic solids 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 anisotropic solids 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.

Original languageEnglish (US)
Pages (from-to)1371-1382
Number of pages12
JournalJournal of the Acoustical Society of America
Volume123
Issue number3
DOIs
StatePublished - 2008

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elastic waves
mesh
stress functions
Green's functions
formulations
transducers
corrugated plates
ultrasonics
bimetals
elastodynamics
flat plates
irregularities
ray tracing
continuity
Waves
fluids
geometry

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

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