Time Dependent Pulse Propagation and Scattering in Elastic Solids; an Asymptotic Theory

dc.contributor.author Norris, A.
dc.date 2018-02-14T02:34:23.000
dc.date.accessioned 2020-06-30T06:32:36Z
dc.date.available 2020-06-30T06:32:36Z
dc.date.copyright Thu Jan 01 00:00:00 UTC 1987
dc.date.issued 1987
dc.description.abstract <p>Predictive modeling of ultrasonic pulse propagation in elastic solids is usually formulated in the frequency domain. Tractable solutions can then be obtained by using, for example, the powerful technique of geometrical elastodynamics and ray theory for wavefront propagation [1]. Recent advances [2,3] allow us to incorporate the finite pulse width by means of Gaussian profiles. However, a more realistic model should also include the fact that the pulse is of limited duration and therefore spatially localized in all directions. This paper outlines a theory for pulses in the form of a localized disturbance with a Gaussian envelope. The theory is valid if the associated carrier wavelength is short in comparison with typical length scales encountered in the solid. The method provides results explicitly in the time domain without the necessity of intermediate FFTs required by frequency domain methods. Applications to pulse propagation in smoothly varying inhomogeneous media, interface scattering and edge diffraction are discussed. The present theory contains an extra degree of freedom not explicitly considered before, i. e., the temporal width or duration of the pulse. An extensive treatment of the related problem for the scalar wave equation can be found in reference 4.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/qnde/1987/allcontent/4/
dc.identifier.articleid 1124
dc.identifier.contextkey 5772789
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath qnde/1987/allcontent/4
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/59008
dc.language.iso en
dc.relation.ispartofseries Review of Progress in Quantitative Nondestructive Evaluation
dc.source.bitstream archive/lib.dr.iastate.edu/qnde/1987/allcontent/4/1987_Norris_TimeDependent.pdf|||Fri Jan 14 23:58:09 UTC 2022
dc.source.uri 10.1007/978-1-4613-1893-4_4
dc.subject.disciplines Acoustics, Dynamics, and Controls
dc.title Time Dependent Pulse Propagation and Scattering in Elastic Solids; an Asymptotic Theory
dc.type event
dc.type.genre article
dspace.entity.type Publication
relation.isSeriesOfPublication 289a28b5-887e-4ddb-8c51-a88d07ebc3f3
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