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    General Three-Dimensional Analysis of Transient Elastic Waves in a Multilayered Medium

    Source: Journal of Applied Mechanics:;2006:;volume( 073 ):;issue: 003::page 490
    Author:
    Chien-Ching Ma
    ,
    Genn-Sheng Lee
    DOI: 10.1115/1.2125989
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The propagation of transient elastic waves in a three-dimensional multilayered medium subjected to general dynamic loadings is analyzed in this study. One of the objectives of this study is to develop an effective analytical method for determining transient full-field solutions in the multilayered medium subjected to nonaxisymmetric dynamic loadings. The wave field is decomposed into two parts; one is the P-SV system of waves and the other is the SH system, each of which propagates independently in a horizontally layered medium. A simple relationship between solutions of two- and three-dimensional problems in the Fourier transform domain is also presented. A matrix solution in the triple transform domain is obtained by Brownwich expansion and the inverse transform is inverted by Cagniard’s method. The matrix representation of the solution can be easily used to calculate the transient response of the multilayered medium without tracing the ray path manually. The formulas presented in this study enable us to calculate the long-time transient responses of the multilayered medium for three-dimensional configuration. The theoretical transient solution for a layer overlaying a half-space subjected to an arbitrarily oriented point force is presented in detail. The numerical calculations are compared with experimental measurements for the surface displacement response on a plate and a layer overlaying a half-space subjected to an axisymmetric point force. The numerical investigation is also carried out for nonaxisymmetric loading problem of a layer overlaying a half-space.
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      General Three-Dimensional Analysis of Transient Elastic Waves in a Multilayered Medium

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    contributor authorChien-Ching Ma
    contributor authorGenn-Sheng Lee
    date accessioned2017-05-09T00:18:37Z
    date available2017-05-09T00:18:37Z
    date copyrightMay, 2006
    date issued2006
    identifier issn0021-8936
    identifier otherJAMCAV-26599#490_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/133033
    description abstractThe propagation of transient elastic waves in a three-dimensional multilayered medium subjected to general dynamic loadings is analyzed in this study. One of the objectives of this study is to develop an effective analytical method for determining transient full-field solutions in the multilayered medium subjected to nonaxisymmetric dynamic loadings. The wave field is decomposed into two parts; one is the P-SV system of waves and the other is the SH system, each of which propagates independently in a horizontally layered medium. A simple relationship between solutions of two- and three-dimensional problems in the Fourier transform domain is also presented. A matrix solution in the triple transform domain is obtained by Brownwich expansion and the inverse transform is inverted by Cagniard’s method. The matrix representation of the solution can be easily used to calculate the transient response of the multilayered medium without tracing the ray path manually. The formulas presented in this study enable us to calculate the long-time transient responses of the multilayered medium for three-dimensional configuration. The theoretical transient solution for a layer overlaying a half-space subjected to an arbitrarily oriented point force is presented in detail. The numerical calculations are compared with experimental measurements for the surface displacement response on a plate and a layer overlaying a half-space subjected to an axisymmetric point force. The numerical investigation is also carried out for nonaxisymmetric loading problem of a layer overlaying a half-space.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGeneral Three-Dimensional Analysis of Transient Elastic Waves in a Multilayered Medium
    typeJournal Paper
    journal volume73
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2125989
    journal fristpage490
    journal lastpage504
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2006:;volume( 073 ):;issue: 003
    contenttypeFulltext
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