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    Harmonic Wave Propagation in Nonhomogeneous Layered Composites

    Source: Journal of Applied Mechanics:;1986:;volume( 053 ):;issue: 001::page 108
    Author:
    Z. P. Duan
    ,
    J. W. Eischen
    ,
    G. Herrmann
    DOI: 10.1115/1.3171694
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new method for analyzing plane wave propagation in a periodically layered, elastic, nonhomogeneous composite body is proposed. The nonhomogeneity considered is a variation of the material properties within each composite layer. Results from probability theory are used to arrive at the two fundamental solutions of the governing second order ordinary differential equations. Floquet’s wave theory is combined with a Wronskian formula to yield the dispersion relationship for this nonhomogeneous composite. Numerical results show that the presence of material nonhomogeneity affects the range of frequencies which can pass through the composite unattenuated.
    keyword(s): Wave propagation , Composite materials , Wave theory of light , Materials properties , Differential equations , Formulas , Frequency AND Probability ,
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      Harmonic Wave Propagation in Nonhomogeneous Layered Composites

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/100848
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    • Journal of Applied Mechanics

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    contributor authorZ. P. Duan
    contributor authorJ. W. Eischen
    contributor authorG. Herrmann
    date accessioned2017-05-08T23:21:55Z
    date available2017-05-08T23:21:55Z
    date copyrightMarch, 1986
    date issued1986
    identifier issn0021-8936
    identifier otherJAMCAV-26265#108_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100848
    description abstractA new method for analyzing plane wave propagation in a periodically layered, elastic, nonhomogeneous composite body is proposed. The nonhomogeneity considered is a variation of the material properties within each composite layer. Results from probability theory are used to arrive at the two fundamental solutions of the governing second order ordinary differential equations. Floquet’s wave theory is combined with a Wronskian formula to yield the dispersion relationship for this nonhomogeneous composite. Numerical results show that the presence of material nonhomogeneity affects the range of frequencies which can pass through the composite unattenuated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleHarmonic Wave Propagation in Nonhomogeneous Layered Composites
    typeJournal Paper
    journal volume53
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3171694
    journal fristpage108
    journal lastpage115
    identifier eissn1528-9036
    keywordsWave propagation
    keywordsComposite materials
    keywordsWave theory of light
    keywordsMaterials properties
    keywordsDifferential equations
    keywordsFormulas
    keywordsFrequency AND Probability
    treeJournal of Applied Mechanics:;1986:;volume( 053 ):;issue: 001
    contenttypeFulltext
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