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    Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media

    Source: Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 001::page 59
    Author:
    R. A. Williams
    ,
    L. E. Malvern
    DOI: 10.1115/1.3564586
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The equations governing the propagation of infinitesimal incremental loading stress waves in a medium prestressed uniaxially into the plastic region are derived for a strain-rate-independent and a strain-rate-dependent constitutive equation. These equations, applied to a circular rod, a flat plate, and an unbounded medium, are solved using harmonic analysis to give the phase-velocity dispersion curves for component waves as a function of frequency. The results of this analysis are compared to the corresponding elastic dispersion curves.
    keyword(s): Waves , Plates (structures) , Equations , Flat plates AND Stress ,
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      Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media

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    http://yetl.yabesh.ir/yetl1/handle/yetl/132890
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    contributor authorR. A. Williams
    contributor authorL. E. Malvern
    date accessioned2017-05-09T00:18:21Z
    date available2017-05-09T00:18:21Z
    date copyrightMarch, 1969
    date issued1969
    identifier issn0021-8936
    identifier otherJAMCAV-25885#59_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/132890
    description abstractThe equations governing the propagation of infinitesimal incremental loading stress waves in a medium prestressed uniaxially into the plastic region are derived for a strain-rate-independent and a strain-rate-dependent constitutive equation. These equations, applied to a circular rod, a flat plate, and an unbounded medium, are solved using harmonic analysis to give the phase-velocity dispersion curves for component waves as a function of frequency. The results of this analysis are compared to the corresponding elastic dispersion curves.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleHarmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
    typeJournal Paper
    journal volume36
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3564586
    journal fristpage59
    journal lastpage64
    identifier eissn1528-9036
    keywordsWaves
    keywordsPlates (structures)
    keywordsEquations
    keywordsFlat plates AND Stress
    treeJournal of Applied Mechanics:;1969:;volume( 036 ):;issue: 001
    contenttypeFulltext
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