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    Nonlinear Waves in Nonlocal Media

    Source: Applied Mechanics Reviews:;1998:;volume( 051 ):;issue: 008::page 475
    Author:
    J. Engelbrecht
    ,
    M. Braun
    DOI: 10.1115/1.3099016
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This review article gives a brief overview on nonlocal theories in solid mechanics from the viewpoint of wave motion. The influence of two essential qualities of solids—nonlocality and nonlinearity—is discussed. The effects of microstructure are analyzed in order to understand their role in nonlocal theories. The various models are specified on the level of one-dimensional unidirectional motion in order to achieve mathematical clarity of interpreting physical phenomena. Three main types of evolution equations are shown to govern deformation waves under such assumptions. Based on the dispersion analysis, weak, true, and strong nonlocalities are distinguished. There are 75 references included with this article.
    keyword(s): Nonlinear waves , Deformation , Wave motion , Solids , Motion , Waves , Solid mechanics AND Equations ,
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      Nonlinear Waves in Nonlocal Media

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    https://yetl.yabesh.ir/yetl1/handle/yetl/119781
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    contributor authorJ. Engelbrecht
    contributor authorM. Braun
    date accessioned2017-05-08T23:55:24Z
    date available2017-05-08T23:55:24Z
    date copyrightAugust, 1998
    date issued1998
    identifier issn0003-6900
    identifier otherAMREAD-25752#475_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119781
    description abstractThis review article gives a brief overview on nonlocal theories in solid mechanics from the viewpoint of wave motion. The influence of two essential qualities of solids—nonlocality and nonlinearity—is discussed. The effects of microstructure are analyzed in order to understand their role in nonlocal theories. The various models are specified on the level of one-dimensional unidirectional motion in order to achieve mathematical clarity of interpreting physical phenomena. Three main types of evolution equations are shown to govern deformation waves under such assumptions. Based on the dispersion analysis, weak, true, and strong nonlocalities are distinguished. There are 75 references included with this article.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonlinear Waves in Nonlocal Media
    typeJournal Paper
    journal volume51
    journal issue8
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.3099016
    journal fristpage475
    journal lastpage488
    identifier eissn0003-6900
    keywordsNonlinear waves
    keywordsDeformation
    keywordsWave motion
    keywordsSolids
    keywordsMotion
    keywordsWaves
    keywordsSolid mechanics AND Equations
    treeApplied Mechanics Reviews:;1998:;volume( 051 ):;issue: 008
    contenttypeFulltext
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