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    Initial Value Problems in Viscoelasticity

    Source: Applied Mechanics Reviews:;1988:;volume( 041 ):;issue: 010::page 371
    Author:
    W. J. Hrusa
    ,
    J. A. Nohel
    ,
    M. Renardy
    DOI: 10.1115/1.3151871
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We review some recent mathematical results concerning integrodiff erential equations that model the motion of one-dimensional nonlinear viscoelastic materials. In particular, we discuss global (in time) existence and long-time behavior of classical solutions, as well as the formation of singularities in finite time from smooth initial data. Although the mathematical theory is comparatively incomplete, we make some remarks concerning the existence of weak solutions (i e, solutions with shocks). Some relevant results from linear wave propagation will also be discussed.
    keyword(s): Viscoelasticity , Shock (Mechanics) , Equations , Wave propagation , Motion AND Viscoelastic materials ,
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      Initial Value Problems in Viscoelasticity

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    https://yetl.yabesh.ir/yetl1/handle/yetl/103373
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    contributor authorW. J. Hrusa
    contributor authorJ. A. Nohel
    contributor authorM. Renardy
    date accessioned2017-05-08T23:26:17Z
    date available2017-05-08T23:26:17Z
    date copyrightOctober, 1988
    date issued1988
    identifier issn0003-6900
    identifier otherAMREAD-25567#371_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103373
    description abstractWe review some recent mathematical results concerning integrodiff erential equations that model the motion of one-dimensional nonlinear viscoelastic materials. In particular, we discuss global (in time) existence and long-time behavior of classical solutions, as well as the formation of singularities in finite time from smooth initial data. Although the mathematical theory is comparatively incomplete, we make some remarks concerning the existence of weak solutions (i e, solutions with shocks). Some relevant results from linear wave propagation will also be discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInitial Value Problems in Viscoelasticity
    typeJournal Paper
    journal volume41
    journal issue10
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.3151871
    journal fristpage371
    journal lastpage378
    identifier eissn0003-6900
    keywordsViscoelasticity
    keywordsShock (Mechanics)
    keywordsEquations
    keywordsWave propagation
    keywordsMotion AND Viscoelastic materials
    treeApplied Mechanics Reviews:;1988:;volume( 041 ):;issue: 010
    contenttypeFulltext
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