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    Viscoelastic Winding Mechanics

    Source: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 004::page 821
    Author:
    J. Y. Lin
    ,
    R. A. Westmann
    DOI: 10.1115/1.3176177
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The viscoelastic analysis of tape systems composed of rate-dependent materials is presented. Histories for winding, winding-pause, and winding-pause-unwinding are considered. The winding problem is reduced to determining the appropriate Green’s function by numerical solution of a Volterra integral equation of the second kind. This Green’s function and integral superposition permits the evaluation of the stress and displacement fields in the tape system for any winding history. Viscoelastic unwinding is treated by the superposition of two-states — one determined from the initial condition of the tape when unwinding begins and the second state given in terms of an arbitrary external pressure evaluated by solving an integral equation. Numerical results are presented for several histories and representative material properties.
    keyword(s): Winding (process) , Stress , Materials properties , Displacement , External pressure , Integral equations AND Volterra equations ,
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      Viscoelastic Winding Mechanics

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    http://yetl.yabesh.ir/yetl1/handle/yetl/104855
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    contributor authorJ. Y. Lin
    contributor authorR. A. Westmann
    date accessioned2017-05-08T23:29:01Z
    date available2017-05-08T23:29:01Z
    date copyrightDecember, 1989
    date issued1989
    identifier issn0021-8936
    identifier otherJAMCAV-26315#821_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/104855
    description abstractThe viscoelastic analysis of tape systems composed of rate-dependent materials is presented. Histories for winding, winding-pause, and winding-pause-unwinding are considered. The winding problem is reduced to determining the appropriate Green’s function by numerical solution of a Volterra integral equation of the second kind. This Green’s function and integral superposition permits the evaluation of the stress and displacement fields in the tape system for any winding history. Viscoelastic unwinding is treated by the superposition of two-states — one determined from the initial condition of the tape when unwinding begins and the second state given in terms of an arbitrary external pressure evaluated by solving an integral equation. Numerical results are presented for several histories and representative material properties.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleViscoelastic Winding Mechanics
    typeJournal Paper
    journal volume56
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3176177
    journal fristpage821
    journal lastpage827
    identifier eissn1528-9036
    keywordsWinding (process)
    keywordsStress
    keywordsMaterials properties
    keywordsDisplacement
    keywordsExternal pressure
    keywordsIntegral equations AND Volterra equations
    treeJournal of Applied Mechanics:;1989:;volume( 056 ):;issue: 004
    contenttypeFulltext
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