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    Torsional Shock Waves in a Viscoelastic Rod

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003::page 595
    Author:
    N. Sugimoto
    ,
    Y. Yamane
    ,
    T. Kakutani
    DOI: 10.1115/1.3167679
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The propagation of torsional shock waves in a thin circular viscoelastic rod is investigated theoretically. An analysis is carried out based on the approximate equations previously derived. Two typical viscoelastic models are considered, which possess, respectively, the discrete and continuous relaxation spectrum. One is the usual Maxwell- Voigt model and the other is a new model whose relaxation function is given by a power law with weak singularity. The structures of steady shock profiles are presented and compared for both types. Finally a brief discussion is included on the simplified evolution equations for a far field transient behavior.
    keyword(s): Shock waves , Relaxation (Physics) , Equations , Spectra (Spectroscopy) AND Shock (Mechanics) ,
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      Torsional Shock Waves in a Viscoelastic Rod

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    http://yetl.yabesh.ir/yetl1/handle/yetl/97985
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    contributor authorN. Sugimoto
    contributor authorY. Yamane
    contributor authorT. Kakutani
    date accessioned2017-05-08T23:17:01Z
    date available2017-05-08T23:17:01Z
    date copyrightSeptember, 1984
    date issued1984
    identifier issn0021-8936
    identifier otherJAMCAV-26240#595_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97985
    description abstractThe propagation of torsional shock waves in a thin circular viscoelastic rod is investigated theoretically. An analysis is carried out based on the approximate equations previously derived. Two typical viscoelastic models are considered, which possess, respectively, the discrete and continuous relaxation spectrum. One is the usual Maxwell- Voigt model and the other is a new model whose relaxation function is given by a power law with weak singularity. The structures of steady shock profiles are presented and compared for both types. Finally a brief discussion is included on the simplified evolution equations for a far field transient behavior.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTorsional Shock Waves in a Viscoelastic Rod
    typeJournal Paper
    journal volume51
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167679
    journal fristpage595
    journal lastpage601
    identifier eissn1528-9036
    keywordsShock waves
    keywordsRelaxation (Physics)
    keywordsEquations
    keywordsSpectra (Spectroscopy) AND Shock (Mechanics)
    treeJournal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003
    contenttypeFulltext
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