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    Transient Response of an Elastic Medium to Torsional Loads on a Cylindrical Cavity

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 002::page 397
    Author:
    R. Parnes
    ,
    L. Banks-Sills
    DOI: 10.1115/1.3167051
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The transient response of an elastic medium to torsional line loads acting as a step function in time on the surface of an infinite cylindrical bore is obtained. The solution is seen to be composed of a superposition of space-harmonic applied tractions. Integral representations of the resulting displacement and stress fields are derived and numerical results are presented. The behavior in the vicinity immediately behind the outward propagating S-wave fronts is studied and analytic expressions for the resulting singularities and jumps across the fronts are given. These solutions may be used as the Green’s functions for more general spatial loading systems. The response is compared with the known static solution to determine the relative contribution of the transient effect.
    keyword(s): Transients (Dynamics) , Cavities , Stress , Waves , Displacement AND Functions ,
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      Transient Response of an Elastic Medium to Torsional Loads on a Cylindrical Cavity

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    http://yetl.yabesh.ir/yetl1/handle/yetl/96673
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    contributor authorR. Parnes
    contributor authorL. Banks-Sills
    date accessioned2017-05-08T23:14:48Z
    date available2017-05-08T23:14:48Z
    date copyrightJune, 1983
    date issued1983
    identifier issn0021-8936
    identifier otherJAMCAV-26217#397_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96673
    description abstractThe transient response of an elastic medium to torsional line loads acting as a step function in time on the surface of an infinite cylindrical bore is obtained. The solution is seen to be composed of a superposition of space-harmonic applied tractions. Integral representations of the resulting displacement and stress fields are derived and numerical results are presented. The behavior in the vicinity immediately behind the outward propagating S-wave fronts is studied and analytic expressions for the resulting singularities and jumps across the fronts are given. These solutions may be used as the Green’s functions for more general spatial loading systems. The response is compared with the known static solution to determine the relative contribution of the transient effect.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTransient Response of an Elastic Medium to Torsional Loads on a Cylindrical Cavity
    typeJournal Paper
    journal volume50
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167051
    journal fristpage397
    journal lastpage404
    identifier eissn1528-9036
    keywordsTransients (Dynamics)
    keywordsCavities
    keywordsStress
    keywordsWaves
    keywordsDisplacement AND Functions
    treeJournal of Applied Mechanics:;1983:;volume( 050 ):;issue: 002
    contenttypeFulltext
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