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    Diffractions of Horizontal Shear Waves by a Parabolic Cylinder and Dynamic Stress Concentrations

    Source: Journal of Applied Mechanics:;1966:;volume( 033 ):;issue: 004::page 785
    Author:
    S. A. Thau
    ,
    Yih-Hsing Pao
    DOI: 10.1115/1.3625183
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Diffractions of horizontally polarized shear waves by a parabolic cylinder are studied by using the expansion of solutions to the wave equation in terms of Weber’s functions. The parabolic cylinder is either empty or filled with rigid material. Also, the problems of a semi-infinite line crack and a semi-infinite rigid ribbon as two limiting cases are treated. Displacements and stresses are calculated near the base of the parabola. In the case of a line crack or a rigid ribbon, the singular behavior of stresses is shown to be of the order of (kr)−1/2 , where k is the wave number and r the distance from the tip.
    keyword(s): Stress , Waves , Shear (Mechanics) , Cylinders , Fracture (Materials) , Functions AND Wave equations ,
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      Diffractions of Horizontal Shear Waves by a Parabolic Cylinder and Dynamic Stress Concentrations

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/109779
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    • Journal of Applied Mechanics

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    contributor authorS. A. Thau
    contributor authorYih-Hsing Pao
    date accessioned2017-05-08T23:37:37Z
    date available2017-05-08T23:37:37Z
    date copyrightDecember, 1966
    date issued1966
    identifier issn0021-8936
    identifier otherJAMCAV-25839#785_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109779
    description abstractDiffractions of horizontally polarized shear waves by a parabolic cylinder are studied by using the expansion of solutions to the wave equation in terms of Weber’s functions. The parabolic cylinder is either empty or filled with rigid material. Also, the problems of a semi-infinite line crack and a semi-infinite rigid ribbon as two limiting cases are treated. Displacements and stresses are calculated near the base of the parabola. In the case of a line crack or a rigid ribbon, the singular behavior of stresses is shown to be of the order of (kr)−1/2 , where k is the wave number and r the distance from the tip.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDiffractions of Horizontal Shear Waves by a Parabolic Cylinder and Dynamic Stress Concentrations
    typeJournal Paper
    journal volume33
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3625183
    journal fristpage785
    journal lastpage792
    identifier eissn1528-9036
    keywordsStress
    keywordsWaves
    keywordsShear (Mechanics)
    keywordsCylinders
    keywordsFracture (Materials)
    keywordsFunctions AND Wave equations
    treeJournal of Applied Mechanics:;1966:;volume( 033 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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