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    An Elastic Half Plane Weakened by a Rectangular Trench

    Source: Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 003::page 683
    Author:
    L. M. Keer
    ,
    K. Chantaramungkorn
    DOI: 10.1115/1.3423662
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of an elastic half plane loaded in tension and weakened by a rectangular trench is set up in a manner leading to a system of simultaneous singular integral equations. The method is to consider the superposition of solutions for two cracks perpendicular and one parallel to the surface of the half plane. The limiting case when the three cracks intersect appropriately leads to the geometry of a rectangular trench. A collocation scheme developed by Erdogan and Gupta leads to numerical solution of the equations to determine the stress intensity factors at the corners and the horizontal displacement of the trench wall.
    keyword(s): Stress , Fracture (Materials) , Corners (Structural elements) , Displacement , Equations , Geometry , Integral equations AND Tension ,
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      An Elastic Half Plane Weakened by a Rectangular Trench

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/87050
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    contributor authorL. M. Keer
    contributor authorK. Chantaramungkorn
    date accessioned2017-05-08T22:57:48Z
    date available2017-05-08T22:57:48Z
    date copyrightSeptember, 1975
    date issued1975
    identifier issn0021-8936
    identifier otherJAMCAV-26042#683_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87050
    description abstractThe problem of an elastic half plane loaded in tension and weakened by a rectangular trench is set up in a manner leading to a system of simultaneous singular integral equations. The method is to consider the superposition of solutions for two cracks perpendicular and one parallel to the surface of the half plane. The limiting case when the three cracks intersect appropriately leads to the geometry of a rectangular trench. A collocation scheme developed by Erdogan and Gupta leads to numerical solution of the equations to determine the stress intensity factors at the corners and the horizontal displacement of the trench wall.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Elastic Half Plane Weakened by a Rectangular Trench
    typeJournal Paper
    journal volume42
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423662
    journal fristpage683
    journal lastpage687
    identifier eissn1528-9036
    keywordsStress
    keywordsFracture (Materials)
    keywordsCorners (Structural elements)
    keywordsDisplacement
    keywordsEquations
    keywordsGeometry
    keywordsIntegral equations AND Tension
    treeJournal of Applied Mechanics:;1975:;volume( 042 ):;issue: 003
    contenttypeFulltext
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