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    Weakening of an Elastic Solid by a Rectangular Array of Cracks

    Source: Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 001::page 74
    Author:
    W. R. Delameter
    ,
    G. Herrmann
    ,
    D. M. Barnett
    DOI: 10.1115/1.3423557
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An infinite elastic solid containing a doubly periodic rectangular array of slitlike cracks is considered. The solid is subjected to a uniform stress resulting in a state of plane strain. The cracks are represented as suitable distributions of dislocations which are determined from a singular integral equation. This equation is solved numerically in an efficient manner using an expansion of the nonsingular part of the kernel in a series of Chebyshev polynomials. Values of the stress-intensity factors are presented, as well as the change in strain energy due to the presence of the cracks. Also, the effective elastic constants of a sheet having a rectangular array of cracks are given as functions of the crack spacing.
    keyword(s): Fracture (Materials) , Stress , Dislocations , Elastic constants , Equations , Functions , Integral equations , Plane strain AND Polynomials ,
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      Weakening of an Elastic Solid by a Rectangular Array of Cracks

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/87167
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    • Journal of Applied Mechanics

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    contributor authorW. R. Delameter
    contributor authorG. Herrmann
    contributor authorD. M. Barnett
    date accessioned2017-05-08T22:58:01Z
    date available2017-05-08T22:58:01Z
    date copyrightMarch, 1975
    date issued1975
    identifier issn0021-8936
    identifier otherJAMCAV-26030#74_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/87167
    description abstractAn infinite elastic solid containing a doubly periodic rectangular array of slitlike cracks is considered. The solid is subjected to a uniform stress resulting in a state of plane strain. The cracks are represented as suitable distributions of dislocations which are determined from a singular integral equation. This equation is solved numerically in an efficient manner using an expansion of the nonsingular part of the kernel in a series of Chebyshev polynomials. Values of the stress-intensity factors are presented, as well as the change in strain energy due to the presence of the cracks. Also, the effective elastic constants of a sheet having a rectangular array of cracks are given as functions of the crack spacing.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleWeakening of an Elastic Solid by a Rectangular Array of Cracks
    typeJournal Paper
    journal volume42
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423557
    journal fristpage74
    journal lastpage80
    identifier eissn1528-9036
    keywordsFracture (Materials)
    keywordsStress
    keywordsDislocations
    keywordsElastic constants
    keywordsEquations
    keywordsFunctions
    keywordsIntegral equations
    keywordsPlane strain AND Polynomials
    treeJournal of Applied Mechanics:;1975:;volume( 042 ):;issue: 001
    contenttypeFulltext
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