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    Dynamic Response of an Orthotropic Half-Space With a Subsurface Crack: In-Plane Case

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004::page 988
    Author:
    M. R. Karim
    ,
    T. Kundu
    DOI: 10.1115/1.2897718
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Scattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green’s functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.
    keyword(s): Dynamic response , Elastic half space , Fracture (Materials) , Displacement , Equations , Functions , Integral equations , Polynomials , Theorems (Mathematics) , Stress , Elastic waves , Radiation scattering AND Electromagnetic scattering ,
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      Dynamic Response of an Orthotropic Half-Space With a Subsurface Crack: In-Plane Case

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    http://yetl.yabesh.ir/yetl1/handle/yetl/107941
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    contributor authorM. R. Karim
    contributor authorT. Kundu
    date accessioned2017-05-08T23:34:28Z
    date available2017-05-08T23:34:28Z
    date copyrightDecember, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26335#988_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/107941
    description abstractScattering of elastic waves by a subsurface crack in an orthotropic half-space subjected to a surface line load of arbitrary angle of inclination is studied. Green’s functions are developed and used along with the representation theorem to reduce the problem to a set of simultaneous singular integral equations in the Fourier transformed domain. Solution to these equations is then obtained by expanding the unknown crack opening displacement (COD) in terms of Chebyshev polynomials. Numerical results are given for specific examples involving orthotropic materials.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamic Response of an Orthotropic Half-Space With a Subsurface Crack: In-Plane Case
    typeJournal Paper
    journal volume58
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897718
    journal fristpage988
    journal lastpage995
    identifier eissn1528-9036
    keywordsDynamic response
    keywordsElastic half space
    keywordsFracture (Materials)
    keywordsDisplacement
    keywordsEquations
    keywordsFunctions
    keywordsIntegral equations
    keywordsPolynomials
    keywordsTheorems (Mathematics)
    keywordsStress
    keywordsElastic waves
    keywordsRadiation scattering AND Electromagnetic scattering
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004
    contenttypeFulltext
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