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    Eigenfunction Expansion and Higher Order Weight Functions of Interface Cracks

    Source: Journal of Applied Mechanics:;1994:;volume( 061 ):;issue: 004::page 843
    Author:
    Yi-Zhou Chen
    ,
    Norio Hasebe
    DOI: 10.1115/1.2901566
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper the properties of the eigenfunction expansion form in the interface crack problem of plane elasticity are discussed in detail. After using the Betti’s reciprocal theorem to the cracked dissimilar bonded body, several path-independent integrals are obtained. All the coefficients in the eigenfunction expansion form, including the K1 and K2 values, and the J-integral can be related to corresponding path independent integrals. Possibility for formulating the weight function is also suggested.
    keyword(s): Weight (Mass) , Fracture (Materials) , Eigenfunctions , Functions , Elasticity AND Theorems (Mathematics) ,
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      Eigenfunction Expansion and Higher Order Weight Functions of Interface Cracks

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    http://yetl.yabesh.ir/yetl1/handle/yetl/113008
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    contributor authorYi-Zhou Chen
    contributor authorNorio Hasebe
    date accessioned2017-05-08T23:43:15Z
    date available2017-05-08T23:43:15Z
    date copyrightDecember, 1994
    date issued1994
    identifier issn0021-8936
    identifier otherJAMCAV-26360#843_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/113008
    description abstractIn this paper the properties of the eigenfunction expansion form in the interface crack problem of plane elasticity are discussed in detail. After using the Betti’s reciprocal theorem to the cracked dissimilar bonded body, several path-independent integrals are obtained. All the coefficients in the eigenfunction expansion form, including the K1 and K2 values, and the J-integral can be related to corresponding path independent integrals. Possibility for formulating the weight function is also suggested.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleEigenfunction Expansion and Higher Order Weight Functions of Interface Cracks
    typeJournal Paper
    journal volume61
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2901566
    journal fristpage843
    journal lastpage849
    identifier eissn1528-9036
    keywordsWeight (Mass)
    keywordsFracture (Materials)
    keywordsEigenfunctions
    keywordsFunctions
    keywordsElasticity AND Theorems (Mathematics)
    treeJournal of Applied Mechanics:;1994:;volume( 061 ):;issue: 004
    contenttypeFulltext
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