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    Some Phenomena of Cracks Perpendicular to an Interface Between Dissimilar Orthotropic Materials

    Source: Journal of Applied Mechanics:;1996:;volume( 063 ):;issue: 001::page 190
    Author:
    J. C. Sung
    ,
    J. Y. Liou
    ,
    Y. Y. Lin
    DOI: 10.1115/1.2787197
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of two aligned orthotropic materials bonded perfectly along the interface with cracks embedded in either one or both of the materials while their directions being perpendicular to the interface is considered. A system of singular integral equations for general anisotropic materials is derived. Employing four effective material parameters proposed by Krenk and introducing four generalized Dundurs’ constants, the kernel functions appearing in the integrals are converted into real forms for the present problem which are keys to the present study. The kernel functions for isotropic dissimilar materials can be deduced from the present results directly, no any limiting process is needed. These kernel functions are then employed to investigate the singular behaviors for stresses at the point on the interface. Characteristic equation which determines the power of singularity for stresses is given in real forms for the case of cracks that are going through the interface. Studies of the characteristic equation reveal that the singular nature for the stresses could vanish for some material combinations and the singular nature for the stresses is found to be independent of the replacement of the material parameter Δ by Δ-1 . The kernel functions developed are further used to explore analytically some interesting phenomena for the stress intensity factors, which are discussed in detail in the present context. Some numerical results for the stress intensity factors for a typical dissimilar materials are also given.
    keyword(s): Fracture (Materials) , Stress , Functions , Equations AND Integral equations ,
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      Some Phenomena of Cracks Perpendicular to an Interface Between Dissimilar Orthotropic Materials

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/116513
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    contributor authorJ. C. Sung
    contributor authorJ. Y. Liou
    contributor authorY. Y. Lin
    date accessioned2017-05-08T23:49:21Z
    date available2017-05-08T23:49:21Z
    date copyrightMarch, 1996
    date issued1996
    identifier issn0021-8936
    identifier otherJAMCAV-26368#190_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116513
    description abstractThe problem of two aligned orthotropic materials bonded perfectly along the interface with cracks embedded in either one or both of the materials while their directions being perpendicular to the interface is considered. A system of singular integral equations for general anisotropic materials is derived. Employing four effective material parameters proposed by Krenk and introducing four generalized Dundurs’ constants, the kernel functions appearing in the integrals are converted into real forms for the present problem which are keys to the present study. The kernel functions for isotropic dissimilar materials can be deduced from the present results directly, no any limiting process is needed. These kernel functions are then employed to investigate the singular behaviors for stresses at the point on the interface. Characteristic equation which determines the power of singularity for stresses is given in real forms for the case of cracks that are going through the interface. Studies of the characteristic equation reveal that the singular nature for the stresses could vanish for some material combinations and the singular nature for the stresses is found to be independent of the replacement of the material parameter Δ by Δ-1 . The kernel functions developed are further used to explore analytically some interesting phenomena for the stress intensity factors, which are discussed in detail in the present context. Some numerical results for the stress intensity factors for a typical dissimilar materials are also given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSome Phenomena of Cracks Perpendicular to an Interface Between Dissimilar Orthotropic Materials
    typeJournal Paper
    journal volume63
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2787197
    journal fristpage190
    journal lastpage203
    identifier eissn1528-9036
    keywordsFracture (Materials)
    keywordsStress
    keywordsFunctions
    keywordsEquations AND Integral equations
    treeJournal of Applied Mechanics:;1996:;volume( 063 ):;issue: 001
    contenttypeFulltext
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