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    On the Plane Elastostatic Problem of a Loaded Crack Terminating at a Material Interface

    Source: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004::page 911
    Author:
    D. B. Bogy
    DOI: 10.1115/1.3408975
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The plane problem of a crack that terminates at the interface of a bimaterial composite and is loaded on its faces is treated within the two-dimensional theory of elastostatics. The emphasis is placed on determining how the order of the singularity in the stress field at the crack tip depends on the material constants and the angle at which the crack meets the interface. Numerical results are presented through figures showing this dependence on the material parameters for several fixed angles. It is then shown by way of examples how to use these figures to obtain the dependence on the angle for any desired composite. For the two examples chosen, it is found that when the crack is in the weaker constituent the stress singularity is most severe if the crack is tangent to (lies in) the interface; whereas, when the crack is in the stronger constituent a particular angle is associated with the most severe stress singularity for each composite.
    keyword(s): Fracture (Materials) , Composite materials , Stress singularity AND Stress ,
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      On the Plane Elastostatic Problem of a Loaded Crack Terminating at a Material Interface

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    contributor authorD. B. Bogy
    date accessioned2017-05-09T00:47:25Z
    date available2017-05-09T00:47:25Z
    date copyrightDecember, 1971
    date issued1971
    identifier issn0021-8936
    identifier otherJAMCAV-25950#911_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/147811
    description abstractThe plane problem of a crack that terminates at the interface of a bimaterial composite and is loaded on its faces is treated within the two-dimensional theory of elastostatics. The emphasis is placed on determining how the order of the singularity in the stress field at the crack tip depends on the material constants and the angle at which the crack meets the interface. Numerical results are presented through figures showing this dependence on the material parameters for several fixed angles. It is then shown by way of examples how to use these figures to obtain the dependence on the angle for any desired composite. For the two examples chosen, it is found that when the crack is in the weaker constituent the stress singularity is most severe if the crack is tangent to (lies in) the interface; whereas, when the crack is in the stronger constituent a particular angle is associated with the most severe stress singularity for each composite.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Plane Elastostatic Problem of a Loaded Crack Terminating at a Material Interface
    typeJournal Paper
    journal volume38
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3408975
    journal fristpage911
    journal lastpage918
    identifier eissn1528-9036
    keywordsFracture (Materials)
    keywordsComposite materials
    keywordsStress singularity AND Stress
    treeJournal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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