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    Dynamic Singular Moments in a Perfectly Conducting Mindlin Plate With a Through Crack Under a Magnetic Field

    Source: Journal of Applied Mechanics:;2000:;volume( 067 ):;issue: 003::page 503
    Author:
    Y. Shindo
    ,
    I. Ohnishi
    ,
    S. Toyama
    DOI: 10.1115/1.1311963
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Following Mindlin’s theory of plate bending of magnetoelasticity, we consider the scattering of time-harmonic flexural waves by a through crack in a perfectly conducting plate under a uniform magnetic field normal to the crack surface. An incident wave giving rise to moments symmetric about the crack plane is applied. It is assumed that the plate has the electric and magnetic permeabilities of the free space. By the use of Fourier transforms we reduce the problem to solving a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically. It is found that the existence of the magnetic field produces lower singular moments near the crack tip. [S0021-8936(00)02603-9]
    keyword(s): Magnetic fields , Waves AND Fracture (Materials) ,
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      Dynamic Singular Moments in a Perfectly Conducting Mindlin Plate With a Through Crack Under a Magnetic Field

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    http://yetl.yabesh.ir/yetl1/handle/yetl/123232
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    contributor authorY. Shindo
    contributor authorI. Ohnishi
    contributor authorS. Toyama
    date accessioned2017-05-09T00:01:41Z
    date available2017-05-09T00:01:41Z
    date copyrightSeptember, 2000
    date issued2000
    identifier issn0021-8936
    identifier otherJAMCAV-26157#503_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/123232
    description abstractFollowing Mindlin’s theory of plate bending of magnetoelasticity, we consider the scattering of time-harmonic flexural waves by a through crack in a perfectly conducting plate under a uniform magnetic field normal to the crack surface. An incident wave giving rise to moments symmetric about the crack plane is applied. It is assumed that the plate has the electric and magnetic permeabilities of the free space. By the use of Fourier transforms we reduce the problem to solving a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically. It is found that the existence of the magnetic field produces lower singular moments near the crack tip. [S0021-8936(00)02603-9]
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamic Singular Moments in a Perfectly Conducting Mindlin Plate With a Through Crack Under a Magnetic Field
    typeJournal Paper
    journal volume67
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1311963
    journal fristpage503
    journal lastpage510
    identifier eissn1528-9036
    keywordsMagnetic fields
    keywordsWaves AND Fracture (Materials)
    treeJournal of Applied Mechanics:;2000:;volume( 067 ):;issue: 003
    contenttypeFulltext
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