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    A Consistent Set of Nonlocal Bresse–Timoshenko Equations for Nanobeams With Surface Effects

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 006::page 61001
    Author:
    Elishakoff, Isaac
    ,
    Soret, Clement
    DOI: 10.1115/1.4023630
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this study, we propose governing differential equations for beams, taking into account shear deformation, rotary inertia, locality, and surface stress effects. It is shown that the equation is both simpler and more consistent than the appropriate Bresse–Timoshenko equations extended to include locality and surface stress effects. The proposed equation contains 11 terms with respect to displacement versus 19 terms appearing in the equations that extend the Bresse–Timoshenko equations to include nonlocality and surface effects.
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      A Consistent Set of Nonlocal Bresse–Timoshenko Equations for Nanobeams With Surface Effects

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    contributor authorElishakoff, Isaac
    contributor authorSoret, Clement
    date accessioned2017-05-09T00:56:22Z
    date available2017-05-09T00:56:22Z
    date issued2013
    identifier issn0021-8936
    identifier otherjam_080_06_061001.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150926
    description abstractIn this study, we propose governing differential equations for beams, taking into account shear deformation, rotary inertia, locality, and surface stress effects. It is shown that the equation is both simpler and more consistent than the appropriate Bresse–Timoshenko equations extended to include locality and surface stress effects. The proposed equation contains 11 terms with respect to displacement versus 19 terms appearing in the equations that extend the Bresse–Timoshenko equations to include nonlocality and surface effects.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Consistent Set of Nonlocal Bresse–Timoshenko Equations for Nanobeams With Surface Effects
    typeJournal Paper
    journal volume80
    journal issue6
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4023630
    journal fristpage61001
    journal lastpage61001
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2013:;volume( 080 ):;issue: 006
    contenttypeFulltext
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