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    A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 006::page 61004
    Author:
    Rahimi, Zaher
    ,
    Sumelka, Wojciech
    ,
    Baleanu, Dumitru
    DOI: 10.1115/1.4043085
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In the present work, a nonlocal model based on the conformal strain energy, utilizing the conformable derivative definition, has been obtained. The model has two additional free parameters compared to the classical (local) mechanical formulations. The first one specifies the amount of the integer and the noninteger gradient of strain in the strain energy relation, and the second one controls the order of the strain derivatives in the conformable energy relation. The obtained governing (nonlinear) equation has been solved by the Galerkin method and the effects of both free parameters have been shown. As a case study, the bending and buckling of nanobeam structures has been studied.
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      A Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4257669
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    contributor authorRahimi, Zaher
    contributor authorSumelka, Wojciech
    contributor authorBaleanu, Dumitru
    date accessioned2019-06-08T09:29:05Z
    date available2019-06-08T09:29:05Z
    date copyright4/8/2019 12:00:00 AM
    date issued2019
    identifier issn1555-1415
    identifier othercnd_014_06_061004.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4257669
    description abstractIn the present work, a nonlocal model based on the conformal strain energy, utilizing the conformable derivative definition, has been obtained. The model has two additional free parameters compared to the classical (local) mechanical formulations. The first one specifies the amount of the integer and the noninteger gradient of strain in the strain energy relation, and the second one controls the order of the strain derivatives in the conformable energy relation. The obtained governing (nonlinear) equation has been solved by the Galerkin method and the effects of both free parameters have been shown. As a case study, the bending and buckling of nanobeam structures has been studied.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Mechanical Model Based on Conformal Strain Energy and Its Application to Bending and Buckling of Nanobeam Structures
    typeJournal Paper
    journal volume14
    journal issue6
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4043085
    journal fristpage61004
    journal lastpage061004-7
    treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 006
    contenttypeFulltext
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