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    Numerical Approximation of Elasticity Tensor Associated With Green-Naghdi Rate

    Source: Journal of Biomechanical Engineering:;2017:;volume( 139 ):;issue: 008::page 81007
    Author:
    Liu, Haofei
    ,
    Sun, Wei
    DOI: 10.1115/1.4036829
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Objective stress rates are often used in commercial finite element (FE) programs. However, deriving a consistent tangent modulus tensor (also known as elasticity tensor or material Jacobian) associated with the objective stress rates is challenging when complex material models are utilized. In this paper, an approximation method for the tangent modulus tensor associated with the Green-Naghdi rate of the Kirchhoff stress is employed to simplify the evaluation process. The effectiveness of the approach is demonstrated through the implementation of two user-defined fiber-reinforced hyperelastic material models. Comparisons between the approximation method and the closed-form analytical method demonstrate that the former can simplify the material Jacobian evaluation with satisfactory accuracy while retaining its computational efficiency. Moreover, since the approximation method is independent of material models, it can facilitate the implementation of complex material models in FE analysis using shell/membrane elements in abaqus.
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      Numerical Approximation of Elasticity Tensor Associated With Green-Naghdi Rate

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4236075
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    contributor authorLiu, Haofei
    contributor authorSun, Wei
    date accessioned2017-11-25T07:19:52Z
    date available2017-11-25T07:19:52Z
    date copyright2017/16/6
    date issued2017
    identifier issn0148-0731
    identifier otherbio_139_08_081007.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4236075
    description abstractObjective stress rates are often used in commercial finite element (FE) programs. However, deriving a consistent tangent modulus tensor (also known as elasticity tensor or material Jacobian) associated with the objective stress rates is challenging when complex material models are utilized. In this paper, an approximation method for the tangent modulus tensor associated with the Green-Naghdi rate of the Kirchhoff stress is employed to simplify the evaluation process. The effectiveness of the approach is demonstrated through the implementation of two user-defined fiber-reinforced hyperelastic material models. Comparisons between the approximation method and the closed-form analytical method demonstrate that the former can simplify the material Jacobian evaluation with satisfactory accuracy while retaining its computational efficiency. Moreover, since the approximation method is independent of material models, it can facilitate the implementation of complex material models in FE analysis using shell/membrane elements in abaqus.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNumerical Approximation of Elasticity Tensor Associated With Green-Naghdi Rate
    typeJournal Paper
    journal volume139
    journal issue8
    journal titleJournal of Biomechanical Engineering
    identifier doi10.1115/1.4036829
    journal fristpage81007
    journal lastpage081007-8
    treeJournal of Biomechanical Engineering:;2017:;volume( 139 ):;issue: 008
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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