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    An Anisotropic Hyperelastic Constitutive Model With Fiber-Matrix Shear Interaction for the Human Annulus Fibrosus

    Source: Journal of Applied Mechanics:;2006:;volume( 073 ):;issue: 005::page 815
    Author:
    X. Q. Peng
    ,
    Z. Y. Guo
    ,
    B. Moran
    DOI: 10.1115/1.2069987
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Based on fiber reinforced continuum mechanics theory, an anisotropic hyperelastic constitutive model for the human annulus fibrosus is developed. A strain energy function representing the anisotropic elastic material behavior of the annulus fibrosus is additively decomposed into three parts nominally representing the energy contributions from the matrix, fiber and fiber-matrix shear interaction, respectively. Taking advantage of the laminated structure of the annulus fibrosus with one family of aligned fibers in each lamella, interlamellar fiber-fiber interaction is eliminated, which greatly simplifies the constitutive model. A simple geometric description for the shearing between the fiber and the matrix is developed and this quantity is used in the representation of the fiber-matrix shear interaction energy. Intralamellar fiber-fiber interaction is also encompassed by this interaction term. Experimental data from the literature are used to obtain the material parameters in the constitutive model and to provide model validation. Determination of the material parameters is greatly facilitated by the partition of the strain energy function into matrix, fiber and fiber-matrix shear interaction terms. A straightforward procedure for computation of the material parameters from simple experimental tests is proposed.
    keyword(s): Fibers , Shear (Mechanics) , Constitutive equations AND Annulus ,
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      An Anisotropic Hyperelastic Constitutive Model With Fiber-Matrix Shear Interaction for the Human Annulus Fibrosus

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/133003
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    contributor authorX. Q. Peng
    contributor authorZ. Y. Guo
    contributor authorB. Moran
    date accessioned2017-05-09T00:18:34Z
    date available2017-05-09T00:18:34Z
    date copyrightSeptember, 2006
    date issued2006
    identifier issn0021-8936
    identifier otherJAMCAV-26602#815_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/133003
    description abstractBased on fiber reinforced continuum mechanics theory, an anisotropic hyperelastic constitutive model for the human annulus fibrosus is developed. A strain energy function representing the anisotropic elastic material behavior of the annulus fibrosus is additively decomposed into three parts nominally representing the energy contributions from the matrix, fiber and fiber-matrix shear interaction, respectively. Taking advantage of the laminated structure of the annulus fibrosus with one family of aligned fibers in each lamella, interlamellar fiber-fiber interaction is eliminated, which greatly simplifies the constitutive model. A simple geometric description for the shearing between the fiber and the matrix is developed and this quantity is used in the representation of the fiber-matrix shear interaction energy. Intralamellar fiber-fiber interaction is also encompassed by this interaction term. Experimental data from the literature are used to obtain the material parameters in the constitutive model and to provide model validation. Determination of the material parameters is greatly facilitated by the partition of the strain energy function into matrix, fiber and fiber-matrix shear interaction terms. A straightforward procedure for computation of the material parameters from simple experimental tests is proposed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Anisotropic Hyperelastic Constitutive Model With Fiber-Matrix Shear Interaction for the Human Annulus Fibrosus
    typeJournal Paper
    journal volume73
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2069987
    journal fristpage815
    journal lastpage824
    identifier eissn1528-9036
    keywordsFibers
    keywordsShear (Mechanics)
    keywordsConstitutive equations AND Annulus
    treeJournal of Applied Mechanics:;2006:;volume( 073 ):;issue: 005
    contenttypeFulltext
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