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    Large Deformations of a Rotating Solid Cylinder for Non-Gaussian Isotropic, Incompressible Hyperelastic Materials

    Source: Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 001::page 115
    Author:
    C. O. Horgan
    ,
    G. Saccomandi
    DOI: 10.1115/1.1349418
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The purpose of this research is to investigate the steady rotation of a solid cylinder for a class of strain-energy densities that are able to describe hardening phenomena in rubber. It is well known that use of the classic neo-Hookean strain energy gives rise to physically unrealistic response in this problem. In particular, solutions exist only for a sufficiently small angular velocity. As the velocity approaches this limiting value, the analysis predicts that the rotating cylinder collapses to a disk. It is shown here that this nonphysical behavior does not occur when generalized neo-Hookean models, which exhibit hardening at large deformations, are used.
    keyword(s): Stress , Rotation , Deformation , Cylinders , Hardening , Disks , Collapse AND Rubber ,
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      Large Deformations of a Rotating Solid Cylinder for Non-Gaussian Isotropic, Incompressible Hyperelastic Materials

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    http://yetl.yabesh.ir/yetl1/handle/yetl/124760
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    contributor authorC. O. Horgan
    contributor authorG. Saccomandi
    date accessioned2017-05-09T00:04:08Z
    date available2017-05-09T00:04:08Z
    date copyrightJanuary, 2001
    date issued2001
    identifier issn0021-8936
    identifier otherJAMCAV-926183#115_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124760
    description abstractThe purpose of this research is to investigate the steady rotation of a solid cylinder for a class of strain-energy densities that are able to describe hardening phenomena in rubber. It is well known that use of the classic neo-Hookean strain energy gives rise to physically unrealistic response in this problem. In particular, solutions exist only for a sufficiently small angular velocity. As the velocity approaches this limiting value, the analysis predicts that the rotating cylinder collapses to a disk. It is shown here that this nonphysical behavior does not occur when generalized neo-Hookean models, which exhibit hardening at large deformations, are used.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLarge Deformations of a Rotating Solid Cylinder for Non-Gaussian Isotropic, Incompressible Hyperelastic Materials
    typeJournal Paper
    journal volume68
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1349418
    journal fristpage115
    journal lastpage117
    identifier eissn1528-9036
    keywordsStress
    keywordsRotation
    keywordsDeformation
    keywordsCylinders
    keywordsHardening
    keywordsDisks
    keywordsCollapse AND Rubber
    treeJournal of Applied Mechanics:;2001:;volume( 068 ):;issue: 001
    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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