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    On Obtaining Solutions in Nonlinear Viscoelasticity

    Source: Journal of Applied Mechanics:;1968:;volume( 035 ):;issue: 001::page 129
    Author:
    R. M. Christensen
    DOI: 10.1115/1.3601125
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A derivation is given of a particular form of the isothermal nonlinear stress constitutive relation for materials with fading memory. This particular derivation results in a form for the constitutive relations that is well suited for application in solving boundary-value problems. The resulting forms are applied to obtain the exact quasi-static solution for the torsion of a right circular isotropic viscoelastic cylinder. Several effects due to the nonlinearity of the problem are discussed.
    keyword(s): Viscoelasticity , Torsion , Constitutive equations , Boundary-value problems , Cylinders AND Stress ,
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      On Obtaining Solutions in Nonlinear Viscoelasticity

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    contributor authorR. M. Christensen
    date accessioned2017-05-09T00:05:04Z
    date available2017-05-09T00:05:04Z
    date copyrightMarch, 1968
    date issued1968
    identifier issn0021-8936
    identifier otherJAMCAV-25866#129_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/125334
    description abstractA derivation is given of a particular form of the isothermal nonlinear stress constitutive relation for materials with fading memory. This particular derivation results in a form for the constitutive relations that is well suited for application in solving boundary-value problems. The resulting forms are applied to obtain the exact quasi-static solution for the torsion of a right circular isotropic viscoelastic cylinder. Several effects due to the nonlinearity of the problem are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Obtaining Solutions in Nonlinear Viscoelasticity
    typeJournal Paper
    journal volume35
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3601125
    journal fristpage129
    journal lastpage133
    identifier eissn1528-9036
    keywordsViscoelasticity
    keywordsTorsion
    keywordsConstitutive equations
    keywordsBoundary-value problems
    keywordsCylinders AND Stress
    treeJournal of Applied Mechanics:;1968:;volume( 035 ):;issue: 001
    contenttypeFulltext
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