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    Uniaxial Wave Propagation in a Viscoelastic Material Using Measured Material Properties

    Source: Journal of Applied Mechanics:;1968:;volume( 035 ):;issue: 003::page 449
    Author:
    W. G. Knauss
    DOI: 10.1115/1.3601234
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The dynamic response of a long viscoelastic bar due to a step displacement at the end is considered. Neglecting geometric dispersion, the effect of realistic viscoelastic material properties is studied theoretically. The solution is obtained in the form of a Fourier sine integral, the convergence of which is studied numerically by piecewise integration to produce an alternating series. It is found that the initial step wave propagates with a high velocity corresponding to the glassy modulus of the material and its amplitude decays with time and distance along the rod. From a practical viewpoint the wave front may decay to immeasurable proportions and any measurable disturbance appears to travel thereafter, with a velocity which is smaller than the glassy wave speed. The effect of initial temperature is discussed. It is shown for thermorheologically simple materials that both the time and spatial variable are scaled by the same temperature dependent (shift) factor. As a consequence, the difference of wave propagation in hard and viscoelastic polymers is illustrated. It is also shown that limited material characterization is sufficient for certain dynamic problems. Comparison of the exact solution with two approximations is made.
    keyword(s): Wave propagation , Viscoelastic materials , Materials properties , Waves , Temperature , Elastomers , Approximation , Displacement , Dynamic response AND Travel ,
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      Uniaxial Wave Propagation in a Viscoelastic Material Using Measured Material Properties

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    http://yetl.yabesh.ir/yetl1/handle/yetl/124168
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    contributor authorW. G. Knauss
    date accessioned2017-05-09T00:03:08Z
    date available2017-05-09T00:03:08Z
    date copyrightSeptember, 1968
    date issued1968
    identifier issn0021-8936
    identifier otherJAMCAV-25875#449_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124168
    description abstractThe dynamic response of a long viscoelastic bar due to a step displacement at the end is considered. Neglecting geometric dispersion, the effect of realistic viscoelastic material properties is studied theoretically. The solution is obtained in the form of a Fourier sine integral, the convergence of which is studied numerically by piecewise integration to produce an alternating series. It is found that the initial step wave propagates with a high velocity corresponding to the glassy modulus of the material and its amplitude decays with time and distance along the rod. From a practical viewpoint the wave front may decay to immeasurable proportions and any measurable disturbance appears to travel thereafter, with a velocity which is smaller than the glassy wave speed. The effect of initial temperature is discussed. It is shown for thermorheologically simple materials that both the time and spatial variable are scaled by the same temperature dependent (shift) factor. As a consequence, the difference of wave propagation in hard and viscoelastic polymers is illustrated. It is also shown that limited material characterization is sufficient for certain dynamic problems. Comparison of the exact solution with two approximations is made.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleUniaxial Wave Propagation in a Viscoelastic Material Using Measured Material Properties
    typeJournal Paper
    journal volume35
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3601234
    journal fristpage449
    journal lastpage453
    identifier eissn1528-9036
    keywordsWave propagation
    keywordsViscoelastic materials
    keywordsMaterials properties
    keywordsWaves
    keywordsTemperature
    keywordsElastomers
    keywordsApproximation
    keywordsDisplacement
    keywordsDynamic response AND Travel
    treeJournal of Applied Mechanics:;1968:;volume( 035 ):;issue: 003
    contenttypeFulltext
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