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  • 1
    Electronic Resource
    Electronic Resource
    On waves in slender elastic rods (1990)
    Springer
    Archive for rational mechanics and analysis 109 (1990), S. 39-61 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00377978
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the rheology of cold drawing. I. Elastic materialsDedicated to Hershel Markovitz on the occasion of his retirement from Carnegie Mellon. (1988)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part B: Polymer Physics 26 (1988), S. 1801-1822 
    Details
    ISSN: 0887-6266
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: In this, the first paper in a series on neck formation and steady-state drawing of polymeric fibers and films under uniaxial tension, the emphasis is laid on those aspects of the mechanics of cold drawing that are not sensitive to viscoelastic effects and, therefore, can be treated by use of constitutive assumptions appropriate to elastic materials. It is here shown that a unidimensional theory which has been employed to model the mechanics of slender bars in tension6 can be derived as an approximation for three-dimensional bars and, in a sense which can be made precise, is valid to within an error of the order of the fourth power of the thickness. A particular constitutive equation for incompressible, three-dimensional, elastic materials is explored in detail and is found to yield, for such slender bars as thin fibers and wide (but thin) strips of film, equations of equilibrium whose solutions are in good qualitative accordance with the necks and drawing configurations observed in practice.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/polb.1988.090260901
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  • 3
    Electronic Resource
    Electronic Resource
    On the rheology of cold drawing. II. Viscoelastic materialsDedicated, in admiration, to Louis Zapas. His studies of the mechanics of polymeric materials susceptible to cold drawing led us to formulate the theory presented here. (1992)
    Bognor Regis [u.a.] : Wiley-Blackwell
    Journal of Polymer Science Part B: Polymer Physics 30 (1992), S. 25-47 
    Details
    ISSN: 0887-6266
    Keywords: rheology of cold drawing of viscoelastic materials (theory) ; viscoelastic effects in neck formation in fibers and films (theory) ; Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: In this second paper in a series on cold drawing of polymeric fibers and films, asymptotic formulae are derived for the tension in thin bodies of nonlinearly viscoelastic materials subject to inhomogeneous stretching. The formulae, which are valid to within an error of fourth order in sample thickness, give the tension in fibers and films as functionals of the histories of the local stretch and its first two spatial gradients. It is shown that the theory obtained by taking the formulae to be exact is consistent with thermodynamical principles. Material response for various types of histories is discussed, and the theory is employed to calculate the creep response of fibers under static loads. Numerical solutions of the evolution equation for the stretch field in creep show that for an appropriate class of materials with slowly fading memory there is a range of applied loads for which an initially homogeneous deformation evolves into a well defined neck whose edges advance at high speed along the fiber and in so doing transform moderately stretched material into highly stretched (i.e., drawn) material. The calculated fiber profiles and the predicted dynamics of neck formation and growth are in good accord with familiar observations. A description is given of the circumstances under which one can use instantaneous (i.e., high speed) response functions to calculate fiber profiles in rapidly growing necks.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/polb.1992.090300104
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  • 4
    Electronic Resource
    Electronic Resource
    Mechanics of neck formation in the cold drawing of elastic films (1990)
    Stamford, Conn. [u.a.] : Wiley-Blackwell
    Polymer Engineering and Science 30 (1990), S. 1299-1302 
    Details
    ISSN: 0032-3888
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: A discussion is given of the unidirectional, but nonuniform stretch of long, wide strips of film. It is observed that each of the material functions, τ, β, γ, in a recently proposed unidimensional theory of neck formation and cold drawing for bars of small but not zero thickness is determined, in the case of a strip of film, by the strain-dependent shear modulus μ of the three-dimensional material of which the bar is composed. The dependence of the shear modulus μ on shear strain and of τ, β,and γ on axial stretch is evaluated for a model of an elastic material susceptible to cold drawing, and the calculated values of τ, β,and γ, are used to draw film profiles for various stages of neck formation.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pen.760302006
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  • 5
    Electronic Resource
    Electronic Resource
    Rheology of neck formation in the cold drawing of polymeric fibers (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Applied Polymer Science 45 (1992), S. 997-1004 
    Details
    ISSN: 0021-8995
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: An asymptotic formula has been obtained for the axial tension in nonlinear viscoelastic fibers undergoing inhomogeneous stretch. The formula, which is valid to within an error of the fourth order in diameter, expresses the tension per unit cross-sectional area in terms of the history of the local axial stretch and its first two derivatives with respect to distance along the fiber axis. The theory obtained by treating the formula as exact is consistent with thermodynamical principles, and permits computation of the stretch field resulting from a specified tensile loading history. Numerical results for creep under static load show that for an appropriate class of materials with slowly fading memory there is a range of applied loads for which an initially homogeneous deformation evolves into a well-defined neck whose edges, after a period of relatively quiescent incubation, advance rapidly along the fiber and in so doing transform moderately stretched material into highly stretched, i.e., drawn material. The calculated fiber profiles and the predicted dynamics of neck formation are in accord with familiar observations of neck formation in polymeric materials susceptible to cold drawing.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/app.1992.070450608
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  • 6
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    Unknown
    Implications of a nonlinearity in the theory of second sound in solids (1988)
    American Physical Society
    Details
    Publication Date: 1988-02-01
    Print ISSN: 0163-1829
    Electronic ISSN: 1095-3795
    Topics: Physics
    Published by American Physical Society
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