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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of materials science 20 (1985), S. 1920-1928 
    ISSN: 1573-4803
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In a previous paper, a constitutive equation of relaxation behaviour of time-dependent chemically unstable materials has been developed by employing the irreversible thermodynamics of internal variables and Eyring's absolute reaction theory. In that paper, a theoretical expression for the effect of chemical crosslink density,v, on the relaxation rate has been developed. In this paper the creep behaviour of a network polymer undergoing a scission process has been developed. The temperature effect using the WLF equation on the coupled chemomechanical behaviour has also been incorporated into the equation.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Acta mechanica 25 (1977), S. 229-240 
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Description / Table of Contents: Zusammenfassung Die spezifische Helmholtzsche freie Energie nichtlinear-viskoelastischer, isotroper, fester Polymere wird als separable, symmetrische Funktion der FormΨ=ψ(λ 1,q n (1))+ψ(λ 2,q n (2))+ψ(λ 3,q n (3)) angenommen mit den drei Hauptdehnungsverhältnissenλ r (r=1, 2, 3) und inneren Zustandsvariablenq n ( r ). Es wird gezeigt, daß dann das mechanische Verhalten der viskoelastischen festen Polymere schnell charakterisiert werden kann.
    Notes: Summary The specific Helmholtz free energy of nonlinear viscoelastic isotropic polymer solids is assumed to be a separable, symmetric function along three orthogonal principal strain directions, i.e.Ψ=ψ(λ 1,q n (1))+ψ(λ 2,q n (2))+ψ(λ 3,q n (3)), where theλ r (r=1, 2, 3) are three principal stretch ratios and theq n ( r ) are a set of internal state variables. It is shown that, by using this postulated form of the free energy function, one can readily characterize the mechanical response of viscoelastic polymer solids.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 0098-1273
    Keywords: Physics ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: In order to obtain an analytical expression for the stored energy function W of slightly compressible rubberlike materials, two recent results are used to obtain a unified expression \documentclass{article}\pagestyle{empty}\begin{document}$$ W(\Gamma _1 ,\Gamma _2 ,\Gamma _3 ) = \sum {a_n } \left( {\frac{{\Gamma _1 }}{{\Gamma _2 }}} \right)^{\alpha _n } \frac{{(\Gamma _3^{1/2} - 1)^2 }}{{2K_0 }} + H(\Gamma _1 ,\Gamma _2 ) $$\end{document} where Γi are a new set of invariants, and H(Γ1,Γ2) is the shear part of the stored energy function which is now assumed to be a separate symmetric function of the modified stretch ratio, λi* = λi/I31/6, i.e., \documentclass{article}\pagestyle{empty}\begin{document}$$ H(\Gamma _1 ,\Gamma _2 ) = h(\lambda _1^* ) + h(\lambda _2^* ) + h(\lambda _3^* ) $$\end{document} Various analytical forms of h(λi*) are proposed. Also, a straightforward transformation technique is formulated such that one can easily relate the stress-strain relation in terms of modified stretch ratio λi* to the new invariants Γi. Thus, by a combination of the above equations and the transformation technique, one may readily determine the elastic strain energy function of slightly compressible materials from careful measurements of the volume change in multiaxial deformations.
    Type of Medium: Electronic Resource
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