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Simple constitutive modelling of nonlinear viscoelasticity under general extension

Tsenoglou, Christos, 1954-, Voyiatzis Evangelos, Gotsis Alexandros

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URI: http://purl.tuc.gr/dl/dias/FD4EA322-7E6B-4EC4-B1BC-CD62194583A1
Έτος 2006
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
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Λεπτομέρειες
Βιβλιογραφική Αναφορά C. Tsenoglou, E. Vogiatzis and A. D. Gotsis, "Simple constitutive modelling of nonlinear viscoelasticity under general extension", J. Non-Newt. Flow Mech., vol. 138, no. 1, pp. 33-43, Sep. 2006. doi:10.1016/j.jnnfm.2006.05.002 https://doi.org/10.1016/j.jnnfm.2006.05.002
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Περίληψη

We study the behaviour of a single integral constitutive equation, capable of providing analytic expressions for the viscoelastic stress in extensional flows of a variety of deformation histories and geometries, ranging from uniaxial to equibiaxial. It is based on the use of a stress damping function, with a power-law dependence on the elongation, λ: h(λ) = 1/λn. The parameter n (0 ≤ n ≤ 2) signifies the nonlinear viscoelastic character of the material and, therefore, is an inverse measure of network connectivity strength of the underlying microstructure. This renders the constitutive approach applicable to incompressible polymers of a variable degree of branching, strain hardening and stress thinning behavior. Methods of connecting n with the macromolecular architecture and the alignment strength of the flow are also explored.

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