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Nonlinear viscoelastic properties and change in entanglement structure of linear polymer
Authors:Prof. Dr. Yoshinobu Isono  Toshihiro Kamohara  Atsushi Takano  Toshio Kase
Affiliation:(1) Department of Chemistry, Nagaoka University of Technology, Nagaoka Niigata 940-21, Japan;(2) Research and Development Center, Niipon Zeon Co., Ltd., 1-2-1 Yakoh, Kawasaki-ku, Kawasaki 210, Japan
Abstract:Simultaneous measurements of stress relaxation and differential dynamic modulus were made at 268 K over a time scale of 10 to 1045 s for nearly monodisperse polybutadiene (Mw=2.2x105, 1,2-structure 70%, Me=3600) and also one having coarse cross-linking (Mc=29000). Static shear strain ranged from 0.1 to 2.0. In a long-time region (t>tauk), the relaxation modulus G (gamma; t) could be expressed by the product G (0; t) h (y). The observed h(gamma) agreed well with the Doi-Edwards theory without use of IA approximation. Both the cured and uncured samples showed initial drop of the differential storage modulus Gprime (ohgr), gamma; t) followed by gradual recovery, but did not attain the value before shearing Gprime (ohgr, gamma; t) for the uncured sample showed smaller values than that for the cured one in the whole measured time scale at the higher strain, confirming the two origins of nonlinear viscoelasticity of well entangled polymer; induced chain anisotropy and induced decrement in entanglement density. GPrime (ohgr, gamma; t) curves for the cured sample agreed well with the BKZ predictions. But the curves for the uncured sample agreed well with the BKZ prediction only at the time scale of t<tauk. BKZ prediction showed significant upward deviations at t>tauk. Such the differences are discussed in terms of the two origins.Dedicated to Prof. John D. Ferry on the occasion of his 85th birthday.
Keywords:nonlinear viscoelasticity  stress relaxation  damping function  dynamic modulus  BKZ constitutive equation  crosslinking
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