Journal of the Textile Machinery Society of Japan - Transactions -
Online ISSN : 1883-8723
ISSN-L : 0040-5051
Non-linear Visco-elastic Behavior of Polyethylene
Part 2 : Applicability of the Theory of Viscoplasto-elasticity to Relaxation
T. YamaguchiM. MaedaH. Kawai
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1967 Volume 20 Issue 2 Pages T33-T36

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Abstract
Y. Sawaragi and H. Tokumaru advanced a phenomenological theory of visco-plasto-elasticity derived from a mechanical model composed of three kinds of elements---spring, dashpot and slider (Coulomb's frictional mechanism) ---to explain non-linear visco-elasticity. Here we discuss the applicability of this theory for non-linear relaxation. The necessary condition for applying the theory to relaxation is:
∂/∂ε0 [-∂Er0t)/∂ 1n t]>0
where
Er0t) : Relaxation modulus at time t in the strain ε0
The relaxation behavior of polyethylene (reported in previous paper) did not satisfy this condition and, accordingly, could not be represented by Sawaragi and Tokumaru's equation.
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