Analysis of Dynamic Loss Tangent (tan δ) -Temperature Curve Relating to Molecular Motion of Polymer Chain in Amorphous Regions in Fibers and Fiber-Forming Polymeric Materials:Part 1 : Viscoelastic Body Composed of Single Relaxation Time
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A theoretical equation has been derived to determine the tan δ-temperature (T) curve of the system constituted of a single rleaxation time. The tan δ-T curves have been calculated by the theore tically derived eqation. The experimental results have shown that : <BR>(1) The three-element model combining the Maxwell element with a spring element is a most suitable as a viscoelastic model, which gives a peak in tan δ-T curve.<BR>(2) Determing the peak temperature in the δ-T curve, T<SUB>max</SUB> (K) and the apparent activation energy _??_H<SUB>a</SUB>, the half value width inherent in a tan δ-T curve has been calculable by the equation, _??_T<SUB>1/2(3)</SUB>=5.24×10<SUP>-3</SUP>T<SUB>max</SUB><SUP>2</SUP>/_??_H<SUB>a</SUB>.<BR>(3) The log tan δ-T curve can be approximated to the equilateral triangle.<BR>(4) The parameter B∞, defined by the equation; B∞=522vH<SUB>a</SUB>/T<SUB>max</SUB>, is proved to be convenient and resonable for determining the mechanism of a viscoelastic absorption.<BR>(5) The average _??_T<SUB>1/2</SUB> <SUB>(s)</SUB> of various polymers are 13 deg and 20 deg for theabsorption (a<SUB>a</SUB>) related to the microbrownian movement of segment in amorphous and the absorption (β<SUB>a</SUB>) related to the local movement of the main chain respectively. Thus, the value of β<SUB>a</SUB>-absorptions larger than those of a<SUB>a</SUB>-absorption.<BR>(6) The method is presented to determine the relaxation time at the glass transition temperature T<SUB>q</SUB> by using _??_H<SUB>a</SUB> and T<SUB>max</SUB>.
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