2010
DOI: 10.1016/j.jnoncrysol.2009.11.031
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Theoretical derivation of the WLF- and annealing equations

Abstract: a b s t r a c tBased on the deformation kinetics approach, the theoretical derivation is given of the empirical WLFequation of the time-temperature equivalence. The same is done for annealing at glass transition. The derivation provides a general theory for any loading history and replaces the inconsistent free volume model.

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Cited by 20 publications
(8 citation statements)
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“…Moreover, within the glass transition region. the relevance of the free volume theory for all HPMC-AAc co-polymers is demonstrated with appropriate values of fractional free volume (0.020–0.040) and thermal expansion coefficient (1.2–9.0 × 10 −4 deg −1 ) according to experience from research in the synthetic counterparts [ 46 ].…”
Section: Resultsmentioning
confidence: 99%
“…Moreover, within the glass transition region. the relevance of the free volume theory for all HPMC-AAc co-polymers is demonstrated with appropriate values of fractional free volume (0.020–0.040) and thermal expansion coefficient (1.2–9.0 × 10 −4 deg −1 ) according to experience from research in the synthetic counterparts [ 46 ].…”
Section: Resultsmentioning
confidence: 99%
“…due to quenching, the equation can be given in stresses, determinable from measurements of the rate behaviour. It is important to know that the same applies for glass transition as shown in reference [6]. to: ' 0 ¼ D= 0 , equal to ' ¼ D= 2 0 .…”
Section: Discussionmentioning
confidence: 97%
“…The fact that the data of Figure 3 follow the forward reaction Equation 30only, shows an always high driving stress of quenching experiments. As discussed in reference [6] for glass transition, the always high driving force can be explained as follows. On sudden cooling, the shrinkage and configurational change is confined by strong side bonds.…”
Section: Estimation Of the Nucleation Equationmentioning
confidence: 99%
“…Isotherms obtained from frequency sweep tests were shifted to a reference temperature using the time-temperature superposition principle [36,37]. Shift factor (αT) for superpositioning of isotherms can be obtained by using William-Landel-Ferry (WLF) equation and Arrhenius function [38,39] shown as Equations (1) and (2) respectively.…”
Section: Master Curvementioning
confidence: 99%