Steady-state compliance polystyrene sample

Shown in Fig. 4.12 are the data of steady-state compliance J° of nearly monodisperse polystyrene samples obtained by different laboratories. Similar to the case with zero-shear viscosity, J° shows two regions with drastically different molecular-weight dependences, separated by a transition point M. Above M, J° is basically independent of molecular weight, and the data points fluctuate mainly because J° is very sensitive to the small variations among the molecular-weight distributions, even though all nearly monodisperse, of the studied samples. Below M, the relation of log(Jg) to log(Miu) has an apparent slope of one. The explanation for the... 

Fig. 10.11 Comparison of the steady-state compliance data, x pRT, of nearly monodisperse polystyrene samples ( and from Ref. 18 A from Ref. 33) and those calculated from Eq. (9.25) (solid line 1), from the Doi-Edwards theory (the dashed line), from the Rouse theory (the dotted line), and calculated numerically from substituting Eq. (9.19) into Eq. (4.63) with K jK = 1 (line 2), and K jK = 3.3 (line 3).

Fig. 15.1 Comparison of the s (AT)/sq values (with Sq = 1,500) of polystyrene samples A(o), B(0) and C(D obtained by analyzing the J(t) line shapes A by matching the calculated and experimental steady-state compliance values) with the diffusion enhancement factors /r(AT) of OTP ( isothermal desorption A NMR) as a function of AT = T — Tg. The solid line is calculated from the modified VTF equation (Elq. (14.13)) which best fits the s (AT)/sq results of the three polystyrene samples collectively. The dashed line represents the curve calculated from the modified VTF equation best fitting the fj, AT) data of OTP.

FIG. 17-21. Reduced steady-state compliance J°k plotted against cMy, with logarithmic scales for solutions (open circles) and undiluted samples (black circles) of narrow-distribution polystyrenes. Data from various measurements and various sources. (Graessley. ) Reproduced, by permission, from Advances in Polymer Science. 

Fig. 2.11. Creep-compliance measurements at several temperatures (indicated in the figure) on a polystyrene sample with molecular weight 46 900, reduced to 100 °C with shift factors calculated from the steady-state viscosity. Subscript p denotes multiplication by Tp/ TqPq). From Plazek [53], by permission.

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