Polymer Physics

Chapter 6 Polymer Deformation 6.1 Characteristics of Polymer Deformation................... The Brownian motion of a polymer cha ...

motion of the whole chain via entanglement and hence drives molten polymers into the rubber state. The ability of polymers to ma ...

real rubbers, exists in the rubber state, and the mechanism is sensitive to the molar mass. Such an interaction mechanism is oft ...

Hereris the density of the polymer, andntis an empirical parameter that reflects how many interpenetrated chains on average are ...

fraction of polymers is lower, the interpenetrated chains in the unit volume become fewer, hence a largerpis required to accommo ...

permanent. However, both the generation and the recovery of deformation need certain time periods to reach their stationary stat ...

The non-Arrhenius-type fluids widely exist. The typical cases include the Vogel- Fulcher-Tamman (VFT) type (Vogel 1921 ; Fulcher ...

a deviation from the linear temperature dependence (Arrhenius type) of logarithmic relaxation time (or viscosity) at the glass t ...

If we stepwise increase the stresses, as demonstrated in Fig.6.9, the strain can be estimated from a linear summation of the ind ...

The Maxwell modelis a series connection of the two models above, representing the linear viscoelasticity(Maxwell 1867 ), as give ...

6.2.3 Time–Temperature Superposition Principle In the stress-relaxation experiment, we can often define the time-dependent modul ...

viscous response with permanent deformation, exhibiting the feature of a liquid. In ancient Greek, Heraclitus (540–475 B.C.) hel ...

The scenario above was called the thermorheological simplicity, which was first conveyed by Ferry in 1950 under the protocol of ...

The characteristic relaxation timetof the mobile units corresponds to a character- istic frequency 1/t. If the external frequenc ...

Thus the complex dielectric constant can be obtained as e^ ¼ D^ E^ ¼ D E expðidÞ¼eðcosdisindÞ¼e^0 ie^00 (6.35) Correspondingl ...

 0 ¼lim e! 0 E^00 ðoÞ o (6.37) and the recoverable shear compliance J 0 ¼lim e! 0 E^0 ðoÞ o^2 ^20 (6.38) remain constant, both ...

respectively. Therefore, the complex viscosity is jj^ ¼ð^02 þ^002 Þ^1 =^2 (6.47) Under high shear rates, the viscosity exhibi ...

from the interfaces, rigid amorphous near the interfaces, and the crystalline) will facilitate a better understanding to their m ...

local non-equilibrium states of polymers towards the equilibrium in the thermal fluctuations of a liquid. If |qA|>|qB|, upon ...

As illustrated in Fig.6.16a, melting transition occurs at the high-temperature region, and below the melting point, the entropy ...