Linear elastico-viscous properties of molten standard polystyrenes

Schausberger, A.; Schindlauer, G.; Janeschitz‐Kriegl, H.

doi:10.1007/bf01332600

Cited by 106 publications

(62 citation statements)

References 14 publications

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“…Nevertheless, the curves closely resemble the spectra observed for linear PS, when the latter has a molecular weight about an order of magnitude smaller than that of the microgel in Figure 3. 17 At 130°C the measured data fall within the power law region of the softening zone. Using only data points in Figure 3 obtained at this temperature, we can calculate the slope, d log(G′′(ω))/d log(ω).…”

Section: Resultsmentioning

confidence: 60%

Mechanical Behavior of Polystyrene Microgels

Roland¹,

Santangelo²,

Antonietti³

et al. 1999

Macromolecules

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Polystyrene microgels are nanometer-sized particles produced by polymerization and crosslinking in microemulsion. As a result of their internal network structure, microgels have negligible intermolecular entanglement interactions. This can have a profound effect on their rheology; it also leads to glassy fracture resembling the behavior of low molecular weight, linear polystyrene. At higher frequencies, the mechanical response of microgels is quite similar to that of linear polystyrene. Breakdown of time-temperature superpositioning occurs in the softening zone of the viscoelastic spectrum. In the glass transition region, the segmental relaxation function is broadened and exhibits an enhanced dependence on temperature. The latter two effects, due to the cross-linking of the microgels, are also seen in conventional, macroscopic networks.

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Section: Resultsmentioning

confidence: 60%

Mechanical Behavior of Polystyrene Microgels

Roland¹,

Santangelo²,

Antonietti³

et al. 1999

Macromolecules

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“…(20) Starting from measured data G', G " the discrete relaxation spectrum will be calculated first and from that, the discrete retardation spectrum is obtained. Our method can be demonstrated on a blend o f two (21) monodisperse polystyrenes of different molecular weight using the published dynamic mechanical data of Schausberger et al [16,17] as shown in Fig. 1.…”

Section: Calculated Discrete Relaxation and Retardation Spectramentioning

confidence: 97%

Determination of discrete relaxation and retardation time spectra from dynamic mechanical data

1989

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A powerful but still easy to use technique is proposed for the processing and analysis of dynamic mechanical data. The experimentally determined dynamic moduli, G'(co) and G"(co), are converted into a discrete relaxation modulus G (t) and a discrete creep compliance J(t). The discrete spectra are valid in a time window which corresponds to the frequency window of the input data.A nonlinear regression simultaneously adjust the parameters gi, 2i, i= 1,2,•.. N, of the discrete spectrum to obtain a best fit of G', G", and it was found to be essential that both gi and 2i are freely adjustable. The number of relaxa-

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“…In Figure 21 we plot viscosity data for all six samples reported in ref 30, together with viscosity and diffusion data on polystyrene collected by Watanabe 4 from different sources. The agreement for polystyrene seems to be quite satisfactory, although experimental viscosity data seem to have slightly smaller slopes than that of the model predictions.…”

Section: Polystyrene (Ps)mentioning

confidence: 99%

Single-Chain Slip-Link Model of Entangled Polymers: Simultaneous Description of Neutron Spin−Echo, Rheology, and Diffusion

2005

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The model presented in this paper describes simultaneously three different experimental techniques applied to different monodisperse polymer melts: neutron spin-echo (NSE), linear rheology, and diffusion. First, it shows that the standard tube model cannot be applied to NSE because the statistics of a one-dimensional (1D) chain in a three-dimensional (3D) random-walk tube become wrong on the length scale of the tube diameter, whereas all available NSE data are for scattering vectors in this range. Then a new single-chain dynamic slip-link model on the basis of a recent network model by Rubinstein and Panyukov is introduced. Instead of solving the model analytically, which would require uncontrolled approximations, the model is formulated in terms of stochastic differential equations, suitable for Brownian dynamics simulations. I perform these simple simulations, demonstrate that the model describes individual experiments well, and then compare the results with experiments on monodisperse polyethylene, polyethylene-propylene, polyisoprene, polybutadiene, and polystyrene. For all polymers, model parameters from one experiment are obtained, and the others are predicted without fitting. The results show some systematic discrepancies, suggesting possible inadequacy of the Gaussian chain model for some of the polymers, and possible inadequacy of time-temperature superposition.

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Linear elastico-viscous properties of molten standard polystyrenes

Cited by 106 publications

References 14 publications

Mechanical Behavior of Polystyrene Microgels

Mechanical Behavior of Polystyrene Microgels

Determination of discrete relaxation and retardation time spectra from dynamic mechanical data

Single-Chain Slip-Link Model of Entangled Polymers: Simultaneous Description of Neutron Spin−Echo, Rheology, and Diffusion

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