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As the "dangling ends," which are the polymer chain segments attached to the network by only one entanglement point, do not contribute to the G value, because they cannot store elastic energy, a correction is needed in (7) [ 46]: (8) G ≅ R · T · c M e 1 − 2 M e M n, where M n is the number average molecular weight.
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Additionally, we identify and enumerate clusters of entanglement points with high functionality as effective topological constraints on macromolecular chains.
Entanglement between the other molecules was assumed by a repulsive interaction between the chain and randomly located entanglement points.
The load was transferred to the fabric through a set of fibers linked to the entanglement points, which formed an active skeleton.
The short time response of PDMS, which involves the glassy modes of relaxation, is modeled by considering Rouse diffusion between entanglement points of chains with M>Mceff.
As concentration is increased above the critical value for network formation, the platelets are stretched into narrow ribbons connected at entanglement points.
The fraction of fibers in the skeleton depended on the orientation and it was controlled by the features of the entanglement points.
The constitutive model included the main deformation and failure mechanisms experimentally observed (fiber uncurling, re-orientation, non-affine deformation, anisotropic connectivity induced by the entanglement points as well as fiber disentanglement and pull-out from the knots).
The decrease of the relaxation time ratio (τ3/τ1) with temperature, noted for all the PS molecular weights investigated, suggests a decrease in the number of entanglement points with an increase in temperature above Tg+20°C.
Most of the strength and energy dissipation was provided by the progressive extraction of the fibers in the skeleton from the entanglement points and final fracture occurred by the total disentanglement of the fiber network in a given section at which the macroscopic deformation was localized.
It was found that the hydrodynamic volume of PVA decreased regularly and smoothly with the number of freezing thawing cycles treatment increasing, as the intra-molecular entanglement points made the polymer chain contract, and even in a full compacted globule state, there were still some solvent molecules in the chain.
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