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Primitive chain network simulations for randomly cross-linked slip-linknetworks were performed. For the percolated networks, the stress-strainrelationship was compared to the theories by Ball et al. [Polymer, 22, 1010(1981)] and Rubinstein and Panyukov [Macromolecules, 35, 6670 (2002)]. Thesimulation results were reasonably reproduced by both theories, given that thecontributions from cross-links and slip-links were used as fitting parameters.However, these parameters were model dependent. Besides, the theories cannotdescribe the simulation results if the parameters were determined from thenumber of active links involved in the percolated networks. These resultsreveal that the fitting of experimental data to the theories does not provide afraction of entanglements in the system unless the network only consists ofGaussian strands and it correctly reaches the state of free-energy minimum.

Elasticity of randomly cross-linked networks in primitive chain network simulations