The results obtained in Part I, on Polydimethylsiloxane (PDMS) networks filled with treated Aerosil A300 silica at variable temperature and various loadings, have been used to test the quantitative models of the Payne effect proposed by Kraus, Huber-Vilgis, and Maier-Göritz. Each model is able to account only for a part of the experimental results: Kraus and Maier-Vilgis for the variation of the Payne effect with filler volume fraction, Maier-Göritz for the influence of temperature on the Payne effect. But neither of these quantitative models is able to fit the whole set of experimental results on G′ and G″ with a unique set of parameters.

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