Frequency- and temperature-dependent Payne effect and hysteresis loss of carbon black filled rubbers: Experimental study and model prediction
Boyuan Yin, Haibo Wen, Wenbo Luo, Ming Li
Abstract
Many constitutive models have been proposed to model the Payne effect and to predict the hysteresis loss of the carbon black (CB)-filled rubber-like materials, but few works are related to clarifying which model is the more suitable one to model the Payne effect and to predict the energy dissipation. To this end, we present detailed comparisons of the classic quantitative models of the Payne effect proposed by Kraus, Huber-Vilgis and Maier-Göritz. The Payne effect is experimentally investigated under various frequency and temperature conditions, and the corresponding hysteresis loss loops are determined by DMA measurements. Classic quantitative models are used to describe the Payne effect and a viscoelastic model consisting of dynamic strain amplitude and loss modulus is used to calculate the energy dissipation, which can be used to verify the applicability of the classic quantitative models. The results show that the Maier-Göritz model is more suitable to describe the Payne effect, especially for the loss modulus. After comparison of the calculated energy dissipation with the experimental data, the Maier-Göritz model has the ability to predict the hysteresis loss.