A Hyper-Pseudoelastic Model of Cyclic Stress-Softening Effect for Rubber Composites

Rubber composites are hyperelastic materials with obvious stress-softening effects during the cyclic loading-unloading process. In previous studies, it is hard to obtain the stress responses of rubber composites at arbitrary loading-unloading orders directly. In this paper, a hyper-pseudoelastic model is developed to characterize the cyclic stress-softening effect of rubber composites with a fixed stretch amplitude at arbitrary loading-unloading order. The theoretical relationship between strain energy function and cyclic loading-unloading order is correlated by the hyper-pseudoelastic model directly. Initially, the basic laws of the cyclic stress-softening effect of rubber composites are revealed based on the cyclic loading-unloading experiments. Then, a theoretical relationship between the strain energy evolution function and loading-unloading order, as well as the pseudoelastic theory, is developed. Additionally, the basic constraints that the strain energy evolution function must satisfy in the presence or absence of residual deformation effect are derived. Finally, the calibration process of material parameters in the hyper-pseudoelastic model is also presented. The validity of the hyper-pseudoelastic model is demonstrated via the comparisons to experimental data of rubber composites with different filler contents. This paper presents a theoretical model for characterizing the stress-softening effect of rubber composites during the cyclic loading-unloading process. The proposed theoretical model can accurately predict the evolution of the mechanical behavior of rubber composites with the number of loading-unloading cycles, which provides scientific guidance for predicting the durability properties and analyzing the fatigue performance of rubber composites.