In high-voltage (HV) cable systems, cable joints play a role in connecting various sections of cables into a whole, and silicone rubber is usually selected as the material for making cable accessories due to its high friction coefficient, high voltage resistance, and good insulation properties.

Generally, interference fit is used to provide pressure at the contact interface between the cable body and accessories (such as silicone rubber material). Cable accessories typically consist of several different materials, such as stress cones, high-voltage electrodes (semiconducting layers), and insulation layers. Silicone rubber cable joints are often a weak link in the safe operation of high-voltage cables due to their complex structure and material interfaces.

Over the years, statistics have found that cable accessory failures account for more than 70% of cable system failures, directly affecting the safe operation of the power grid system. Many scholars have studied the constitutive model of hyperelastic rubber materials and the interference fit of cable accessories. In terms of constitutive models, Yan Shan pointed out that under the condition of only having uniaxial tensile test data, the Yeoh model can be used to predict the performance of plane shear and equibiaxial tensile forces. In terms of interference fit, Fan Chengye et al. conducted theoretical analysis on the interference fit of the steel rubber steel model; An analysis was conducted on the interference fit of rubber rubber metal models, and the relationship between interference fit, deformation, and stress was studied; Liu Song conducted ANSYS simulation on the interference fit of the cable rubber model and studied the relationship between interference fit and surface pressure.

The interface stress of silicone rubber accessories occurs at locations where the thickness of the semiconducting layer is large; The Yeoh model can effectively describe the mechanical properties of silicone rubber materials and has high computational efficiency and stability; The insulation layer thickness and interference fit of silicone rubber accessories will affect their interface stress, with interference fit being the dominant factor. In this fault case, for every 0.01 m increase in interference fit, the absolute value of radial stress at the interference fit interface increases by approximately 0.17 Mpa; For every 0.01 m increase in insulation layer thickness, the absolute radial stress at the interference fit interface increases by approximately 0.006 5 Mpa. Therefore, in the stress design of cable joints, emphasis should be placed on controlling interference fit.