Optimization of Carbon Black/Silica Dual‐Phase Fillers in Solution‐Polymerized Styrene‐Butadiene Rubber: Hyperelastic Constitutive Modeling and Finite Element Validation

ABSTRACT Coordinated regulation of the comprehensive performance of rubber composites stands as a pivotal challenge in both academic research and engineering applications within the polymer field. Solution‐polymerized styrene‐butadiene rubber (SSBR) is recognized as a core material for high‐performance green tire treads, and the synergistic optimization of dual‐phase fillers (carbon black (CB) and silica) plays a decisive role in upgrading the material's integrated properties. In this study, solution‐polymerized styrene‐butadiene rubber composites were prepared with a fixed total filler content of 70 parts and varying carbon black/silica ratios. Their vulcanization characteristics, filler dispersion, interfacial interactions, and static/dynamic mechanical properties were systematically characterized. A hyperelastic constitutive model was fitted based on uniaxial tensile data, and finite element analysis was used to simulate their mechanical behavior, which was subsequently validated experimentally. The results indicate that when the silica content was 10 parts, a balance between wet skid resistance and rolling resistance was achieved through synergistic filler dispersion and enhanced filler–rubber interfacial bonding, yielding the optimal overall performance. The Ogden model ( N = 3) demonstrated the highest fitting accuracy, and the finite element analysis results were in excellent agreement with the experimental data. This study provides theoretical guidance for tire tread compound formulation design and offers a technical approach for predicting the performance of rubber composites.