Viscoelastic materials demand sophisticated yet practical modeling solutions to capture complex polymer behavior across diverse applications, from finite element analysis to synthetic data interpretation, using a minimal set of parameters. The presented breakthrough non-linear generalized fractional Maxwell model transcends conventional limitations, delivering robust extrapolation capabilities essential for predicting performance under extreme operating conditions where traditional models may fail. Seamlessly integrated with the VESevo measurement tool, this combination enables rapid, non-destructive characterization of polymer components. Real-world tire applications demonstrate remarkable success in predicting friction performance and wear behavior, validating the transformative potential of this innovative framework for advancing material science and engineering.

• How non-linear fractional models provide robust extrapolation beyond classical viscoelastic approaches under extreme operating conditions
• Improved accuracy in representing viscoelastic master curves with minimal parameters across diverse polymers and applications
• Advantages of the generalized fractional Maxwell model’s pole-zero formulation for efficient and stable parameter identification
• Strategies to reduce experimental testing by integrating VESevo’s non-destructive data with advanced viscoelastic modeling
• How fitted viscoelastic curves enable accurate prediction of friction and wear in real tire applications