A Novel Conformable Fractional Model for Micropolar Thermo-Viscoelastic Materials under Multi-Temperature Framework

This study investigates fractional-order theory as applied to micropolar thermovisco-elastic materials within the framework of multi-temperature theory. Micro-polar model incorporates micro-rotations and scale-dependent effects, allowing for an advanced description of material's mechanical and thermal behavior. The multi-temperature approach further enhances the analysis by considering distinct temperature fields that may coexist within the material, accounting for non-equilibrium thermal processes. Normal mode analysis is utilized to obtain solutions for governing equations, enabling a systematic examination of wave propagation and dynamic responses. Additionally, numerical simulations are conducted using MATLAB to validate the analytical findings and illustrate the effects of fractional parameters, micropolar characteristics, and multi-temperature fields on stress, strain, and thermal distributions. The results reveal significant influences of these factors, providing valuable insights for advanced engineering applications, such as polymers, composites, and biological tissues, where complex thermal and mechanical interactions occur.