Thermo-mechanical interactions in moving fractional Zener nanobeams on a Winkler foundation considering small-scale effects

Abstract

This study introduces explicit thermoelastic models to explore thermo-mechanical interactions in moving nanobeams situated on a Winkler foundation. By incorporating small-scale effects and memory-dependent behaviors, these models aim to provide a more accurate depiction of nanostructure responses under thermal and mechanical loads. Notably, the utilization of the fractional Zener model with the Caputo derivative and the dual-phase lag (DPL) model for heat transfer showcases advancements in accounting for delayed heat propagation and time-dependent thermal behaviors. These innovative models underscore the significance of considering small-scale effects and memory-dependent behaviors in the design and analysis of nanoscale mechanical systems. The research holds particular relevance for applications in nano-electromechanical systems (NEMS), biomedical devices, and advanced materials engineering, where precise forecasts of thermal and mechanical responses play a crucial role in optimizing performance and reliability.

Keywords

• Small-scale effects
• Fractional Zener model
• Nanobeams
• Winkler foundation
• Numerical heat transfer models