Influence of moving heat sources on thermoviscoelastic behavior of rotating nanorods: a nonlocal Klein–Gordon perspective with fractional heat conduction

مقال فى مجلة

2025

تم النشر فى: https://doi.org/10.1186/s13661-025-01992-1

This study investigated magneto-thermoelastic interactions in rotating viscoelastic
nanorods under moving heat sources, advancing the modeling of nanoscale systems.
A key innovation was the adoption of Klein–Gordon-type nonlocal elasticity theory,
which incorporated internal length and time scales to capture small-scale interactions
effectively. Additionally, a fractional heat conduction model using two-parameter
tempered-Caputo derivatives introduced memory effects and nonlocality, ensuring
finite thermal wave speeds and overcoming the limitations of the classical Fourier
model. The inclusion of the Kelvin–Voigt viscoelastic framework accounted for energy
dissipation, enhancing the model’s accuracy. By integrating rotation, viscoelasticity,
magnetic forces, and fractional heat conduction, the study developed a
comprehensive nonlinear model of nanorod behavior. Numerical simulations
demonstrated that fractional-order heat conduction and nonlocal elasticity
significantly influenced the thermal and mechanical responses, reducing
discrepancies in heat propagation predictions. These findings showed that the
fractional and tempering parameters controlled thermal dissipation rates and thermal
wave propagation velocity, ensuring physically realistic thermal responses. The
incorporation of nonlocal length scale and time scale parameters enabled accurate
representation of size-dependent behaviors, including stiffness reduction and stress
redistribution in nanorods. These parameters also influenced memory effects
affecting wave propagation and relaxation in viscoelastic materials.

• نوع عمل المنشور: Research paper
• مجلة/صحيفة: Boundary Value Problem