Characteristics of nonlocal fractional magneto-thermoviscoelastic waves in a micro-rod heated by a moving heat source

Abstract

This research formulates a nonlocal systemic model to integrate viscoelastic and thermal deformations in solid structures based on fractional thermo-viscoelasticity theory. This enhanced model offers a more comprehensive understanding by integrating several existing theories. We apply the model to a one-dimensional problem involving a micro-rod made of an electrically conductive polymer, heated by a moving heat source. The analysis employs Laplace transforms with numerical inversion to determine the effects of fractional order, nonlocal elasticity, and nonlocal thermal conduction on thermal dispersion and the thermoviscoelastic response. Comparative figures illustrate the impact of an applied magnetic field. Results show that nonlocal thermal and viscoelastic parameters significantly influence all measured field values, potentially providing guidelines for the design and analysis of thermal-mechanical features in nanoscale devices.