<p>This pioneering study introduces a novel framework for analyzing the magneto-thermoelastic behavior of rotating viscoelastic nanorods, significantly advancing the modeling of nanoscale systems. By uniquely integrating the Kelvin–Voigt viscoelastic model with the Klein–Gordon nonlocal elasticity theory, this work captures intrinsic length and time-scale effects, enabling precise representation of small-scale interactions—a critical leap beyond existing approaches. The newly proposed model innovatively combines thermomass motion, internal heat sources, magnetic forces, and viscoelastic energy dissipation, establishing a comprehensive and robust framework for evaluating the nonlinear mechanical behavior of nanorods. Key contributions include the incorporation of viscoelastic energy dissipation, magnetic forces, drift velocity, and thermoviscoelastic relaxation times into a unified model, delivering unprecedented predictive accuracy for nanoactuators, sensors, and energy-harvesting systems. This addresses longstanding challenges in nanomechanical and nanoelectronic device design by providing practical solutions to enhance stability, mitigate overheating risks, and optimize performance. The governing equations, derived and solved using the Laplace transform technique, offer new insights into the effects of parameters such as drift velocity, rotation, thermoviscoelastic relaxation times, and internal heat source frequency, as demonstrated through graphical results. By bridging critical gaps in the literature, this work sets a new benchmark for nanoscale system reliability and performance across industries. Its novel integration of multiple physical phenomena and advanced theoretical frameworks distinguishes it from prior studies, paving the way for future research into anisotropic and heterogeneous nanostructures.</p>

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Analysis of magneto-thermoviscoelastic behavior in rotating thermal-infused nanorods: exploring thermomass dynamics and Klein–Gordon nonlocality effects

  • Gulshan Makkad,
  • Lalsingh Khalsa,
  • Ahmed Abouelregal,
  • Vinod Varghese

摘要

This pioneering study introduces a novel framework for analyzing the magneto-thermoelastic behavior of rotating viscoelastic nanorods, significantly advancing the modeling of nanoscale systems. By uniquely integrating the Kelvin–Voigt viscoelastic model with the Klein–Gordon nonlocal elasticity theory, this work captures intrinsic length and time-scale effects, enabling precise representation of small-scale interactions—a critical leap beyond existing approaches. The newly proposed model innovatively combines thermomass motion, internal heat sources, magnetic forces, and viscoelastic energy dissipation, establishing a comprehensive and robust framework for evaluating the nonlinear mechanical behavior of nanorods. Key contributions include the incorporation of viscoelastic energy dissipation, magnetic forces, drift velocity, and thermoviscoelastic relaxation times into a unified model, delivering unprecedented predictive accuracy for nanoactuators, sensors, and energy-harvesting systems. This addresses longstanding challenges in nanomechanical and nanoelectronic device design by providing practical solutions to enhance stability, mitigate overheating risks, and optimize performance. The governing equations, derived and solved using the Laplace transform technique, offer new insights into the effects of parameters such as drift velocity, rotation, thermoviscoelastic relaxation times, and internal heat source frequency, as demonstrated through graphical results. By bridging critical gaps in the literature, this work sets a new benchmark for nanoscale system reliability and performance across industries. Its novel integration of multiple physical phenomena and advanced theoretical frameworks distinguishes it from prior studies, paving the way for future research into anisotropic and heterogeneous nanostructures.