Thermoelastic microbeams subjected to axial force and laser pulse energy absorption embedded in a viscoelastic foundation with fractional Kelvin-Voigt model
Ahmed E. Abouelregal, Marín Marín, Yazeed Alhassan, Mohamed E. Elzayady
Abstract
This study presented a novel exploration of the thermoelastic behavior of microbeams embedded in a viscoelastic foundation, modeled through the fractional Kelvin-Voigt framework. The research was motivated by the need for more accurate and comprehensive models to predict the complex interactions between thermal and mechanical responses in micro-scale structures. By incorporating the dual-phase lag (DPL) model, which accounted for non-Fourier heat conduction, the study addressed the limitations of classical models, offering a more precise representation of microbeam dynamics. The investigation focused on the combined effects of axial forces and laser pulse energy absorption, phenomena that induced intricate thermo-mechanical behaviors at the micro-scale. Analytical expressions for key variables, such as temperature distribution, deflection, and stress profiles, were derived using Laplace transform techniques. Numerical simulations provided detailed graphical insights into the influence of parameters like fractional order, foundation stiffness, and viscoelastic properties on the microbeam’s response. The integration of fractional viscoelastic modeling with the DPL heat conduction model represented a significant advancement in the field, enabling a better understanding of the interplay between thermal and mechanical processes. This research offered valuable contributions to the design and optimization of micro-scale systems, particularly in applications involving MEMS devices, thermal coatings, and advanced structural materials.