Nonlocal micropolar thermoelastic half-space: a higher-order model incorporating phase lags and nonlocal effects in space and time

Abstract

This research introduces a groundbreaking dual-phase-lag (DPL) thermoelastic theory that effectively models heat conduction and mechanical behavior at the nanoscale. By incorporating Klein-Gordon-type nonlocal elasticity, the study explicitly accounts for micropolar effects, as well as nonlocality in both space and time, while also integrating higher-order derivatives into the governing equations. The inclusion of characteristic internal length and time scale parameters allows for a comprehensive description of spatial and temporal nonlocalities. This advanced formulation bridges the gap between traditional continuum mechanics and nanoscale mechanics, presenting a robust framework for analyzing thermoelastic behavior in complex systems under nanoscale conditions. The model is specifically applied to a one-dimensional nonlocal generalized micropolar thermoelastic medium excited by laser pulse heating, unveiling several significant contributions. Notably, it enables accurate modeling of nanoscale heat conduction and wave propagation, offering detailed insights into the effects of micropolarity, nonlocality, and phase lags on temperature distributions, displacement fields, and stress responses. Furthermore, the findings have practical relevance for applications involving laser heating, nanostructured materials, and microelectromechanical systems (MEMS).