Thermoelastic behavior of a micropolar nanoscale medium with spatial-temporal nonlocality using a memory-dependent phase-delayed heat conduction model

This work introduces a novel extended micropolar thermoelastic model that addresses the limitations of classical nonlocal thermoelastic theories, which failed to represent the elastic response of nanostructures due to their neglect of the critical interplay between nonlocal time and nonlocal space. By explicitly incorporating this interaction, the proposed model advances the field by enhancing prediction accuracy for nanoscale applications. Furthermore, it integrates the two-phase-lag thermoelastic framework with memory-dependent derivatives, enabling it to capture the complex dynamic responses of nanostructures more effectively. Validation was achieved through the analysis of homogeneous and isotropic micropolar materials subjected to surface pulsed laser heating, employing the Laplace transform method for determining thermal physical field distributions. The numerical results, thoroughly examined and graphically presented, were compared with existing literature, confirming the model’s accuracy and reliability. Notably, the proposed model encompasses several prior models as special cases, underscoring its robustness, innovation, and broad applicability in addressing the challenges of nanoscale thermoelastic behavior.