Higher-order dual phase-lag thermomechanical modeling of the human eye incorporating memory Kernels and Klein–Gordon nonlocal elasticity
摘要
This study presents a comprehensive thermal–mechanical analysis within the framework of higher-order dual phase-lag (DPL) ocular thermomechanics, incorporating both memory-dependent kernels and Klein–Gordon-type nonlocal elasticity. The eye is idealized as six anatomically distinct zones—cornea, aqueous humor, lens, vitreous humor, retina, and sclera—with symmetry assumed along the pupillary axis to streamline geometric modeling and computational efficiency. Continuity conditions are enforced at interfacial boundaries to ensure smooth thermal transitions, while physiological and environmental heat exchange is represented through boundary conditions on the corneal and scleral surfaces. Realistic ocular exposure is simulated via an exponentially decaying external heat source, with traction-free and stress-free mechanical constraints imposed. The governing equations are solved analytically using Laplace transforms, followed by numerical inversion to obtain time-domain solutions. Temperature distributions, mechanical displacements, and thermal stresses are evaluated across ocular layers, with graphical results highlighting the pronounced sensitivity of these fields to variations in thermal relaxation times and kernel selection. The findings underscore the importance of non-Fourier effects in ocular bioheat transfer and provide valuable insights for biomedical applications, including precision laser therapies, noninvasive thermal diagnostics, and controlled drug delivery.