Spatiotemporal Nonlocal Thermoelastic Model with Caputo-Tempered Fractional Derivatives for Infinite Thermoelastic Porous Half-Space with Voids

مقال فى مجلة

2025

تم النشر فى: http://jcamech.2025.390564.1372

This study presents a novel generalized nonlocal thermoelastic

model for porous materials with voids, addressing key limitations

in traditional thermoelasticity frameworks. The proposed model

builds on the two-phase lag (TPL) theory, incorporating spatial

and temporal nonlocal effects to account for microscale and

memory-dependent behaviors in porous structures. A significant

innovation lies in integrating Caputo-tempered fractional

derivatives, which introduce exponential tempering to mitigate

the long-range memory effects associated with standard

fractional derivatives. This refined mathematical framework

provides an enhanced and accurate representation of the

dynamic thermomechanical behavior of elastic materials with

voids. To validate the model, the transient response of a semiinfinite

porous medium subjected to a non-Gaussian lasershaped

heat flux on its free, stress-free surface is analyzed. This

study fills a critical research gap by evaluating the combined

influence of nonlocal spatial-temporal effects, phase delay, and

tempered fractional parameters on the size-dependent

thermomechanical responses of half-space porous

nanostructures. Key findings reveal that incorporating tempered

fractional derivatives significantly improves the predictability of

thermal and mechanical responses while offering a more realistic

depiction of energy dissipation and wave propagation. These

contributions highlight the potential of the proposed model for

advancing the understanding and optimization of porous

nanostructures in engineering applications.

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