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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