Fractional thermoelastic analysis of infinite porous materials with cylindrical cavities and voids using a modified space-time-nonlocality kernel

Abstract

This paper presents a novel thermoelastic model designed to analyze the behavior of porous materials containing voids. The proposed model extends the two-phase lag theory (TPL) by incorporating inherent delays in thermal responses specific to such materials. A significant advancement over traditional elastic models is the inclusion of both spatial and temporal nonlocal effects, which are essential for accurately capturing the intricate microscopic interactions characteristic of porous structures. Furthermore, the integration of fractional Caputo-tempered derivatives into the heat conduction equation enhances the representation of memory effects, offering deeper insights into how prior deformations and thermal influences shape material behavior. The validity and applicability of the model were demonstrated through a detailed analysis of the transient thermo-mechanical response of an infinite porous body with a cylindrical cavity subjected to a time-dependent heat flux. Results were compared with findings from existing literature, enabling an evaluation of the effects of nonlocal interactions, phase delays, and fractional parameters on the observed responses. This comprehensive approach provides a more refined understanding of the dynamics of porous materials under combined thermal and mechanical loads, advancing the theoretical framework for such materials.