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Background <p>Porous materials exhibit complex thermo-mechanical interactions due to their unique microstructures, making theirstudy vital for material design and thermal management. Traditional models often overlook time-dependent effects,which are essential for understanding porous media behavior under dynamic conditions.</p> Purpose <p>This study aims to develop a novel dual-phase lag porous thermoelastic (DPL-PTE) model that incorporates memorydependentderivatives to enhance the understanding of thermal and mechanical processes in porous media,particularly under transient conditions like thermal shock.</p> Methods <p>The coupled thermo-mechanical elasticity problem in a semi-infinite porous magnesium medium subjected tothermal shock is analyzed using the Laplace transform method. This approach derives distributions of nondimensionaldisplacement, volume fraction, thermal stress, and temperature, examining the effects of phase lags,time delays, and kernel functions.</p> Results <p>Incorporating memory-dependent derivatives and phase lags significantly influences the thermo-mechanicalbehavior of the porous magnesium medium, revealing how time delays and kernel functions affect materialresponses under thermal shock.</p> Conclusion <p>The study presents a robust DPL-PTE model that effectively captures time-dependent effects in porous media. Thefindings highlight the importance of phase lags, time delays, and kernel functions, laying a foundation for futureapplications in material design and thermal management.</p>

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Advanced Thermoelastic Modeling of Porous Materials with Dual-Phase Lag and Memory-Dependent Effects

  • 期刊论文

  • 发表日期：

    2025年1月28日

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  • Mohamed E. Elzayady,
  • Ahmed E. Abouelregal,
  • Taher S. Hassan,
  • Maha D. Alsharari

摘要

Background

Porous materials exhibit complex thermo-mechanical interactions due to their unique microstructures, making theirstudy vital for material design and thermal management. Traditional models often overlook time-dependent effects,which are essential for understanding porous media behavior under dynamic conditions.

Purpose

This study aims to develop a novel dual-phase lag porous thermoelastic (DPL-PTE) model that incorporates memorydependentderivatives to enhance the understanding of thermal and mechanical processes in porous media,particularly under transient conditions like thermal shock.

Methods

The coupled thermo-mechanical elasticity problem in a semi-infinite porous magnesium medium subjected tothermal shock is analyzed using the Laplace transform method. This approach derives distributions of nondimensionaldisplacement, volume fraction, thermal stress, and temperature, examining the effects of phase lags,time delays, and kernel functions.

Results

Incorporating memory-dependent derivatives and phase lags significantly influences the thermo-mechanicalbehavior of the porous magnesium medium, revealing how time delays and kernel functions affect materialresponses under thermal shock.

Conclusion

The study presents a robust DPL-PTE model that effectively captures time-dependent effects in porous media. Thefindings highlight the importance of phase lags, time delays, and kernel functions, laying a foundation for futureapplications in material design and thermal management.