<p>Intricate interactions within porous media subjected to magnetic and thermal stimuli are analyzed using advanced thermoelastic and poroelastic models with phase lag effects to account for finite thermal and mechanical wave propagation velocities. The major purpose is to simulate the thermo-magneto-poroelastic behavior of isotropic porous materials under heat and magnetic fields and evaluate system responses using a full triple-phase lag (TPL) mathematical model. Author calculates heat conduction equations using TPL, poroelasticity, and electromagnetism. The model solves non-dimensional parameters using Laplace transformation and numerical inversion. Numerical studies demonstrate that phase lag parameters, thermal frequency, and magnetic field strength affect temperature, displacement, stresses, and pore water pressure. Because they delay and attenuate thermal and mechanical effects, phase lag models match experimental and theoretical data better than classical models. Magnetic fields stabilize stresses and pore pressures, especially at high intensities. Like thermoelastic and poroelastic thermal cycling processes, angular thermal frequency increases temperature oscillations, displacements, stresses, and pore pressures. The Poro-TPL model improves high-frequency and non-Fourier heat transfer prediction in porous media. When building and testing thermo-magneto-poroelastic systems in engineering and biomedicine, phase lag, thermal frequency, and magnetic influences must be considered.</p>

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Magneto-poroelastic responses in triple-phase lag thermoelastic media

  • Sami F. Megahid

摘要

Intricate interactions within porous media subjected to magnetic and thermal stimuli are analyzed using advanced thermoelastic and poroelastic models with phase lag effects to account for finite thermal and mechanical wave propagation velocities. The major purpose is to simulate the thermo-magneto-poroelastic behavior of isotropic porous materials under heat and magnetic fields and evaluate system responses using a full triple-phase lag (TPL) mathematical model. Author calculates heat conduction equations using TPL, poroelasticity, and electromagnetism. The model solves non-dimensional parameters using Laplace transformation and numerical inversion. Numerical studies demonstrate that phase lag parameters, thermal frequency, and magnetic field strength affect temperature, displacement, stresses, and pore water pressure. Because they delay and attenuate thermal and mechanical effects, phase lag models match experimental and theoretical data better than classical models. Magnetic fields stabilize stresses and pore pressures, especially at high intensities. Like thermoelastic and poroelastic thermal cycling processes, angular thermal frequency increases temperature oscillations, displacements, stresses, and pore pressures. The Poro-TPL model improves high-frequency and non-Fourier heat transfer prediction in porous media. When building and testing thermo-magneto-poroelastic systems in engineering and biomedicine, phase lag, thermal frequency, and magnetic influences must be considered.