Thermoacoustic modeling of nonlocal cylindrical rods via memory-dependent derivatives
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DOI:
https://doi.org/10.15625/0866-7136/23483Keywords:
single-phase-lag, heat conduction, thermal stresses, thermoelastic, cylindrical rod, acoustic, thermal shock, nonlocalAbstract
This research investigates the application of a memory-dependent derivative (MDD) framework, utilizing diverse memory kernels to analyze thermoacoustic behaviors in media and materials affected by sound wave propagation. In solids such as copper, acoustic pressure significantly affects mechanical properties such as stress and deformation. By employing an advanced single-phase-lag (SPL) model, the study incorporates modern thermal conduction dynamics and nonlocal stress phenomena, effectively capturing delayed heat conduction and stress propagation for deeper insights into wave dynamics and material deformation. The research examines the effects of acoustic pressure on a cylindrical rod exposed to a moving Heaviside-type heat source, offering a detailed understanding of the interactions among thermal responses, mechanical elasticity, and acoustic wave propagation. For the Fourier series inversion method applied tonumerical Laplace transform inversion, copper is selected as the representative material for computational simulations. The findings hold great promise for optimizing advanced material designs in acoustic and thermal systems, paving the way for next-generation smart materials and adaptive technologies that meet sustainable, high-performance requirements.
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