Thermoelastic Interaction in A Spherically Symmetric Hollow Sphere via Three-Phase Lag and Memory Effect

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Patil Jitendra; Jadhav Chandrakant; Chandel Nitin; Varghese Vinod

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2024 | Volume:16 | Issue:4 Page(s): 427-448

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Information Journal Paper

Title

Thermoelastic Interaction in A Spherically Symmetric Hollow Sphere via Three-Phase Lag and Memory Effect

Author(s)

Patil Jitendra | Jadhav Chandrakant | Chandel Nitin | Varghese Vinod | Issue Writer Certificate

Keywords

Thermoelasticity

Fractional-order

Three-phase-lags

Nonsimple media

Hollow sphere

Spherically symmetric system

Abstract

This model considers the impact of microscopic structure on a nonsimple thermoelastic hollow sphere with a spherically symmetry exposed to thermal shock-type heat supply on the inner and outer curved surface. The influence of temperature discrepancy factor and phase-lag in the context of a memory-dependent derivative are examined. The study utilizes the Fourier series Laplace inversion method to obtain numerical solutions across different physical domains, and graphically illustrates transient responses such as temperature, displacement, and stress. The study indicates that the memory-dependent derivative accurately represents the memory effect, which is the rate of change influenced by the previous state, potentially aiding in better heat management of nonsimple media. The study compares temperature distributions in non-Fourier and classical Fourier models, revealing wave-like phenomena in fractional heat transfer that are not observed in classical heat conduction. Based on the proposed model, we can derive specific previous thermoelasticity models as special cases. The article's physical viewpoints could be helpful in the development of novel materials for modeling nanoscale heat transport problems in various devices. This study aims to provide future researchers with a comprehensive understanding of nonsimple three-phase lags thermoelasticity, including a detailed analysis of the memory effect.

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