Gravitational Effects on the Dynamic Behavior of Double Porosity Fiber-Reinforced Thermoelastic Solids using the Moore-Gibson-Thompson Theory

Document Type : Research Paper

Authors
Mohamed I.A. Othman
Samia M. Said
Ebtesam E.M. Eraki
Esraa M. Gamal
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 4519, Egypt
10.22055/jacm.2025.48444.5235
Abstract
This article analyzes the outcome of the gravity field on a fiber-reinforced solid with double porosity and reference temperature within the framework of the Moore-Gibson-Thomson theory and the Green-Naghdi model. The governing equations are derived to incorporate the effects of reinforcement, gravitational force, and reference temperature. The variables are rendered dimensionless, and the resulting system of equations is solved analytically using the normal mode analysis method. Numerical comparisons of key thermoelastic functions, including stress, displacement, and temperature fields, are performed using MATLAB. The results highlight the significant role of gravitational force and reference temperature in modifying the thermoelastic response and reveal notable differences between the predictions of the two theories. This study provides a comprehensive understanding of the thermoelastic behavior of advanced fiber-reinforced materials, offering valuable insights for engineering applications involving thermal and mechanical interactions in porous media.
Keywords
Moore-Gibson-Thompson theory
Gravity
Fiber-reinforced
Double porous
Reference temperature
Subjects

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Journal of Applied and Computational Mechanics
Volume 12, Issue 2
Spring 2026
Pages 396-410