Thermoelastic Modeling of Fiber-Reinforced Composites with Gravity and Variable Reference Temperature: A Dual-Phase Green–Naghdi Theory Approach

An investigation is presented into the coupled thermo-mechanical behavior of a fiber-reinforced composite solid, with specific consideration given to the influences of gravity and thermal preconditions under inclined loading. The theoretical foundation of this work is based on the generalized dual-phase Green–Naghdi theory for constitutive modeling. Normal mode analysis has been utilized in the fundamental equations of coupled thermoelasticity. Ultimately, the derived equations are expressed as a vector-matrix differential equation, which is subsequently solved using the eigenvalue method. The outcomes of this analysis are then interpreted through numerical simulations, the details of which are presented graphically and discussed comprehensively to draw pertinent conclusions. A detailed parametric study was conducted to elucidate the individual and synergistic effects of these parameters on the material’s behavior. The findings confirm the model’s efficacy in capturing complex thermo-mechanical couplings, providing a robust framework for the design and optimization of composite structures in different environments. Analysis of the results indicates that the gravity field, reference temperature, and inclined load all exert a notable influence on the physical field variables. Furthermore, the numerical calculations performed in MATLAB R2013a demonstrate close consistency with the theoretical solution, verifying the model’s accuracy.