Investigating Aerothermodynamic Characteristics of Environmentally Friendly Materials in Composite Plates Embedded in a Kerr-Type Foundation Using Mathematics Formulation and Artificial Intelligence Techniques

This study investigates the aerothermodynamic behavior of eco-friendly functionally graded materials (FGMs) in composite plates subjected to supersonic airflow and thermal loads, critical for aerospace applications where structural stability, flutter suppression, and thermal resistance are paramount. Traditional metal-ceramic FGMs are replaced with sustainable alternatives bio-ceramics (rice husk ash silica) and bio-polymers (PLA) to reduce environmental impact while maintaining performance. The composite plate, embedded in a Kerr-type foundation to model shear and stiffness interactions, is analyzed as a three-directional FGM with temperature-dependent properties. A meshless method coupled with [Formula: see text]-function theory is employed to solve nonlinear governing equations derived from Sanders–Koiter nonlinear plate theory, enabling accurate prediction of large amplitude vibrations under thermal-aerodynamic coupling. To validate results, deep neural networks (DNNs) algorithm as an artificial intelligence technique is trained on datasets generated from the mathematical model, ensuring robustness in predicting nonlinear frequencies and dynamic responses. Key findings highlight the efficacy of eco-FGMs in mitigating flutter and thermal stresses, while the hybrid numerical-AI framework demonstrates superior adaptability to material heterogeneity and boundary conditions. This work advances sustainable material design for high-speed aerospace structures, offering a paradigm shift toward greener alternatives without compromising mechanical integrity.