Thermal Mechanical Bending Response of Symmetrical Functionally Graded Material Plates

Abstract

This paper investigates the thermal mechanical bending response of symmetric functionally graded material (FGM) plates. This article proposes a thermodynamic analysis model of both the FGM plate and FGM sandwich plate, and the model only involves four control equations and four unknown variables. The control equation is based on the refined shear deformation theory and the principle of minimum potential energy. The Navier method is used to solve the control equation. According to the method, numerical examples are provided for the thermo-mechanical bending of the symmetric FGM plate and FGM sandwich plate under a simply supported boundary condition, and the accuracy of the model is verified. Finally, parameter analysis is conducted to investigate the effects of the volume fraction index, side-to-thickness ratio, thermal load, and changes in core thickness on the thermal mechanical bending behavior of the symmetric FGM plate and FGM sandwich plate in detail. It was found that the deflection of the FGM plate is greater than that of the FGM sandwich plate, while the normal stress of the FGM plate is smaller than that of the FGM sandwich plate. Moreover, the FGM plate and FGM sandwich plate are sensitive to nonlinear temperature changes.

Contribution of Various Loads to the Convex Shape of Rock Wool Insulation Slabs during Production

“…Although mechanically and thermally loaded systems Multiple studies on combined temperature and mechanical loading influence on the stress-strain state of steel [4] and other constructions [5] were performed in the past, especially concerning fire safety. Although mechanically and thermally loaded systems have been analytically solved for various complex situations, e.g., [6,7], real-life examples usually become too complex for analytical solving and therefore experimental, in combination with numerical methods, are often used [8]. e.g., Lausova et al [9,10] performed an experiment validated by numerical finite element (FE) simulation of a steel frame structure under fire loading, which caused a non-uniform temperature load over the cross-section and thus additional internal forces.…”