Temperature-dependent shear correction factors for thermal-structural stability of step-wise FGM panel with micromechanical properties

Abstract

As advanced structures, Functionally Graded Materials (FGMs) have been used in high temperature regions for aerospace, automobile, and commercial structures et al. In this regard, present study investigated thermo-elastic vibration and post-buckling behaviors for the FGMs model. And thermo-micromechanical modified shear correction factors are used for crucial evaluation to compensate the shear stress effects in thermal environments. Layer-wise modeled FGMs plates are investigated in the thermo-mechanical environment and it is more actual method to approach FGMs analysis. For the thermal-structural analysis, First-order Shear Deformation Theory of Plate (FSDTP) is employed with thermo-micromechanical properties. And, the materials are based on the power law distribution in the thickness direction of the model. Especially, the materials have non-homogeneous properties with varying gradually from one surface to the other. Material properties are assumed to be temperature dependent and neutral surface is adopted reference plane due to of asymmetry of the material properties in the thickness direction, because the mid-plane of the FGMs plate model is not equal to the neutral surface of the structure. Homogenization modeling of FGMs plates is investigated in the thermo-mechanical environment, and it is more actual method to approach FGMs analysis. In this regard, Mori-Tanaka Scheme (MTS) explicitly evaluates particle interactions, and the governing formulation is based on FSDTP and the von Karman strain-displacement equation to consider geometric nonlinearity. Furthermore, Newton-Raphson method is applied solve the thermal post-buckling analysis. In order to validate analyses, results are compared with previous data of continuous FGMs model. The influence of homogenized model and neutral surface on the thermo-elastic analysis of FGMs is also highlighted.