Thermo-elastic analysis of structurally damped functionally graded plate with micro-mechanical properties

Abstract

Thermal post-buckling and limit-cycle oscillation characteristics of structurally damped functionally graded materials (FGMs) plate are studied based on neutral surface using homogenization method. 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 are 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 in first-order shear theory (FSDT) and the von Karman strain-displacement equation to consider geometric nonlinearity. Newton-raphson method is applied solve the thermal post-buckling analysis, and time integration is applied to solve the limit-cycle oscillation by using Newmark's method. In order to validate the post-buckling and limit-cycle oscillations, results are compared with previous data of continuous FGMs model. The influence of homogenized model and neutral surface on the thermo-mechanic analysis of FGMs is also highlighted.