Stress Analysis of Functional Graded Sandwich Beams Subjected to Thermal Shock

摘要

A finite element formulation for thermal stresses analysis of functionally graded material (FGM) sandwich beam subjected to thermal shock is presented. A layerwise higher-order theory is used to obtain the stress-strain relationship for three layered functionally graded material sandwich beam. The solution of temperature profile is obtained by using Crank-Nicolson method and a continuity of temperature is maintained across the layer interface. Top and bottom layers of the three layered beam is assumed to be made of ceramic and metal, whereas the core is made of FGM and the elastic properties of FGM core are varied according to a power-law function. The top surface is exposed to a thermal shock and the bottom surface of the panel is either kept at a reference temperature or thermally insulated. The governing equations are solved using Newmark average acceleration method. Parametric studies have been carried out to investigate behavior of transient stresses under varying geometric and thermal boundary conditions.