Abstract
By approximating a stepwise change in microstructure in the direction of compositional change, an analytical technique estimating the effect of the microstructure on thermoelastic problems in functionally graded materials (FGMs) is proposed. At first, the homogenized thermal and elastic properties used in the macroscale problem are obtained by the asymptotic homogenization approach and FEM. The macroscale thermoelastic problem is analytically solved through the use of the homogenized properties. Then, the plane stress approximation is employed to apply 2D homogenization to the microscale thermal stress field, and the microscale thermal stresses are computed by FEM. Numerical calculations are carried out for the case of the FGM plate which consists of ceramic (PSZ) and metal (SUS304) phases varying across the thickness. In the light of fracture and delamination, the distributions of the maximum principal stress are illustrated.
