The effect of oblique functional gradation to thermal stresses in the functionally graded infinite strip

Summary Thermal stresses in a functionally graded infinite strip (FGIS) which has an oblique boundary to its functional gradation are studied theoretically. The rigorous solution is derived by the use of the variable separation and the stress function methods. The material properties are assumed to be exponential functions of the position along the functional grading direction. Two types of boundary conditions are considered, one is the case of prescribed heat flux on the heating surface and the other is the case of prescribed temperature on the same surface. The numerical calculations are carried out for ZrO 2 /Ti-6Al-4V functionally graded materials (FGMs). The numerical results of temperature and thermal stresses are illustrated in figures for different values of obliqueness angle θ . Numerical results show that the temperature curve leans to the ceramic-rich side and the values of compressive and tensile stresses drastically decrease when the obliqueness angle θ varies from 0 to 90 degrees. For the positions of the maximum compression and the maximum tension, after they shift to the left-hand side from the origin ( X * = 0.0, θ = 0°), they shift to the right-hand side till θ = 90° passing the origin at 45°.