Uncertainty analysis of thermal stresses in shell structure subjected to thermal loads

This work is focused on developing a stochastic model to study the effect of randomness in material properties of functionally graded material, of shell structure under the effect of thermal shock. A modified and more general form of power law is utilized to functionally grade the shells along their thickness. Upon consideration of the uncertainty in the constituent properties of functionally graded material the transient temperature distribution and therefore the development of the thermal stresses in the shells are obtained and analysed. The conventionally used Monte Carlo simulation is performed for validating computationally efficient Response Surface Method based Perturbation technique, which is subsequently applied to perform stochastic analysis of thermal stresses. For various distribution patterns of the constituent materials in the functionally graded material, the randomness of thermal stresses across the thickness of the shell structure due to uncertainty in input properties is analysed. Moreover with different level of uncertainty the maximum stochasticity of thermal stresses is predicted and plotted.