A multicriterial material tailoring of a hollow cylinder in functionally gradient materials: Scheme to global reduction of thermoelastic stresses Original Research Article

A method of macroscopic material tailoring is formulated in order to reduce globally the thermal stresses induced in the functionally gradient materials (FGMs), with the help of the direct sensitivity analysis and the multiobjective optimization technique associated with the heat conduction/thermal stress analysis by means of incremental FEM. The spatial distribution of the volume fraction of phases is optimally determined under the following two constraints: The stress distribution is firstly, in the whole time-space domain, definitely inside an allowable band region, and then it approaches as close as possible to a given reference stress distribution inside the band. A hollow cylinder in a ceramics-metal FGM is tailored successfully when it is subjected to an asymmetric thermal boundary/initial condition.