New Physically Consistent Yield Model to Optimize Material Design for Functionally Graded Vessels

The purpose of this research is to acquire an optimum design of FGMs for cylindrical and spherical vessels such that the whole material contributes to the load bearing. To do so, a reasonable yield strength profile for FGM is proposed and used in the material tailoring equation. In conjunction with equilibrium and compatibility equations as well as considering stress boundary conditions, a nonlinear ODE in terms of inclusion volume fraction is constituted and solved via applying initial conditions. For verification, a FE simulation made by ABAQUS software is performed that shows good agreement between the simulation and analysis results.