Optimization Techniques to Obtain the Best Combination of Alloy Strength and Toughness^*

Mathematical tools are proposed for the optimization of chemical compositions of alloys and technological parameters of their processing during the development of new steel grades under considerable uncertainty. By reason of uncertainty, statistical models for mechanical properties of new alloys are used in optimization problems. Particularly, CVaR is used to estimate the right tail of CVN (Charpy V-Notch impact on toughness) distribution. This implies the use of nonconcave (convex) objective functions in maximization problems. Mathematical methods are proposed for solving maximization problems.