Mathematical Modeling and Compositional Optimization for Mechanical Properties of Aluminum LM 25/h-BN/B4C hybrid Composites using Mixture Design and Desirability based Analysis

Abstract

In this work Mixture design concept and desirability approach were implemented to model and optimization of mechanical properties like Hardness, Yield Stress, Ultimate Tensile Strength (UTS) and Percentage of Elongation (% of E) of Aluminum based  hybrid composites reinforced with  Hexagonal Boron Nitride (h-BN) and Boron Carbide (B₄C). As per mixture design plan, total ten different compositional composite samples were prepared by stir casting procedure. ANOVA analysis and desirability approaches were implemented to modeling and optimization of the composites. From the result it is clear that Multi objective optimization using desirability approach was successfully implemented for compositional optimization and the developed models were well fitted to the modified cubic models with desirability score of 0.915 with compositions of LM 25 of 95.190 %, h-BN of 2.247 % and B₄C of 2.563 %.