206 Optimization Problem of Two Dimensional Distribution of Material Composition in Functionally Graded Hollow Sphere Using GA

Abstract

This study is intended as an optimization of material compositional profile in functionally graded hollow sphere which has two-dimensional nonhomogeneous material properties in the radial and meridian directions and is subjected to an axisymmetric heat supply. Numerical solutions of temperature change and axisymmetric thermal stress under the steady state are obtained for the functionally graded hollow sphere which has two-dimensional nonhomogeneous material properties by making use of finite element method. The optimal two-dimensional material compositional profile is found for the functionally graded hollow sphere so as to minimize the ratio of thermal stress under the steady state to strength of material by using genetic algorithm.