Construction of a Multi-System of Structural Design of Configuration and Material Composition for Functionally Inhomogeneous Materials : Optimization Problem of Structural Element Making Use of Genetic Algorithm and Cellular Automata

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In this research project, the optimization problems of the material composition and the configuration of structural elements for functionally inhomogeneous materials are treated. As analytical models, a hollow sphere and a hollow circular cylinder subjected to an arbitrary nonuniform heat supply are considered. It is assumed that the inhomogeneous material properties such as the thermal conductivity, elastic constants and the coefficient of thermal expansion are varied arbitrarily in both the thickness (radial) and circumferential directions. Furthermore, the hollow sphere is treated as axisymmetric two-dimensional problem. On the other side, the hollow cylinder is treated as nonsymmetrical plane strain state. For these analytical models, the optimization problems of the material composition are considered as a first step. Supposing that these functionally inhomogeneous materials are used in the super-high temperature environment, both the thermal stress relaxation and the heat resista … More nce are taken into account as objective functions for the optimization problem. The development of the analytical solution for the temperature and the associated thermoelastic fields are almost impossible because the material properties are changed arbitrarily in the domain under consideration. So that, the analyses for the temperature and the thermoelastic fields are carried out making use of the Finite Element Method. Thereafter, the multi-objective optimizations for the material composition are treated with aid of the Genetic Algorithm.The Pareto-optimal solutions of the material composition for functionally inhomogeneous solids such as a hollow sphere and a hollow cylinder are obtained. Secondary, the optimization problems for the configuration of the structural element are taken into consideration. For such optimization problems, the reduction of the weight under the restriction of the maintenance of the strength is selected as an objective function. The analyses are also developed making use of Finite Element Method and the soft-computing systems such as Genetic Algorithm and Cellular Automata. The systems are now under constructing, so that, the numerical results could not be obtained yet, but it will be published in the near future. Less