Abstract
Typological structural optimization contributes to the optimum design of structures with the minimum weight maintaining a high stiffness. This paper presents a method for achieving topological optimization involving the optimum layout of plural materials for maximizing structural buckling strength. This method is formulated based on both the constraint condition concerning the layout of materials with different strength in the topological optimization and the stability theory of an elastic body with initial stresses. Then, an asteroid-type virtual element is developed based on a substructuring method for the purposes of maintaining a high level of accuracy in a relatively short CPU time. This method is applied to the two-dimensional model of a column, and the validity of this method is confirmed from both the geometrical shape and the material layout regarding the obtained optimization structures. Various optimization shapes and material layouts are illustrated on the column supporting the compressive load in the eccentric axial directions of those.
