Abstract
In a series of the studies where two-dimensional continua have been optimized topologically by using our own contrived method equipped with genetic algorithm. The method is that shape and topology (i.e. layout) optimization is attained in such a way that optimal layouts of finite element models are obtained by selecting using the layouts of the models as individuals, and by adopting removal and addition parameters, β and γ. of the elements as chromosomes. In the previous paper we discussed that certain relations are certified to exist between the mean values of β and γ. and generations. and then optimal layouts to deterministically obtain by using the relations. Here the similar method is applied to three-dimensonal finite models and its validity is demonstrated in numerical experiments.