I am not sure if logic is the best descriptor of what Stanley does to Blanche. As far as the development of the plot and the intricacies of character development, it is an almost inevitable conclusion that Blanche would have fallen victim to Stanley. While she might have wanted to wage a battle for superiority against him, in the end, Blanche lacked the resources and the sensibilities to dominate over him. It was logical in this sense that she ends up being victimized by his brutish and savage presence. Stanley's need to dominate and to be considered the center of all is what drives him and it is this power that compels him to rape Blanche. In this, Williams makes it almost a foregone conclusion that he would seek to dominate her. There is little shown in his nature that would enable him to coexist with Blanche or live alongside her. Rather, he is shown to be a force that must appropriate the world in accordance to his own subjectivity. Accordingly, it is logical that he would exercise his will over her through physical force and control, a setting in which the rape becomes a logical representation of this.