Abstract
In this paper, an effective topology optimization method for 3D structures using X-FEM and cellular automata is proposed, The X-FEM uses interpolation functions based on the notion of partition of unity and can consider discontinuity of displacement fields near a crack and free surface independently of the finite element mesh. As numerical example, shape optimization analysis is performed to verify the validity of the proposed method. It was shown that the proposed method has a potential to perform shape optimization analysis effectively.
