抄録
This paper presents a topology optimization method in which a structural layout is represented by the VOF function. The topological change results from the convection of the VOF function. The velocity field which leads the topology to an optimal design is derived by means of the sensitivity analysis. The proposed method is developed within the framework of the finite element analysis using triangular or tetrahedral elements. To prevent the numerical diffusion the CIVA method is employed in cooperation with the tangent transformation method. Applications to two- and three-dimensional minimum compliance problems are demonstrated. Through these numerical examples, the validity of the developed method is evidenced.
