Abstract
Topology optimization is one approach of structural optimization, where various and complex shape can be represented. Because of its degree of freedom, topology optimization has potential to yield superior designs compared with sizing and shape optimizations. However, grayscale elements are often yielded, especially, in density based topology optimization methods; they influence negatively on design problems where Dirichlet boundary conditions are imposed on design boundary. To achieve grayscale-free topology optimization, we proposed to use the level-set method and the zero-level boundary tracking mesh in previous studies. The zero-level boundary tracking mesh is a conformed mesh to the zero iso-contour of the level-set function and it is generated from the Eulerian mesh. In our previous studies, only the two-dimensional problem were targeted. In this study, we propose a new mesh generation method for the three-dimensional zero-level boundary tracking mesh and construct a grayscale-free topology optimization method for three-dimensional problem.
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