基于光滑有限元法的拓扑优化

By combining the SFEM with nodal density based design method, this paper studies the relevant topology optimization problem of continuum structures. Compared with conventional finite element method, for the particular problem, the SFEM achieves more accurate results and is more flexible in the domain discretization. In this paper, the density filed discretization is independent of the displacement field discretization. NS-FEM is used in the displacement field calculation, and the material layout is described by the density field which is constructed by interpolating the nodal density variables. The MMA algorithm is used in the optimization to update the design variables. Numerical examples demonstrate the validity and effectiveness of the proposed formulation.