| Title |
Finite Element Material-Based Topology Optimization for Structural Designs by using a Bilinear Interpolation and a 0.5 Iso-line Method |
| Authors |
Lee Dong-Kyu ; Shin Soo-Mi |
| Keywords |
Finite Element-based ; Topology Optimization ; Material Discontinuity ; Bilinear Interpolation ; 0.5 Iso-line Method |
| Abstract |
This study presents a finite element-based material topology optimization method in order to resolve material discontinuity problems such as jagged boundaries which occur in conventional topology optimization methods. The unclear and discontinuous structural layouts often lead to only a conceptional design for topology optimization. Substantially, refined discretization for a given design domain can relieve the jagged layouts, however the refinement serves a large number of computational costs. In this study, in order to overcome this dilemma, a bilinear interpolation method is used and then densities are re-distributed as grid point densities. The density is not constant but continuous within one element. In addition, the continuous density distribution is explicitly cut by a 0.5 density iso-line within a fixed regular Eulerian mesh and consequently this contour produces continuous material structural layouts between solid and void regions. Numerical examples for structural designs verify the efficiency and superiority of the bilinear interpolation and iso-line Eulerian methods for qualitatively improving classical material topology optimization methods. |