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Full-scale 3D structural topology optimization using adaptive mesh refinement based on the level-set method
Finite Elements in Analysis and Design ( IF 3.1 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.finel.2021.103561
Hao Li , Takayuki Yamada , Pierre Jolivet , Kozo Furuta , Tsuguo Kondoh , Kazuhiro Izui , Shinji Nishiwaki

We propose a parallel distributed and open-source framework for full-scale 3D structural topology optimization (TO). This can be achieved by properly combining parallel computing and mesh adaption techniques by adopting a reaction–diffusion equation (RDE) based level-set method. Mesh adaptivity which discretizes and optimizes an implicitly defined surface (level-set interface) can allow us to reach an optimal solution with high-resolution and clear boundaries. Our framework can be easily extended to design real world engineering products which have complex geometries, and optimized structures represented by body-fitted tetrahedral meshes can be efficiently post-processed. Furthermore, the proposed optimization algorithm can mitigate dependency to initial guess and mesh resolution to some extent. Our numerical implementation uses FreeFEM for finite element analysis (FEA), PETSc for distributed linear algebra, and Mmg for mesh adaption. Several numerical examples and 3D printed prototypes support these remarkable features.



中文翻译:

基于水平集方法的自适应网格细化的全方位3D结构拓扑优化

我们为全面的3D结构拓扑优化(TO)提出了一个并行的分布式开源框架。这可以通过采用基于反应扩散方程(RDE)的水平集方法将并行计算和网格自适应技术适当组合来实现。网格的适应性可以离散化和优化隐式定义的曲面(水平集界面),可以使我们获得具有高分辨率和清晰边界的最佳解决方案。我们的框架可以轻松扩展到设计具有复杂几何形状的现实世界的工程产品,并且可以高效地对以贴身四面体网格为代表的优化结构进行后处理。此外,所提出的优化算法可以在某种程度上减轻对初始猜测和网格分辨率的依赖性。我们的数值实现将FreeFEM用于有限元分析(FEA),将PETSc用于分布式线性代数,将Mmg用于网格自适应。一些数字示例和3D打印原型支持这些非凡的功能。

更新日期:2021-04-01
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