增材制造中应力约束的结构多尺度拓扑optimization
Structural multiscale topology optimization with stress constraint for additive manufacturing
摘要：
本文分析了一种用于3D打印过程的结构拓扑优化的相场方法，该方法包括应力约束和潜在的多材料或多尺度。一阶必要的最优性条件严格推导和数值算法，实现的方法。对二维悬臂梁问题进行了参数敏感性研究。最后，描述了从数值解获得3D打印物体的可能工作流程，并使用熔融沉积建模（FDM）3D打印机打印最终结构。
英文摘要：
In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions are rigorously derived and a numerical algorithm which implements the method is presented. A sensitivity study with respect to some parameters is conducted for a two-dimensional cantilever beam problem. Finally, a possible workflow to obtain a 3D-printed object from the numerical solutions is described and the final structure is printed using a fused deposition modeling (FDM) 3D printer.
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