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Topology optimization of sandwich structures with solid-porous hybrid infill under geometric constraints
Computer Methods in Applied Mechanics and Engineering ( IF 7.2 ) Pub Date : 2021-05-05 , DOI: 10.1016/j.cma.2021.113856
Xiaokai Chen , Chao Li , Yingchun Bai

Topology optimization of sandwich structures is attracting more interests due to its potential to balance mechanical performances and lightweight level, especially with the increasing application of additive manufacturing. This paper presents a topology optimization method to generate sandwich structures with solid-porous hybrid infill, in which this design feature of hybrid infill will improve the structural performance such as stiffness-to-weight ratio and strength-to-weight ratio, compared to designs with pure porous infill. Two design variable fields are introduced to describe the fundamental topology, in which one used to determine corresponding shell and infill domain through two-step density filtering under the SIMP framework, while another for assigning each solid-type or porous-type material into the infill domain. A projection-based geometric constraint method is developed to restrict the maximum size of solid infill, leading to solid infill distributed at the expected regions for manufacturing concerns. Furthermore, compliance-minimization topology design problem under mass constraints of solid and porous materials is formulated and solved with MMA in combination with the derived sensitivities. Three numerical examples are systematically investigated to demonstrate the effectiveness of the proposed method.



中文翻译:

几何约束下具有固孔混合填充物的三明治结构的拓扑优化

拓扑优化夹层结构的应用吸引了更多的兴趣,因为它具有平衡机械性能和轻量化水平的潜力,尤其是随着增材制造应用的增加。本文提出了一种使用固孔混合填充物生成夹层结构的拓扑优化方法,与设计相比,混合填充物的这种设计特征将改善结构性能,例如刚度-重量比和强度-重量比带有纯净的多孔填充物。引入两个设计变量字段来描述基本拓扑,其中一个用于在SIMP框架下通过两步密度过滤来确定相应的壳和填充域,而另一个用于将每种固体或多孔类型的材料分配给填充领域。基于投影开发了几何约束方法以限制固体填充物的最大尺寸,从而导致固体填充物分布在制造方面的预期区域。此外,结合MMA的敏感性,制定并解决了固体和多孔材料在质量约束下的最小化顺应性拓扑设计问题。系统地研究了三个数值示例,以证明该方法的有效性。

更新日期:2021-05-06
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