Stress-Constrained Design of Functionally Graded Lattice Structures With Spline-Based Dimensionality Reduction
Stress-Constrained Design of Functionally Graded Lattice Structures With Spline-Based Dimensionality Reduction
复制标题
基于样条降维的功能梯度晶格结构的应力约束设计
DOI：
10.1115/detc2019-97905
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发表时间：
2019
影响因子：
3.3
通讯作者：
C. Seepersad
中科院分区：
文献类型：
--
作者：
Jenmy Zimi Zhang;Conner Sharpe;C. Seepersad
本文提出了一种计算简便的网架结构刚度和强度设计方法。通过均化模拟数据的最坏情况应力分析来确定细观结构中的屈服。这提供了一种物理上有意义的、可推广的、保守的方法来估计由任意单胞结构组成的三维功能梯度晶格结构的结构失效。通过建立单元单元刚度和强度作为密度函数的代理模型，保证了设计框架的计算效率。然后将代理模型用于粗尺度的分析和综合。所提出的方法进一步使用了B-Spline对材料分布的紧凑表示，这减小了设计参数空间的大小，同时确保了制造所需的平滑密度变化。所提出的方法符合最小化研究，使用两种具有不同力学性质的单胞。研究了B-Spline网格加密和应力约束的存在对优化结果的影响。
This paper presents a computationally tractable approach for designing lattice structures for stiffness and strength. Yielding in the mesostructure is determined by a worst-case stress analysis of the homogenization simulation data. This provides a physically meaningful, generalizable, and conservative way to estimate structural failure in three-dimensional functionally graded lattice structures composed of any unit cell architectures. Computational efficiency of the design framework is ensured by developing surrogate models for the unit cell stiffness and strength as a function of density. The surrogate models are then used in the coarse-scale analysis and synthesis. The proposed methodology further uses a compact representation of the material distribution via B-splines, which reduces the size of the design parameter space while ensuring a smooth density variation that is desirable for manufacturing. The proposed method is demonstrated in compliance with minimization studies using two types of unit cells with distinct mechanical properties. The effects of B-spline mesh refinement and the presence of a stress constraint on the optimization results are also investigated.
影响因子：
6.2
作者：
Mehta, Dushyant;Sridhar, Srinath;Theobalt, Christian
通讯作者：
Theobalt, Christian