Multiscale structural optimization towards three-dimensional printable structures
Multiscale structural optimization towards three-dimensional printable structures
复制标题
针对三维可打印结构的多尺度结构优化
DOI：
10.1007/s00158-019-02220-y
复制
发表时间：
2019
影响因子：
3.9
通讯作者：
Imediegwu C
中科院分区：
文献类型：
--
作者：
Imediegwu C
本文为具有宏观定制结构特征的三维网格的多尺度设计开发了一个稳健的框架。这项工作利用加法制造的高工艺灵活性和精确度，通过开发和实施多尺度方法来物理实现超材料的复杂微结构。由这种超材料衍生的结构显示出与组成基材不同的性质。提出了一种周期性的微尺度模型，该模型的几何参数可以平滑地改变性质，并且通过缓慢改变晶格参数的大尺度描述来保证大尺度域中相邻微结构的连通性。用有限元方法推导了基于晶格的材料函数级配，并用伴随方法求出了灵敏度。该工作的新颖性在于使用了多个基于几何的小规模设计参数来解决三维真实空间中的优化问题。通过求解一个经典的柔度最小化问题，验证了该方法的有效性。结果表明，与常用的结构优化算法相比，最优性得到了改善。
This paper develops a robust framework for the multiscale design of three-dimensional lattices with macroscopically tailored structural characteristics. The work exploits the high process flexibility and precision of additive manufacturing to the physical realization of complex microstructure of metamaterials by developing and implementing a multiscale approach. Structures derived from such metamaterials exhibit properties which differ from that of the constituent base material. A periodic microscale model is developed whose geometric parameterization enables smoothly changing properties and for which the connectivity of neighboring microstructures in the large-scale domain is guaranteed by slowly changing large-scale descriptions of the lattice parameters. A lattice-based functional grading of material is derived using the finite element method with sensitivities derived by the adjoint method. The novelty of the work lies in the use of multiple geometry-based small-scale design parameters for optimization problems in three-dimensional real space. The approach is demonstrated by solving a classical compliance minimization problem. The results show improved optimality compared to commonly implemented structural optimization algorithms.