Experimental Investigation of Topology-Optimized Beams With Isotropic and Anisotropic Base Material Assumptions

Hajin J. Kim, J. Carstensen
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Abstract

Additive Manufacturing (AM) technologies are promising fabrication methods with the potential to increase customizability and structural complexity. It is well established that the nature of AM typically results in base materials that exhibit an extent of anisotropy. Since topology optimization is a freeform approach that generally achieves high performing designs, it is often suggested as a powerful design-for-AM method. However, most topology optimization frameworks ignore anisotropic effects and assume isotropy of the base material. Although frameworks that consider anisotropy have been suggested, the influence anisotropy has on the physical behavior of fabricated designs is not well understood. Therefore, this work presents an experimental study of topology-optimized structures designed with both isotropic and anisotropic linear elastic material assumptions to explore how much anisotropic considerations matter when it comes to the discrepancy in numerical and experimental performance. The experimental investigation is conducted using a Fused Filament Fabrication print process that allows us to prescribe the anisotropy. The Young’s Modulus of the designated print setup is experimentally determined and used for design of 3D simply supported beams with various material volumes. Samples are fabricated and evaluated using 3-point bending tests. It is seen that the isotropic designs have a slightly better average performance at the design load (1.8–2.0%), but that inclusion of the anisotropic behavior significantly limits behavioral differences across samples (84.4–171.5% decrease in standard deviation) and improves the print success rate.
各向同性和各向异性基材假设下拓扑优化梁的实验研究
增材制造(AM)技术是一种很有前途的制造方法,具有提高可定制性和结构复杂性的潜力。众所周知,AM的特性通常会导致基材表现出一定程度的各向异性。由于拓扑优化是一种自由形式的方法,通常可以实现高性能的设计,因此它经常被认为是一种强大的面向am的设计方法。然而,大多数拓扑优化框架忽略了各向异性效应,并假设基材具有各向同性。虽然已经提出了考虑各向异性的框架,但各向异性对制造设计的物理行为的影响尚未得到很好的理解。因此,本研究对采用各向同性和各向异性线弹性材料假设设计的拓扑优化结构进行了实验研究,以探讨各向异性因素对数值和实验性能差异的影响程度。实验研究采用熔丝制造印刷工艺进行,使我们能够规定各向异性。指定打印装置的杨氏模量通过实验确定,并用于设计具有不同材料体积的3D简支梁。样品制作和评估使用三点弯曲试验。结果表明,各向异性设计在设计载荷下的平均性能略好(1.8-2.0%),但各向异性行为显著限制了样品间的行为差异(标准差降低84.4-171.5%),提高了打印成功率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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