增材制造晶格结构的微观结构可变性和机械行为的不确定性量化
Uncertainty quantification of microstructure variability and mechanical behaviour of additively manufactured lattice structures
摘要：
过程引起的缺陷是设计和制造增材制造（AM）产品行为之间差异的主要原因。特别是对于金属网格，印刷几何形状的变化不能忽略。因此，评估其力学行为的微观结构的变化的影响是至关重要的质量评估所产生的结构。通常，可以通过计算机断层扫描（CT）获得制造后的几何形状。然而，将所有工艺引起的缺陷纳入数值分析中通常在计算上要求很高。因此，通常该任务限于预定义的一组考虑的变化，例如支柱尺寸或支柱直径。在这项工作中，提出了一个基于CT的二进制随机场产生的周期金属晶格的统计等效的几何形状。所提出的随机场模型结合有限单元法（FCM），浸没边界法，允许有效地评估底层微观结构对AM产品的机械行为的可变性的影响。对两种不同尺寸的格子进行了数值分析，结果与实验数据吻合得很好。此外，它提供了一个独特的洞察过程中发生的几何变化和最终的机械行为的影响。
英文摘要：
Process-induced defects are the leading cause of discrepancies between as-designed and as-manufactured additive manufacturing (AM) product behavior. Especially for metal lattices, the variations in the printed geometry cannot be neglected. Therefore, the evaluation of the influence of microstructural variability on their mechanical behavior is crucial for the quality assessment of the produced structures. Commonly, the as-manufactured geometry can be obtained by computed tomography (CT). However, to incorporate all process-induced defects into the numerical analysis is often computationally demanding. Thus, commonly this task is limited to a predefined set of considered variations, such as strut size or strut diameter. In this work, a CT-based binary random field is proposed to generate statistically equivalent geometries of periodic metal lattices. The proposed random field model in combination with the Finite Cell Method (FCM), an immersed boundary method, allows to efficiently evaluate the influence of the underlying microstructure on the variability of the mechanical behavior of AM products. Numerical analysis of two lattices manufactured at different scales shows an excellent agreement with experimental data. Furthermore, it provides a unique insight into the effects of the process on the occurring geometrical variations and final mechanical behavior.
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