Estrada-Díaz Jorge A, Elías-Zúñiga Alex, Martínez-Romero Oscar, Rodríguez-Salinas J, Olvera-Trejo Daniel
School of Engineering and Science, Tecnológico de Monterrey, Av. E. Garza Sada 2501 Sur, Monterrey 64849, Mexico.
Materials (Basel). 2021 Jan 21;14(3):512. doi: 10.3390/ma14030512.
In this work, dimensional analysis is used to develop a general mathematical model to predict bulk density of SLMed components taking volumetric energy density, scanning speed, powder's thermal conductivity, specific heat capacity, and average grain diameter as independent variables. Strong relation between dependent and independent dimensionless products is observed. Inconel 718 samples were additively manufactured and a particular expression, in the form of a power-law polynomial, for its bulk density, in the working domain of the independent dimensionless product, was obtained. It is found that with longer laser exposure time, and lower scanning speed, better densification is attained. Likewise, volumetric energy density has a positive influence on bulk density. The negative effect of laser power in bulk density is attributed to improper process conditions leading to powder particle sublimation and ejection. A maximum error percentage between experimental and predicted bulk density of 3.7119% is achieved, which corroborates the accuracy of our proposed model. A general expression for determining the scanning speed, with respect to laser power, needed to achieve highly dense components, was derived. The model's applicability was further validated considering SLMed samples produced by AlSi10Mg and Ti6Al4V alloys. This article elucidates how to tune relevant manufacturing parameters to produce highly dense SLM parts using mathematical expressions derived from Buckingham's π- theorem.
在这项工作中,采用量纲分析来建立一个通用数学模型,以预测选择性激光熔化(SLM)部件的 bulk 密度,该模型将体积能量密度、扫描速度、粉末的热导率、比热容和平均晶粒直径作为自变量。观察到因变量与自变量的无量纲乘积之间存在强相关性。对 Inconel 718 样品进行了增材制造,并在自变量无量纲乘积的工作范围内,得到了其 bulk 密度的幂律多项式形式的特定表达式。研究发现,激光曝光时间越长、扫描速度越低,致密化效果越好。同样,体积能量密度对 bulk 密度有积极影响。激光功率对 bulk 密度的负面影响归因于工艺条件不当导致粉末颗粒升华和喷射。实验 bulk 密度与预测 bulk 密度之间的最大误差百分比为 3.7119%,这证实了我们所提出模型的准确性。推导了关于激光功率确定实现高密度部件所需扫描速度的通用表达式。考虑到由 AlSi10Mg 和 Ti6Al4V 合金制成的 SLM 样品,进一步验证了该模型的适用性。本文阐明了如何使用从白金汉π定理导出的数学表达式来调整相关制造参数,以生产高密度的 SLM 零件。