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Research Article  |  Open Access  |  27 Mar 2023

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

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J Mater Inf 2023;3:6.
10.20517/jmi.2023.03 |  © The Author(s) 2023.
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Abstract

Al-Si-Mg series alloys are the most common alloys available for additive manufacturing forming with low cracking tendency. However, there is no systematic study on the computational design of SLMed Al-Si-(Mg) alloys due to the huge parameter space of composition and processes. In this paper, a high-quality dataset of SLMed Al-Si-(Mg) alloys containing 176 pieces of data from 50 publications was first established, which recorded the information, including alloy compositions, process parameters, test conditions, and mechanical properties. A threshold value of 35 J/mm3 for energy density (Ed) was then proposed as a criterion to clean the data points with lower ultimate tensile strength (UTS) and elongation (EL). The cleaned dataset consists of a first training/testing dataset with 142 data for model construction and a second testing dataset with 9 data for model verification. After that, four machine learning models were applied to establish the quantitative relation of “composition-processes-properties” in SLMed Al-Si-(Mg) alloys. The MLPReg model was chosen as the optimal one considering its best performance and subsequently utilized to design novel compositions and process parameters for SLMed Al-Si-(Mg) alloys. The UTS and EL of the designed alloy with a maximum comprehensive mechanical property are 549 MPa and 16%, both of which are higher than all the available experimental data. It is anticipated that the present design strategy based on the machine learning method should generally be applicable to other SLMed alloy systems.

Keywords

Selective laser melting, Al-Si-Mg alloy, machine learning, alloy design, mechanical properties

INTRODUCTION

Due to their low density, high specific strength, high specific stiffness, and good plasticity, aluminum alloys are the preferred lightweight structure materials in aerospace, automotive, ships, and other fields[1]. The rapid development of marine, aerospace, and automotive transportation has put forward strict requirements for the performance of alloys. Selective laser melting (SLM) forming technology, as a promising additive manufacturing (AM) technology[2], has the advantages of a fast cooling rate and grain refinement. It can improve the mechanical properties of alloys and prepare parts with complex shapes, which greatly broadens the application range of aluminum alloys. Among different types of aluminum alloys, the Al-Si-(Mg) (i.e., Al-Si and Al-Si-Mg) series alloys are one of the few aluminum alloy systems suitable for the additive manufacturing process, including Al4Si[3,4], Al12Si[5-7], AlSi10Mg[8-10], and AlSi7Mg[11,12], etc. In particular, alloys with near-eutectic compositions over a very narrow solidification temperature range of 40K~50K can greatly reduce the risk of cracking during the laser additive manufacturing process and enable the preparation of nearly fully dense products, thus receiving extensive research attention.

The mechanical properties of SLMed Al-Si-(Mg) alloys are closely related to their composition and complex processing parameters. For instance, 0.2~0.4 wt.% Mg content may enhance the strength of alloys through precipitation hardening due to the precipitation of the fine Mg2Si phase during the aging heat treatment or the AM process[9,11,13]. Furthermore, the specific process parameters of the SLM process significantly affect the alloy properties, including laser power[14-16], scanning speed[16,17], powder layer thickness[15], scanning spacing[18,19], build direction[20-22], scanning strategy[23,24], and post heat-treatment processes[13,11,20]. Though a number of experimental investigations have been devoted to different SLMed Al-Si-(Mg) alloys in the literature, the factors that affect the properties and performance of alloys are too many, and thus there is still no systematic study on the relation among the “composition-process-properties” of the SLMed Al-Si-(Mg) alloys. Thus, there is an urgent need to solve this problem because it may block the efficient design of high-performance SLMed Al-Si-(Mg) alloys over high-dimensional parameter space.

To solve this problem, a variety of computational methods at different scales, including CALculation of PHAse Diagram (CALPHAD)[25-30], phase-field modeling[31-33], finite element simulation[34], and machine learning (ML)[28,29,35,36] can be utilized. Among them, ML is one of the most efficient computational methods. It can be utilized to establish the quantitative relation of “composition-processes-properties”, and even accelerate the design of high-performance alloys over a high dimensional parameter space. Mondal et al.[37] employed a physical information-based machine learning method to systematically investigate the cracking mechanism of SLMed 6061Al, 2024Al, and AlSi10Mg alloys. The decision trees, support vector machines, and logistic regression techniques were used to predict crack formation conditions, and the cracking susceptibility maps were established for optimizing the process parameters. Yu et al.[38] used AdaBoost, gradient tree boosting, K-nearest neighbors, decision tree, and Extra Trees regressors to successfully predict the hardness and relative mass density of LPBFed CNTs/AlSi10Mg nanocomposites with cellular structure features as input. The relative errors of the predicted hardness and relative mass density due to the optimal model are as low as 3.61% and 1.42%, respectively. He et al.[39] applied a gaussian process regression-based machine learning approach to establish a processing window for a high-density additive manufactured 2-vol% TiCN reinforced AlSi10Mg composite. Though the ML approach has been widely used to design process parameters for SLMed Al alloys, there is still a lack of reports on the establishment of a high-quality “composition-process-properties” dataset of the basic SLMed Al-Si-(Mg) alloys using the ML approach. Such a situation urgently needs to be improved.

Consequently, based on the ML approach together with an exhausting collection of literature data, an accurate “composition-process-properties” dataset for the basic but technically important SLMed Al-Si-(Mg) alloys is to be developed, and then applied to design the SLMed Al-Si-(Mg) alloys with better mechanical properties than the literature reports. In the next section, a brief introduction to the ML approach is given, followed by the data collection and pre-processing of the dataset, including the data cleaning and feature analysis. After that, four ML models are employed to establish the quantitative relation of “composition-processes-properties” in the SLMed Al-Si-(Mg) alloys, and the optimal one for best reproducing the training and testing sets is to be selected. The selected ML model is subsequently applied to discover the novel compositions and processing parameters of as-built Al-Si-(Mg) alloys with better mechanical properties than the literature reports. Finally, a conclusion of this paper is drawn.

MACHINE LEARNING APPROACH

The machine learning approach can establish an intrinsic relation between the input and output layers by systematically analyzing each characteristic variable in the data, thus realizing the prediction of new data. The basic ML workflow in alloy design mainly includes data collection, data cleaning, feature analysis, model selection, model training, model verification, and prediction analysis. In this paper, four machine learning models were built and comprehensively compared with each other to select the one with the highest accuracy, including linear regression (LinearReg), multi-layer perceptron regression (MLPReg), random forest regression (RFReg), and k-nearest neighbors (K-NN) regression.

LinearReg is widely utilized to construct a linear relationship between the target values and the characteristic variables by adjusting the regression coefficients. MLPReg is an artificial neural network that has a single input layer, one or more hidden layers, and a single output layer of perceptron, which is constituted by numerous neurons. The quantified relation between target values and variables is obtained by different weights and deviations in each neuron. The RFReg model consists of multiple mutually unrelated decision trees, each of which yields a prediction result from randomly selected samples and features, and the prediction result is obtained by combining the results of all trees and taking the average. The model has the function of calculating the importance of features. When the K-NN regressor is used for prediction, the mean value of the nearest data point is chosen as the prediction value.

In order to avoid the order of magnitude difference between each dimension of the dataset, resulting in inaccurate prediction results, all the variables need to be standardized before constructing the model. The data then obey a normal distribution with a mean of 0 and a variance of 1 (i.e., standard normal distribution). The equation of standardization treatment is given as

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

where Z is the return value, μ is the mean of the training samples, and σ is the standard deviation of the training samples.

Two metrics methods were utilized to evaluate the quality of machine learning models, i.e., the mean absolute error (MAE) and the coefficient of determination (R2). The MAE measures the relative magnitude of deviation, while the R2 can be used to characterize the fitness level of the model. They are respectively defined as

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

In Equations (2) and (3), Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design is the prediction value of the ith data, yi is the actual value corresponding to it, while n is the size of the dataset.

DATA COLLECTION AND PRE-PROCESSING

Data collection

The mechanical properties [including ultimate tensile strength (UTS), yield strength (YS), and elongation (EL)] of the SLMed alloys do not only depend on the compositions[40-47] and processes[48-54] but also the testing condition[55-59]. Therefore, in order to study the influencing factors affecting the mechanical properties of SLMed Al-Si-(Mg) alloy, the compositions[60-62] (i.e., Si and Mg contents), the manufacturing processes (including laser power[63-65], scanning speed[66,67], scanning spacing[68-70], powder layer thickness[71,72], hatching space[73], and rotation angle[74]), and the testing direction[75,76] should be considered at the same time. However, it is quite challenging to analyze data in high-dimensional characteristic variable space, and the dimension of the characteristic variable thus needs to be reduced. The energy density (Ed)[77-79] is commonly used to describe the combined effect of laser power, scanning speed, scanning spacing, powder layer thickness, and hatching space on alloy properties. Ed can be calculated by using the following equation,

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

where P is laser powder, v is scan speed, h is hatch space, and t is layer thickness. Besides, the testing direction and the rotation angle should also be considered during data analysis. The testing direction describes the test situation. The tensile direction is regarded as 0° when it is parallel to the substrate plane, while 90° when it is vertical to the substrate plane. Moreover, the rotation angle represents the successive layer rotation during the additive manufacturing process.

In order to make the dataset more reliable and accurate, the following guidelines were obeyed during the data collection:

(i) Only the data of Al-Si-(Mg) alloys manufactured by SLM techniques were collected;

(ii) The data reported in the literature must be complete, and all the information on the composition, process parameters, and mechanical properties should be included;

(iii) If no actual alloy composition was given in the literature, the nominal composition of the alloy was used instead.

The data sets of as-built SLMed Al-Si-(Mg) alloys, which include 176 pieces of data from 50 publications, were established in the present work and displayed in the Supplementary Materials. Figure 1A and B shows the distribution of UTS, YS, and EL for different SLMed Al-Si-(Mg) alloys, mainly including Al4Si[3,4], Al7SiMg[12,13,24,49-60], AlSi10Mg[9-11,61-79], and Al12Si[4,5,14,40-48]. It is clearly observed in the figure that the strength of the alloys tends to increase as the Si content increases while the elongation of the alloys decreases. The maximum UTS value is 514MPa from the AlSi10Mg (wt.%) alloy[77], while the maximum EL value is 22% from the Al4Si (wt.%) alloy[4]. However, there is a region with both poor strength and elongation, which is the lower left corner in Figure 1A. The detailed statistical results of all data are shown in Supplementary Table 1. It shows the statistical results of the composition of each element, Ed, rotation angle, tensile direction, UTS, YS, and EL among the 176 data. The range of Ed is from 13.33 J/mm3 to 176.19 J/mm3. The rotation angle mainly includes 45°, 67°, 73°, and 90°.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 1. Distribution of UTS~EL and YS~EL data in different SLMed Al-Si-(Mg) alloys including Al4Si, Al7Si, Al10Si, Al12Si, A356, A357, and AlSi10Mg: (A) and (B) raw data; (C) and (D) data with cleaning. EL: elongation; UTS: ultimate tensile strength; YS: yield strength.

Data cleaning

In order to precisely design alloys with excellent performance, the data with relatively high mechanical properties need to be retained as much as possible while avoiding the impact of low-performance data. Before constructing the model, a data cleaning by abandoning the data with lower mechanical properties is thus needed. The cleaned datasets are detailly shown in Figure 1C and D and Supplementary Table 2 and are to be used for constructing and validating the ML model. As shown in Figure 1C and D, the data for Al12Si and AlSi10Mg alloys with both poor strength and ductility were cleaned according to their lower Ed (≤ 35 J/mm3). Finally, the cleaned dataset includes a first training/testing dataset with 142 data for model construction and a second testing dataset with 9 data for model verification.

To investigate the key factors affecting the mechanical properties of the SLMed Al-Si-(Mg) alloys, three main characteristic variables (i.e., Ed, layer rotation, and test direction) and their effect on the properties in three representative Al-Si-(Mg) alloys (i.e., Al12Si, AlSi10Mg, and Al7SiMg) were systematically analyzed. As shown in Figure 2A and B, the Ed is one of the most critical parameters in the fabrication process and also plays a key role in mechanical properties. The results indicate that the alloy with lower Si content requires higher Ed, which may be caused by the lower energy absorption of Al. Interestingly, there are also some very limited cases for the AlSi10Mg alloy with higher UTS and EL fabricated by high Ed (≥ 130 J/mm3), which needs further consideration and verification. For the Al12Si and AlSi10Mg alloys, most of them tend to behave with low tensile strength and weak ductility when the Ed is low (≤ 30~40 J/mm3). Therefore, in order to design high-performance alloys, some data points with Ed lower than 35 J/mm3, especially for Al12Si alloy in the lower left region, should be deleted during the data cleaning.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 2. Effect of different characteristic variables (i.e., Ed, layer rotation, and test direction) on the mechanical properties of different SLMed Al-Si-(Mg) alloys: (A), (D), and (G) Al12Si alloys; (B), (E), and (H) AlSi10Mg alloys; (C), (F), (I) Al7SiMg alloys. Ed: energy density; EL: elongation; UTS: ultimate tensile strength.

Figure 2D-F and Figure 2G-I show the effect of rotation angle and testing direction on the properties. The results demonstrate that the UTS and EL of the alloys are much lower when both the rotation angle and the testing direction are 90°. Moreover, all the high-performance data points occur with a combination of layer rotation of 67° and test direction of 0°. This fact may be associated with the grain size and combination of neighboring powder layers during the additive manufacturing process[23]. With an optimal layer rotation, the fully densified parts with refined grain size can be fabricated. Meanwhile, directional solidification in SLM leads to preferential grain growth along the <100> direction, and the resulting intense texture is the main reason for the anisotropy of the alloy[80]. Thijs et al.[80] found a strong <100> texture along the scanning direction (i.e., parallel to the substrate plane) in SLMed AlSi10Mg alloy. It led to higher UTS and EL in alloys along the 0° test direction. However, an interesting observation was also found in some literature reports[12,49,53,54,56,66,68-70,72,74,75], as shown in Supplementary Figure 1. Under the same preparation conditions, the alloys with a test direction of 90° can also exhibit higher UTS. Kimura et al.[49] found the presence of coarsened microstructure encompassing the borders of laser scan tracks, which led to a lower UTS for horizontal alloys. Meanwhile, Kumar et al.[81] discovered that the distribution of molten particles along the vertical direction has a strong inter-particle bond, which plays a role in enhancing the strength of the alloy, but also increases the brittle behavior. As a result, they show a higher UTS but with a lower EL compared with the other alloys. Hence, in the Al-Si-(Mg) alloys, the influence of different features on the alloy properties is complex, and it is difficult to obtain the ideal target alloy by simple data analysis or limited experiments.

Some data points with good performance in three alloy systems were selected and analyzed, as marked by the purple circles in Figure 2. In general, from the current dataset, the promising Ed for Al-Si-(Mg) alloy is roughly distributed between 45 J/mm3 and 55 J/mm3. As the Si content increases, the suitable Ed value decreases. It seems that the combination of 67° layer rotation and 0° test direction provide great opportunities to obtain high-performance alloy. Based on the existing experimental dataset, the effect of more manufacturing parameters (laser power, scan speed, hatch space, and layer thickness) on the mechanical properties of SLMed Al-Si-(Mg) alloys were further investigated and analyzed, as shown in Supplementary Figure 2. The suitable layer thickness is 30 μm~40 μm, while the suitable hatch space is 100 μm~130 μm. With the Si content decreasing, the suitable laser power varies from 250 W to 370 W, while the suitable scan speed can vary from 1,800 mm/s to 1,300 mm/s.

Feature analysis

After the data cleaning, the correlations between the characteristic variables and the mechanical properties were analyzed. As shown in Figure 3, Pearson’s correlation coefficient for the characteristic and alloy properties was calculated. The results show that the correlation coefficient between any two variables is totally lower than 0.8, except for UTS and YS. The correlation coefficients between UTS and YS are as high as 0.92, with a strong linear relationship. Thus, the strength of the alloy can be described by using only UTS. Moreover, the correlation coefficients between the input variables (i.e., W(Si) and W(Mg), Ed, layer rotation, and test direction) and mechanical properties (i.e., UTS, YS, and EL) are very low. It means that there is no strong linear relationship between any two of them, and the alloy properties are not obtained by a simple linear summation of each variable’s contribution. Therefore, the machine learning model (either MLPReg model or RFReg model), which can describe the complex unknown relationship for multi-variables, should be used to construct the relation of “composition-process-properties” in SLMed Al-Si-(Mg) alloys.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 3. Pearson’s correlation coefficients between characteristic variables and alloy properties. EL: elongation; UTS: ultimate tensile strength; YS: yield strength.

RESULTS AND DISCUSSION

Model construction and selection

Based on the constructed data set, the next key is to establish a quantitative relationship among alloy compositions, manufacturing parameters, and mechanical properties by machine learning technique. Five feature variables (W(Si), W(Mg), Ed, layer rotation, and test direction) were used as the input layer to predict UTS, YS, and EL simultaneously.

In order to select the most suitable model, four machine learning models were used to establish the quantitative relationship, including LinearReg, MLPReg, RFReg, and K-NN regressor. The randomized search strategy combining 5-fold cross-validation was utilized to find the optimal hyperparameters, based on which the optimal combinations of model parameters were selected. All the data were randomly divided into training and test sets with a 9:1 ratio.

Figure 4 presents the MAE value and R2 score of the above four models based on the cleaned dataset. The lower MAE and the larger the R2 score, the better the predictive performance. As shown in Figure 5, the LinearReg presents the poorest performance with R2 less than 0.5 and MAE higher than 30. For the K-NN model with the lowest MAE value, it may be overfitting because the R2 deviation between the testing set and the training set is large while the R2 score of the training set is approaching 1. Both MLPReg and RFReg have good performance in training and testing sets; the R2 score of the training set for these two models are 0.8962, 0.8216, and 0.8985, 0.8452 for the testing set, respectively. To further investigate the accuracy and stability of the model, the size of the testing set changed from 10% to 40%, and the evolution of the R2 score was recorded in Supplementary Figure 3. The results also show that the testing set R2 score of K-NN dropped dramatically with the increased size due to the overfitting. Moreover, compared with the RFReg model, the MLPReg has a higher score overall. Therefore, the MLPReg model was selected as the optimal model to construct the quantitative relation of “composition-process-properties” in SLMed Al-Si-(Mg) alloy.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 4. (A) R2 score and (B) MAE value of different models on 90% training set and 10% testing set. MAE: mean absolute error.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 5. Performance of the MLPReg model predicted (A)UTS; (B)YS; and (C)EL on the training set and the testing set. EL: elongation; UTS: ultimate tensile strength; YS: yield strength.

Validation and prediction for the selected ML model

Based on the selected MLPReg model, the model hyperparameters were optimized by a random search strategy with a 10% testing dataset. The structure of the optimized MLPReg model was 5 × 100 × 200 × 3 (1 input layer with 5 features, 2 hidden layers with 100 and 200 neurons, and 1 output layer with 3 output features). The detailed optimization results are displayed in Supplementary Table 3. The comparison between the predicted and experimental properties of the trained MLPReg model is shown in Figure 5. When the predicted result is very close to the actual value, the data point should be in the vicinity of the line y = x. The results show that the predicted UTS, YS, and EL are in good agreement with the experimental results on both the training and testing set. The average R2 score of training and testing sets can reach 0.8962 and 0.8985.

Besides, different operators and experimental environments can affect the mechanical properties of the target alloy. In order to test the generality of the model and further verify the model accuracy, 3 representative alloys were selected from each of the three systems[5,48,58,59,78,79] (i.e., Al7SiMg, AlSi10Mg, Al12Si) from the cleaned dataset as the second test set. The composition and manufacturing parameters of those 9 alloys are shown in Supplementary Table 4. The comparison of predicted and experimental results of the second test set is also shown in Figure 5. The results showed that the selected ML model can predict the UTS, YS, and EL of all the alloys simultaneously, especially reproducing the mechanical properties of the 9 alloys in the second test dataset well. Therefore, it indicates that the presently selected ML model can simultaneously predict the UTS, YS, and EL of all the SLMed Al-Si-(Mg) alloy with high accuracy and will be utilized to design the alloy with high performance further.

Based on the trained and validated MLPReg model, the mechanical properties of alloys over a wide range of composition and process parameters can be predicted. A method for randomly generating composition and processes over the parameter space was used to create the big input dataset in this work. The range of Si is between 4.1wt.% and 12.1wt.% with Δw(Si) = 1wt.%, and that of Mg varies from 0wt.% to 0.6wt.% with Δw(Mg) = 0.1wt.%. The value of Ed varies from 26 J/mm3 to 171 J/mm3 with a step of 5 J/mm3. Supplementary Table 2 shows that over 95% of the high-performance alloys were prepared using 67°, 73°, or 90° as the layer rotation angle. To achieve the best performance and increase the computational efficiency, three values (i.e., 67°, 73°, and 90°) were selected as candidates to make predictions. Figure 6 shows the predicted results based on the trained MLPReg model for random 11,300 data (combinations of compositions and processes) in SLMed Al-Si-(Mg) alloy. The plot has been colored with Quality Index (QI). The strength-ductility trade-off relationship indicates that monolithic materials have a limitation in achieving simultaneously high strength and elongation. In Figure 6, the alloys with high performance (i.e., high QI) usually presented a high strength with medium elongation.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 6. Results from MLPReg model prediction displayed as a parallel coordinate plot for 11300 combinations of compositions and process of Al-Si-(Mg) alloy. The plot is colored with Quality Index (QI). EL: elongation; UTS: ultimate tensile strength; YS: yield strength.

To further validate the accuracy of the model, the predicted data with 7 wt.%, 10 wt.%, and 12 wt.% Si were extracted respectively and compared with the experimental results, as shown in Figure 7. The results indicated that all the experimental data locates in the region of the predicted results, inferring that the model can not only describe the properties of the existing experimental data very well but also predict the mechanical properties of the alloys over the unknown region(s).

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 7. Distribution of predicted and experimental data (i.e., UTS, YS, and EL) in alloys with different Si contents: (A) and (D)12 wt.%; (B) and (E) 10 wt.%; (C) and (F) 7 wt.%. EL: elongation; UTS: ultimate tensile strength; YS: yield strength.

Alloy design with desired mechanical properties

Based on the accurate prediction results over wide composition and process parameter space, one can design the SLMed Al-Si-(Mg) alloy with desired machinal properties. However, how to design an alloy with simultaneously high strength and ductility needs to be considered. The multi-objective to single-objective optimization strategy, which converts a weighted linear combination of multi-objective performance into a single objective for optimizing the design for a single objective quantity (Ashby’s method[82]), is one of the commonly used multi-objective optimization strategies and thus utilized in this work. The QI, which represents the evaluation criterion for alloy properties considering both strength and ductility, was employed in this work to design the alloy with optimal comprehensive mechanical properties. QI can be calculated by the following formula,

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

While the machine learning model, which can accurately predict the mechanical properties of the SLMed Al-Si-(Mg) alloys, has been established in this work, the QI can be used to find novel SLMed Al-Si-(Mg) alloys with higher comprehensive mechanical properties than all the experimental data reported in the literature based on the trained MLPReg model.

In order to make the recommended alloys as reasonable as possible, the contents of alloying elements and manufacturing parameter values of all the recommended alloys should not exceed the range of the training data set. According to the above discussion, the Ed of 35 J/mm3 is the threshold value for good mechanical properties. The analysis of the dataset in Supplementary Table 2 shows that 75% of the data points have an Ed below 62 J/mm3, with only a few special points larger than 100 J/mm3. Therefore, the alloys with Ed lower than 35 J/mm3 (threshold value) and higher than 100 J/mm3 (extreme value) were excluded here.

After predictions with random combinations of compositions and processes, the selected alloys with maximum UTS, maximum YS, maximum EL, or maximum QI are listed in Table 1. It can be clearly seen from the predicted results that the alloy with higher Si content owns higher strength. On the contrary, the highest elongation is achieved when the Si content is only 4%. The high-performance alloy with maximum QI can be obtained when the Si content is 10%. Such phenomena are consistent with the previously known experimental results[11,57,83], which further reinforces the reliability of the dataset and the accuracy of the model. This fact also indicates that the model not only deepens our understanding of the SLMed Al-Si-(Mg) system but also helps us to design new alloys.

Table 1

Presently designed alloys with respective maximum UTS, maximum YS, maximum EL, and maximum QI under as-build conditions

GroupW(Si) (wt%)W(Mg) (wt%)Ed (J/mm3)Rotation (°)Direction (°)UTS (MPa)YS (MPa)EL (%)QI (MPa)
112.10.6366790559.0344.86.2831.5
212.10.636730548.9362.87.4863.7
34.1096900307.4162.924.5533.8
410.10.166900549.4346.116.1966.8

The comparison between the design results and the original experimental dataset is shown in Figure 8. In the cleaned experimental datasets, the maximum value of UTS is 514 MPa. While in the predicted dataset based on the trained MLPReg model, the UTS of alloys can reach 560 MPa with the EL higher than 6%. The test direction for this alloy is 90°, which is consistent with some literature[12,68,70] and the data analysis above. This also indicates that the predicted results are reasonable. Moreover, for the designed alloy with a maximum QI of 966 MPa, its UTS is 549 MPa, and EL is 16%, both of which are higher than all the available experimental data. Although the designed results generally conform to the current experimental rules, their accuracy still needs further experimental validation as the major target for the next publication.

Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design

Figure 8. Presently designed alloys with respective maximum UTS, YS, EL, and QI, compared with as-built experiment data in different plots: (A) UTS~EL; (B)YS~EL. EL: elongation; QI: Quality Index; UTS: ultimate tensile strength; YS: yield strength.

CONCLUSIONS

● Based on an exhausting collection from 50 publications, a high-quality dataset for SLMed Al-Si-(Mg) alloys (including Al12Si, Al10Si, AlSi10Mg, Al7Si, Al7SiMg, and Al4Si) with 176 pieces of data was established. The dataset records the information on alloy composition, process parameters, test conditions, and mechanical properties in detail. The effect of three main variables (i.e., Ed, layer rotation, and test direction) on the mechanical properties was systematically analyzed in the three representative alloys (Al12Si, AlSi10Mg, and Al7SiMg). A threshold value of 35 J/mm3 for Ed was used as a criterion to clean the data points with lower UTS and EL. The cleaned dataset consists of a first training/testing dataset with 142 data for model construction and a second testing dataset with 9 data for model verification.

● Four ML models were employed to establish the quantitative relation of “composition-processes-properties” in SLMed Al-Si-(Mg) alloys. After a comprehensive comparison, the MLPReg model was selected due to its best performance on both training and testing sets. The selected MLPReg model was then utilized to design novel compositions and process parameters for SLMed Al-Si-(Mg) alloys with maximum UTS, YS, EL, and comprehensive mechanical property index QI. For the alloy with maximum QI, its UTS can reach 549.4MPa, which is ~40MPa higher than the best one over the available experimental data, while its elongation can still retain 16%.

● The successful demonstration in this paper indicates that the present design strategy driven by the ML technique should generally be applicable to other SLMed alloy systems.

DECLARATIONS

Authors’ contributions

Establishment, selection, and verification of machine learning model: Gao T

Made contributions to the conception and design of the study: Gao T, Gao J, Zhang L

Literatures data collation, interpretation, analysis, cleaning, and construction of data set, drafted the manuscript: Gao T, Gao J, Zhang J

Supervised, revised, and finalized the manuscript: Gao T, Gao J, Zhang J, Song B, Zhang L

Availability of data and materials

The using data set and the trained machine learning model can be seen in Supplementary Materials.

Financial support and sponsorship

The financial support from the Science and Technology Program of Guangxi province, China (Grant No. AB21220028), the Natural Science Foundation of Hunan Province for Distinguished Young Scholars (Grant No. 2021JJ10062), and the Lvyangjinfeng Talent program of Yangzhou is acknowledged.

Conflicts of interest

All authors declared that there are no conflicts of interest.

Ethical approval and consent to participate

Not applicable.

Consent for publication

Not applicable.

Copyright

© The Author(s) 2023.

Supplementary Materials

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Gao T, Gao J, Zhang J, Song B, Zhang L. Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design. J Mater Inf 2023;3:6. http://dx.doi.org/10.20517/jmi.2023.03

AMA Style

Gao T, Gao J, Zhang J, Song B, Zhang L. Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design. Journal of Materials Informatics. 2023; 3(1): 6. http://dx.doi.org/10.20517/jmi.2023.03

Chicago/Turabian Style

Gao, Tianchuang, Jianbao Gao, Jinliang Zhang, Bo Song, Lijun Zhang. 2023. "Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design" Journal of Materials Informatics. 3, no.1: 6. http://dx.doi.org/10.20517/jmi.2023.03

ACS Style

Gao, T.; Gao J.; Zhang J.; Song B.; Zhang L. Development of an accurate “composition-process-properties” dataset for SLMed Al-Si-(Mg) alloys and its application in alloy design. J. Mater. Inf. 2023, 3, 6. http://dx.doi.org/10.20517/jmi.2023.03

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