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Product design model for Impact Toughness Estimation in Steel Plate Manufacturing Satu Tamminen ISG - Data Mining Group, Department of Electrical and Information Engineering, University of Oulu, Finland TOC Introduction Data Model Conclusions IJCNN 2008 Introduction Impact toughness (notch toughness) describes how well does the steel resist fracturing at predefined temperature, when hard impact suddenly hits the object. The property is crucial for steel products that are used in cold and harsh environments e.g. ships, derricks and bridges. The harder the steel the lower the impact toughness. IJCNN 2008 In a room temperature the steel can perform well in the impact toughness test, but when the temperature falls, the performance weakens. In this research, the most demanding steel qualities are tested as low as in -100˚C. Transition behavior (ductile-to-brittle transition in certain temperature) is typical for ferritic steel qualities. Factors that rise transition temperature have a negative effect on impact toughness. The complicated interactions between these factors bring challenge to the modelling (a harmful elements can produce a desirable effect together with another component). IJCNN 2008 Impact toughness is defined by Charpy-V impact toughness test (CVT). The test piece is broken with a pendulum and the energy absorbed in fracturing is measured. IJCNN 2008 The test is performed for three different samples from every steel plate, and it will be accepted if the average of the measurements is higher than the requirement. In addition, only one of the measurements is allowed to be not more than 30% under the requirement. The average of the measurements does not serve well as the target of the model. Instead, the target is 1 3 1 LIB log 10 2 3 i 1 mi IJCNN 2008 100 J The difference between the average of the measurements (left) and the lib transformation (right). IJCNN 2008 Data The data was collected at Ruukki's steel plate mill in Raahe, Finland during 2002-2007 and it consists of information about over 200 000 low-alloy steel plates and over 70 variables. After careful pre-processing, the final data included 202 667 observations and 42 variables. The variables included information about the shape and position of the test bar, the test temperature, chemical composition and process parameters. 63% of plates rejected in CVT were rejected because of one too-low measurement. IJCNN 2008 Model The model is developed for product design group, who plans the chemical composition, possible treatments during melting and some production requirements for heating, working and thermomechanical treatments. The model predicts the rejection probability in CVT. The model will guide designers in producing desired properties in the product at lower cost. The working allowance that keeps the product within tolerance can be decreased with the model. Ruukki competes with high quality, short delivery time, and a large product range. IJCNN 2008 Target values for chemical composition and for the rest of the process variables were used. MLP (multilayer perceptron) networks were trained with MATLAB R2007a. Half of the data was used for training and one quarter for validating and one quarter for model selection. The independence of the data sets was verified by not allowing plates from the same melting to belong to different sets. The network for LIB-model had two hidden layers with 39 and 5 neurons. For comparison a network for mean of the three measurements was trained as well (AVG-model). IJCNN 2008 Over 96% of plates Scatter plot between the predicted LIB and the model error. IJCNN 2008 The performance of the LIB-model and AVG-model. MSE (LIB) R (LIB) R (AVG) Train 0.0487 0.8747 0.9056 Test 0.0502 0.8676 0.9016 The rejection probability can be calculated with cumulative Normal distribution function L ˆ i Pi ˆ where L is the rejection limit, ̂ i is the estimated LIB and ̂ is the calculated sample deviation. IJCNN 2008 ROC-analysis of the results show that the LIB transformation discriminate better the rejected plates (LIB-model solid, AVG-model dashed). Rejection level LIB model AVG model 20J 0.9860 0.9586 27J 0.9850 0.9644 40J 0.9452 0.9192 100J 0.9110 0.9049 120J 0.9125 0.9104 Area under ROC curve IJCNN 2008 Conclusions Analysis showed that most of the rejections could have been recognized with the model, and thus, it is expected that the number of rejections will be reduced when the model is entered into the product design. The LIB-transformation improves the prediction result. At the moment, the model is in test use at the product design department in Rautaruukki, Raahe. The assumption of independence between model error and the variables is not valid, and the results can be improved further with the use of a variance model (heteroscedastic regression). IJCNN 2008 [email protected] [email protected] http://www.ee.oulu.fi/research/isg/ IJCNN 2008