Modeling constitutive relationship of 6013 aluminum alloy during hot plane strain compression based on Kriging method

• Published in: Transactions of Nonferrous Metals Society of China 2016-04, Vol.26 (4), p.1096-1104
• Main Authors: XIAO, Gang, YANG, Qin-wen, LI, Luo-xing
• Format: Article
• Language: English
• Subjects: aluminum alloy; constitutive model; Constitutive relationships; Flow stress; hot deformation; Hot pressing; Kriging; Kriging method; Mathematical models; Plane strain; Strain rate; Yield strength
• ISSN: 1003-6326
• DOI: 10.1016/S1003-6326(16)64206-1

Hot plane strain compression tests of 6013 aluminum alloy were conducted within the temperature range of 613–773 K and the strain rate range of 0.001–10 s−1. Based on the corrected experimental data with temperature compensation, Kriging method is selected to model the constitutive relationship among flow stress, temperature, strain rate and strain. The predictability and reliability of the constructed Kriging model are evaluated by statistical measures, comparative analysis and leave-one-out cross-validation (LOO-CV). The accuracy of Kriging model is validated by the R-value of 0.999 and the AARE of 0.478%. Meanwhile, its superiority has been demonstrated while comparing with the improved Arrhenius-type model. Furthermore, the generalization capability of Kriging model is identified by LOO-CV with 25 times of testing. It is indicated that Kriging method is competent to develop accurate model for describing the hot deformation behavior and predicting the flow stress even beyond the experimental conditions in hot compression tests.