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

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 amon...

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Bibliographic Details
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
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Summary: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.
ISSN:1003-6326
DOI:10.1016/S1003-6326(16)64206-1