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Mathematical Problems in Engineering
Volume 2015, Article ID 157892, 8 pages
Research Article

Modeling Material Flow Behavior during Hot Deformation Based on Metamodeling Methods

1State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
2College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China
3Key Laboratory of Nonferrous Materials and New Processing Technology of Ministry of Education of China, Guangxi University, Nanning 530004, China

Received 27 July 2015; Accepted 30 August 2015

Academic Editor: Mohsen Asle Zaeem

Copyright © 2015 Gang Xiao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Modeling material flow behavior is an essential step to design and optimize the forming process. In this context, four popular metamodel types Kriging, radial basis function, multivariate polynomial, and artificial neural network are investigated as potential methods for modeling the flow behavior of 6013 aluminum alloy. Based on the experimental data from hot compression tests, the modeling performance of these four methods was tested and subsequently compared from different aspects. It is found that all the methods are capable of constructing models for describing the hot deformation behavior. The merits of Kriging method over other three methods are highlighted when the sample size for modeling is decreased. Furthermore, the applicability of Kriging method is validated while decreasing the sample uniformity with respect to temperature or strain rate. It is proved that Kriging method is competent in modeling the material flow behavior and is the most effective one among the four popular types of metamodeling method.