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Hybrid Inverse Parameter Identification of Fully Coupled Ductile Damage Model for Steel Sheet DP600 with Two Different Algorithms: Trust Region and Genetic Algorithms

Authors
  • Cao, Ke1
  • Yue, Zhen-ming1
  • Zhao, Xiao-di1
  • Qi, Jiashuo1
  • Gao, Jun1
  • 1 Shandong University, School of Mechanical, Electrical and Information Engineering, Weihai, 264209, China , Weihai (China)
Type
Published Article
Journal
Journal of Materials Engineering and Performance
Publisher
Springer US
Publication Date
May 13, 2019
Volume
28
Issue
5
Pages
3149–3156
Identifiers
DOI: 10.1007/s11665-019-04087-y
Source
Springer Nature
Keywords
License
Yellow

Abstract

Ductile damage model has been widely regarded as a valuable method to predict the failure of sheet metal. Based on the thermodynamic theory and continuum damage mechanics, the fully coupled ductile damage model can be developed, which also can better predict the initiation and growth of the fracture. But the identifications of model parameters with theoretical methodology are difficult due to the complex coupling relationships existing among all state variables. The inverse methodology is regarded as a good method to resolve the problem. In this paper, the recently proposed fully coupled ductile damage model is chosen to investigate the deformation behavior of DP600 steel, in which the mixed saturation isotropic and kinematic hardenings are taken into account and fully coupled with the ductile damage. During the identification process, the least square formula of the error between experimental and numerical results is selected as the target function. The trust region algorithm and genetic algorithm are used with the help of MATLAB for the identification of three damage parameters. Finally, by comparing the experimental and numerical results, the validations of two algorithms are proved. The efficiency of the optimization process with trust region algorithm is higher, but with lower accuracy. Meanwhile, the optimization process is greatly affected by the chosen initial values of the ductile damage parameters.

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