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Inverse parameter estimation of the Cowper-Symonds material model for electromagnetic free bulge forming

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Abstract

Electromagnetic forming (EMF) processes require no more than about 300 μs to complete. Given the high speeds involved (150 m/s to 250 m/s), it is almost impossible to determine the flow stress through the application of a mechanical property test. In this study, the flow stress of Al 1100-O at high speeds was predicted by inverse parameter estimation. The constitutive equation of flow stress is given by the Cowper–Symonds model. Firstly, a practical experiment process is set up with a spiral coil for the EMF-free bulge test. To compare the results of our experiments with the numerical results, an EMF simulation was prepared and the X- and Zdisplacements of the sheet on the center line were measured to compare them with the results of experiments as obtained using 2- D scanning. To find the optimal properties for the EMF process, a reduced-order model (ROM) with the Kirging method was adopted to form the basis. From this model, an inverse parameter estimation was conducted using the nonlinear least squares method with a genetic algorithm. By comparing the results of the experiments with the ROM results, the validity of the flow stress obtained by an inverse estimation was validated.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Pusan National University, 2, Busandaehak-ro 63beon-gil, Geumjeong-gu, Busan, 46241, South Korea

    Hak-Gon Noh, Beom-Soo Kang & Jeong Kim

  2. ERC/ITAF, Pusan National University, 2, Busandaehak-ro 63beon-gil, Geumjeong-gu, Busan, 46241, South Korea

    Kyunghoon Lee

Authors
  1. Hak-Gon Noh
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  2. Kyunghoon Lee
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  3. Beom-Soo Kang
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  4. Jeong Kim
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Correspondence to Jeong Kim.

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Noh, HG., Lee, K., Kang, BS. et al. Inverse parameter estimation of the Cowper-Symonds material model for electromagnetic free bulge forming. Int. J. Precis. Eng. Manuf. 17, 1483–1492 (2016). https://doi.org/10.1007/s12541-016-0174-x

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  • DOI: https://doi.org/10.1007/s12541-016-0174-x

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