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Non-uniform shrinkage analysis of round billet using element-free Galerkin method

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Abstract

An element-free Galerkin thermal–mechanical calculation model for the solidification and shrinkage of round billet was established. The non-uniform heat flux measured in the plant trial was used as the boundary condition to simulate and analyze the deformation of solidified shell. The results indicate that the maximum and minimum shrinkages of the round billet at mold outlet are 0.78 and 0.21 mm, respectively, with apparent non-uniform characteristic. The local high-heat-flux region substantially dominates the non-uniformity of shell shrinkage, and the larger shrinkage usually derives from the high heat flux between the solidified shell and the mold in the circumferential direction. Also, the shrinkage on the shell surface has an immediate connection with the equivalent stress. Specifically, the shrinkage is more closely related to the radial stress component than the circumferential stress component.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 51974056, 51474047 and 51704073). The Fundamental Research Funds for the Central Universities and the Key Laboratory of Solidification Control and Digital Preparation Technology (Liaoning Province) are also gratefully acknowledged. Part of this work is performed using computational resources from Supercomputing Center of Dalian University of Technology.

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Authors and Affiliations

  1. School of Materials Science and Engineering, Dalian University of Technology, Dalian, 116024, Liaoning, China

    Lai-qiang Cai, Xu-dong Wang & Man Yao

  2. Key Laboratory of Solidification Control and Digital Preparation Technology (Liaoning Province), Dalian University of Technology, Dalian, 116024, Liaoning, China

    Lai-qiang Cai, Xu-dong Wang & Man Yao

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  1. Lai-qiang Cai
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  2. Xu-dong Wang
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Correspondence to Xu-dong Wang.

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Cai, Lq., Wang, Xd. & Yao, M. Non-uniform shrinkage analysis of round billet using element-free Galerkin method. J. Iron Steel Res. Int. 29, 80–87 (2022). https://doi.org/10.1007/s42243-021-00638-7

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  • DOI: https://doi.org/10.1007/s42243-021-00638-7

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