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A hybrid analytical–numerical model for calculating the maximum elastic force acting on a flow-driven elastic prolate spheroidal particle during its collision with a rigid wall

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Abstract

The paper proposes a hybrid analytical–numerical model for calculating the maximum elastic force acting on a flow-driven prolate spheroidal particle during its collision with a rigid wall. This model assumes that the maximum elastic force is a function of normal impact velocity, particle material properties, particle size, particle aspect ratio and particle orientation angle. The relationship between the parameters is determined by dimensional analysis. The remaining unknown coefficients are calibrated by performing finite element (FE) simulations. The solutions for particle aspect ratios of 1.5, 2 and 3 are presented. The proposed model is verified by comparison with independent FE simulation results for different normal impact velocities, particle material properties, particle sizes, particle aspect ratios and particle orientation angles. The results of the comparison between the results of the proposed model and the FE simulation results show a good agreement for small deformations of the particle. The model is valid for any properties of particle material, particle sizes and particle orientation angles.

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the data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors acknowledge the financial support by the Chinese Fundamental Research Funds for the Central Universities of the Project 2020kfyXJJS065; The authors also thank the Deutsche Forschungsgemeinschaft for the financial support in the framework of the Project STE 544/58 and the joint Chinese–Slovenian bilateral research Project BI-CN/20-22-002 funded by the Slovenian Research Agency and the Ministry of Science and Technology of China.

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China

    Rongxuan Hu, Yinshui Liu & Yan Cui

  2. Faculty of Mechanical Engineering, University of Maribor, Smetanova 17, 2000, Maribor, Slovenia

    Jure Ravnik & Matjaž Hriberšek

  3. Institute of Applied Mechanics, Friedrich-Alexander Universität Erlangen-Nürnberg, Paul-Gordan-Str. 3, 91052, Erlangen, Germany

    Paul Steinmann

  4. Glasgow Computational Engineering Centre, University of Glasgow, Glasgow, UK

    Paul Steinmann

Authors
  1. Rongxuan Hu
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  2. Yinshui Liu
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  3. Jure Ravnik
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  4. Matjaž Hriberšek
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  5. Paul Steinmann
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  6. Yan Cui
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Correspondence to Yan Cui.

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Hu, R., Liu, Y., Ravnik, J. et al. A hybrid analytical–numerical model for calculating the maximum elastic force acting on a flow-driven elastic prolate spheroidal particle during its collision with a rigid wall. Comput Mech 69, 1021–1029 (2022). https://doi.org/10.1007/s00466-021-02127-w

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