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A novel method for accurate simulations of concentrated forces in finite element analysis

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Abstract

In this paper, the analytical displacement solution at the point of the application of a concentrated force is derived using elastic mechanics. Then, the concentrated-force asymptotic function is obtained. Next, by introducing the concentrated-force asymptotic functions into finite element analysis, a method of simulating concentrated forces is developed. The proposed method can obtain an accurate stress field without any mesh refinement at the point of the application of a concentrated force. Meanwhile, the proposed method has considered the effect of the direction of the concentrated forces. The numerical tests reveal that the proposed method is convergent, accurate and feasible for obtaining satisfactory results.

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Acknowledgements

The work is supported by the National Natural Science Foundation of China (nos. 52027814, 51839009, 51679017).

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Authors and Affiliations

  1. School of Civil Engineering, Wuhan University, Wuhan, 430072, China

    Junwei Chen & Xiaoping Zhou

  2. School of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Xiaoping Zhou, Wuwen Yao & Weiyi Zi

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  1. Junwei Chen
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  2. Xiaoping Zhou
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  3. Wuwen Yao
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  4. Weiyi Zi
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Correspondence to Xiaoping Zhou.

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Chen, J., Zhou, X., Yao, W. et al. A novel method for accurate simulations of concentrated forces in finite element analysis. Engineering with Computers 38, 2791–2803 (2022). https://doi.org/10.1007/s00366-020-01239-w

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