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Stress Analysis of the Radius and Ulna in Tennis at Different Flexion Angles of the Elbow

Author

Listed:
  • Yan Chen

    (Department of Physical Education, Northwest A&F University, Xi’an 712100, China)

  • Qiang Du

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China)

  • Xiyang Yin

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China)

  • Renjie Fu

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China)

  • Yiyun Zhu

    (School of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, China)

Abstract

In this paper, based on the finite element method, the stresses of the radius and ulna are analyzed at different flexion angles of the elbow when playing tennis. The finite element model is presented for the elbow position with flexion angles of 0°, 25°, 60°, and 80° according to the normal human arm bone. In this model, the whole arm with metacarpals, radius, ulna, humerus and scapula is considered. The calculation is simplified by setting the scapula and metacarpals as rigid bodies and using Tie binding constraints between the humerus and the radius and ulna. This model is discretized using the 10-node second-order tetrahedral element (C3D10). This model contains 109,765 nodes and 68,075 elements. The hitting forces applied to the metacarpal bone are 100 N and 300 N, respectively. The numerical results show that the highest principal stresses are at the points of 1/4 of the radius, the elbow joint, and the points of 1/10 of the ulna. The results of the maximum principal stress show that the external pressures are more pronounced as the elbow flexion angle increases and that the magnitude of the hitting force does not affect the principal stress distribution pattern. Elbow injuries to the radius can be reduced by using a stroke with less elbow flexion, and it is advisable to wear a reinforced arm cuff on the dorsal 1/4 of the hand, a radial/dorsal hand wrist, and an elbow guard to prevent radial ulnar injuries.

Suggested Citation

  • Yan Chen & Qiang Du & Xiyang Yin & Renjie Fu & Yiyun Zhu, 2023. "Stress Analysis of the Radius and Ulna in Tennis at Different Flexion Angles of the Elbow," Mathematics, MDPI, vol. 11(16), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3524-:d:1217646
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    References listed on IDEAS

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    1. Jing Cheng & Xiaowei Luo, 2022. "Analyzing the Land Leasing Behavior of the Government of Beijing, China, via the Multinomial Logit Model," Land, MDPI, vol. 11(3), pages 1-14, March.
    2. Afxentios Kekelekis & Pantelis Theodoros Nikolaidis & Isabel Sarah Moore & Thomas Rosemann & Beat Knechtle, 2020. "Risk Factors for Upper Limb Injury in Tennis Players: A Systematic Review," IJERPH, MDPI, vol. 17(8), pages 1-18, April.
    3. Frantisek Vaverka & Jiri Nykodym & Jan Hendl & Jiri Zhanel & David Zahradnik, 2018. "Association between serve speed and court surface in tennis," International Journal of Performance Analysis in Sport, Taylor & Francis Journals, vol. 18(2), pages 262-272, March.
    4. Cheng, Jing, 2022. "Analysis of the factors influencing industrial land leasing in Beijing of China based on the district-level data," Land Use Policy, Elsevier, vol. 122(C).
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