Model computation and biomechanical measurements of running shoes

Research Article
Open access

Model computation and biomechanical measurements of running shoes

Yuqi Zhang 1*
  • 1 Ulink College of Shanghai    
  • *corresponding author richie.zhang01@ulink.cn
Published on 17 November 2023 | https://doi.org/10.54254/2753-8818/10/20230333
TNS Vol.10
ISSN (Print): 2753-8826
ISSN (Online): 2753-8818
ISBN (Print): 978-1-83558-131-5
ISBN (Online): 978-1-83558-132-2

Abstract

The design of running shoes is mainly to reduce mechanical stress through the deformation of the viscoelastic midsole, which is usually made of ethylene vinyl acetate (EVA) foam. This study aims to analyze and compute the heel pad stresses through simulated strikes. For stresses and strains, a non-linear model and its differential equation (Eq.1) is reported. Through repeated measure ANOVAs, analyses and comparisons of the three methods for non-linear computation are made. Then detailed numerical approximations of a differential equation are derived using Euler’s method. In addition, Dinato reported biomechanical measures results for Air (Nike), Gel (Asics), and Adiprene (Adidas). The results are compared to simulated data correspondingly. The measured stresses (peak pressure, kPa) are 242.7 ± 40.8, 239.5 ± 420.0, and 246.5 ± 51.6 respectively. The computed boundary stress is 55 kPa. These show significant associations between the simulated and measured stress.

Keywords:

running shoes, stress-strain, nonlinear computation, biomechanical measurement

Zhang,Y. (2023). Model computation and biomechanical measurements of running shoes. Theoretical and Natural Science,10,148-153.
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References

[1]. D. J. Stefanyshyn and J. W. Wannop (2016) The influence of forefoot bending stiffness of footwear on athletic injury and performance, Footwear Science, vol. 8, no. 2, pp. 51-63.

[2]. A. Luximon and Y. Luximon (2003) Foot landmarking for footwear customization, Ergonomics, vol. 46, no. 4, pp. 364-383.

[3]. J. T. M. Cheung (2005) A 3-dimensional finite element model of the human foot and ankle for insole design, Archives of physical medicine and rehabilitation, vol. 86, no. 2, pp. 353-358.

[4]. R. Verdejo and N. Mills (2004) Heel-shoe interactions and the durability of eva foam running-shoe midsoles, Journal of biomechanics, vol. 37, no. 9, pp. 1379–1386.

[5]. J. E. Miller Young and N. A. Du (2002) Material properties of the human calcaneal fat pad in compression: experiment and theory, Journal of biomechanics, vol. 35, no. 12, pp. 1523-1531.

[6]. M. M. R. Amit Gefen (2001) In vivo biomechanical behavior of the human heel pad during the stance phase of gait, Journal of biomechanics, vol. 34, no. 12, pp. 1661-1665.

[7]. E. Suli (2010) Numerical solution of ordinary differential equations, Mathematical Institute, University of Oxford.

[8]. R. Verdejo (2002) Performance of eva foam in running shoes, The engineering of sport, vol. 4, pp. 580-587.

[9]. C. U. E. (2003) Department, Materials data book.

[10]. G. Lewis (2003) Finite element analysis of a model of a therapeutic shoe: effect of material selection for the outsole, Bio-Medical Materials and Engineering, vol. 13, no. 1, pp. 75-81.

[11]. R. C. Dinato and A. P. Ribeiro (2015) Biomechanical variables and perception of comfort in running shoes with different cushioning technologies, Journal of Science and Medicine in Sport, vol. 18, no. 1, pp. 93-97.

[12]. N. E. Tzur (2006) Role of eva viscoelastic properties in the protective performance of a sport shoe: Computational studies, Bio-medical materials and engineering, vol. 16, no. 5, pp. 289-299.

Cite this article

Zhang,Y. (2023). Model computation and biomechanical measurements of running shoes. Theoretical and Natural Science,10,148-153.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation

ISBN：978-1-83558-131-5(Print) / 978-1-83558-132-2(Online)
Editor：Roman Bauer
Conference website: https://www.confmpcs.org/
Conference date: 12 August 2023
Series: Theoretical and Natural Science
Volume number: Vol.10
ISSN：2753-8818(Print) / 2753-8826(Online)

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References

[1]. D. J. Stefanyshyn and J. W. Wannop (2016) The influence of forefoot bending stiffness of footwear on athletic injury and performance, Footwear Science, vol. 8, no. 2, pp. 51-63.

[2]. A. Luximon and Y. Luximon (2003) Foot landmarking for footwear customization, Ergonomics, vol. 46, no. 4, pp. 364-383.

[3]. J. T. M. Cheung (2005) A 3-dimensional finite element model of the human foot and ankle for insole design, Archives of physical medicine and rehabilitation, vol. 86, no. 2, pp. 353-358.

[4]. R. Verdejo and N. Mills (2004) Heel-shoe interactions and the durability of eva foam running-shoe midsoles, Journal of biomechanics, vol. 37, no. 9, pp. 1379–1386.

[5]. J. E. Miller Young and N. A. Du (2002) Material properties of the human calcaneal fat pad in compression: experiment and theory, Journal of biomechanics, vol. 35, no. 12, pp. 1523-1531.

[6]. M. M. R. Amit Gefen (2001) In vivo biomechanical behavior of the human heel pad during the stance phase of gait, Journal of biomechanics, vol. 34, no. 12, pp. 1661-1665.

[7]. E. Suli (2010) Numerical solution of ordinary differential equations, Mathematical Institute, University of Oxford.

[8]. R. Verdejo (2002) Performance of eva foam in running shoes, The engineering of sport, vol. 4, pp. 580-587.

[9]. C. U. E. (2003) Department, Materials data book.

[10]. G. Lewis (2003) Finite element analysis of a model of a therapeutic shoe: effect of material selection for the outsole, Bio-Medical Materials and Engineering, vol. 13, no. 1, pp. 75-81.

[11]. R. C. Dinato and A. P. Ribeiro (2015) Biomechanical variables and perception of comfort in running shoes with different cushioning technologies, Journal of Science and Medicine in Sport, vol. 18, no. 1, pp. 93-97.

[12]. N. E. Tzur (2006) Role of eva viscoelastic properties in the protective performance of a sport shoe: Computational studies, Bio-medical materials and engineering, vol. 16, no. 5, pp. 289-299.

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