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Mathematical Model to Predict the Stress Concentration Factor on a Notched Flat Bar in Axial Tension

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Emerging Challenges for Experimental Mechanics in Energy and Environmental Applications, Proceedings of the 5th International Symposium on Experimental Mechanics and 9th Symposium on Optics in Industry (ISEM-SOI), 2015

Abstract

This paper presents the development of a polynomial equation of second degree which allows to predict the value of the stress concentration factor on a flat bar with two notches under to axial load for different rations r/L (notch radio/distance between notches) y W/L (bar width/distance between notches). To obtain the mentioned equation, one hundred simulations are carried out on finite element software to determine maximum stress on the bar and then the stress concentration factor is calculated. A regression analysis using the least square method is applied to fit the data to a quadratic polynomial equation which depends on the rations r/L y W/L. The equation obtained presents a correlation value R 2 = 0.98, thus this equation represents reliably the obtained data. The results estimated by the proposed equation for stress concentration factor are compared with the results presented by other authors; a good matching among these approaches is obtained.

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Authors and Affiliations

  1. Electromechanical Engineering Department, Instituto Tecnológico Superior de Irapuato, Carr. Irapuato-Silao km 12.5, Irapuato, Gto 36821, Mexico

    F. J. Ortega-Herrera, A. Lozano-Luna, J. P. Razón-González, J. M. García-Guzmán & F. Figueroa-Godoy

Authors
  1. F. J. Ortega-Herrera
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  2. A. Lozano-Luna
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  3. J. P. Razón-González
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  4. J. M. García-Guzmán
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  5. F. Figueroa-Godoy
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Correspondence to F. J. Ortega-Herrera .

Editor information

Editors and Affiliations

  1. Centro de Investigaciones en Óptica, Leon, Mexico

    Amalia Martínez-García

  2. Mechanical Engineering Department, Worcester Polytechnic Institute, Worcester, Massachusetts, USA

    Cosme Furlong

  3. Centro de Investigaciones en Óptica, Leon, Mexico

    Bernardino Barrientos

  4. Science and Technology (NEST), Worcester Polytechnic Institute, Worcester, Massachusetts, USA

    Ryszard J. Pryputniewicz

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Ortega-Herrera, F.J., Lozano-Luna, A., Razón-González, J.P., García-Guzmán, J.M., Figueroa-Godoy, F. (2017). Mathematical Model to Predict the Stress Concentration Factor on a Notched Flat Bar in Axial Tension. In: Martínez-García, A., Furlong, C., Barrientos, B., Pryputniewicz, R. (eds) Emerging Challenges for Experimental Mechanics in Energy and Environmental Applications, Proceedings of the 5th International Symposium on Experimental Mechanics and 9th Symposium on Optics in Industry (ISEM-SOI), 2015. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-28513-9_37

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  • DOI: https://doi.org/10.1007/978-3-319-28513-9_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28511-5

  • Online ISBN: 978-3-319-28513-9

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