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Analysis of Shells, Plates, and Beams pp 311–330Cite as

Open Circular Hole in a Finite Plate Under Tension Treated by Airy Stress Function Method

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 134))

Abstract

Open circular holes are an essential design feature and are often placed in narrowplates for reasons of limited space raising high stress concentrations. To create lightweight optimal structures precise analysis tools are vital, which can be based on analytical means providing efficient computation. That is why focus of the present paper is the determination of the stress field for the isotropic finite-width open-hole problem under uniform tension using the Airy stress function. This is performed by taking the stress field of corresponding infinite domain problem and supplementing it with auxiliary functions enabling to continuously model traction-free edges. The results are eventually validated against Finite Element analyses.

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Author information

Authors and Affiliations

  1. Fachgebiet Strukturmechanik, TU Darmstadt, Franziska-Braun-Str. 7, 64287, Darmstadt, Germany

    Nguyen-Hoang Minh & Wilfried Becker

Authors
  1. Nguyen-Hoang Minh
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  2. Wilfried Becker
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Corresponding author

Correspondence to Nguyen-Hoang Minh .

Editor information

Editors and Affiliations

  1. Chair of Engineering Mechanics, Faculty of Mechanical Engineering, Institute of Mechanics, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Institute of Applied Mathematics, Tbilisi State University, Tbilisi, Georgia

    Natalia Chinchaladze

  3. FB 4 / FG 15 / IW 3, Universität Bremen, Bremen, Germany

    Reinhold Kienzler

  4. Institut für Mechanik, MS2, TU Berlin, Berlin, Berlin, Germany

    Wolfgang H. Müller

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Minh, NH., Becker, W. (2020). Open Circular Hole in a Finite Plate Under Tension Treated by Airy Stress Function Method. In: Altenbach, H., Chinchaladze, N., Kienzler, R., Müller, W. (eds) Analysis of Shells, Plates, and Beams. Advanced Structured Materials, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-030-47491-1_16

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  • DOI: https://doi.org/10.1007/978-3-030-47491-1_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-47490-4

  • Online ISBN: 978-3-030-47491-1

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