Structural Engineering and Mechanics

  • 제36권6호
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  • Pages.669-678
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  • 2010
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Analytical studies on stress concentration due to a rectangular small hole in thin plate under bending loads

  • Yang, Y. (School of Civil Engineering and Transportation, South China University of Technology) ;
  • Liu, J.K. (Department of Mechanics, Sun Yat-sen University) ;
  • Cai, C.W. (Department of Mechanics, Sun Yat-sen University)
  • 투고 : 2009.10.09
  • 심사 : 2010.08.10
  • 발행 : 2010.12.20
⟨ 이전 논문 다음 논문 ⟩

초록

In general means, the stress concentration problem of elastic plate with a rectangular hole can be investigated by numerical methods, and only approximative results are derived. This paper deduces an analytical study of the stress concentration due to a rectangular hole in an elastic plate under bending loads. Base on classical elasticity theory and FEM applying the U-transformation technique, the uncoupled governing equations with 3-DOF are established, and the analytical displacement solutions of the finite element equations are derived in series form or double integral form. Therefore, the stress concentration factor can then be discussed easily and conveniently. For the plate subjected to unidirectional bending loads, the non-conforming plate bending element with four nodes and 12-DOF is taken as examples to demonstrate the application of the proposed method. The inner force distribution is obtained. The solutions are adequate for the condition when the hole is far away from the edges and the thin plate subjected to any transverse loadings.

키워드

참고문헌

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피인용 문헌

  1. An Analytical Study on Stress Concentration due to a Cuboid Hole in Structures vol.510, pp.1662-7482, 2014, https://doi.org/10.4028/www.scientific.net/AMM.510.168
  2. Stress concentration around a rectangular cuboid hole in a three-dimensional elastic body under tension loading vol.88, pp.8, 2018, https://doi.org/10.1007/s00419-018-1369-7