The Effect of Elliptic Holes on the Bending of Thick Plates

Author:

Naghdi P. M.1

Affiliation:

1. University of Michigan, Ann Arbor, Mich.

Abstract

Abstract The effects of an elliptic hole on both plain bending and pure twist of an elastic plate are investigated by application of the recent theory for bending of plates due to E. Reissner, where the influence of shear deformation and transverse-normal stress is taken into account. The stress-concentration factors are given for both cases mentioned. The solution, which is approximate in character, involves modified Mathieu functions of the second kind. In limiting cases, the results reduce exactly to the solution of corresponding problems with circular hole, as well as to the predictions of the classical theory of plates.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An isogeometric boundary element formulation for stress concentration problems in couple stress elasticity;Computer Methods in Applied Mechanics and Engineering;2023-03

2. Strain concentrations in notched laminates under bending;Aircraft Engineering and Aerospace Technology;2009-05-15

3. List of Publications of Paul M. Naghdi;Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids;1995

4. Moment distributions around holes in symmetric composite laminates subjected to bending moments;AIAA Journal;1990-05

5. Photoelastic analysis of a thick plate with an elliptical hole subjected to simple out-of-plane bending;Experimental Mechanics;1978-09

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