On the application of the energy method to the stress concentration problem of a rectangular plate with a central circular hole

Abstract The author gives formulas by which the energy method may be readily applied for obtaining the moments and deflections for any lateral load on a clamped rectangular plate. He not only gives mathematical computations illustrating the application of the formulas, but also discusses the accuracy of the method compared to others, and points out its limitations.

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Discussion: “Three-Dimensional Solution for Stress Concentration Around a Circular Hole in a Plate of Arbitrary Thickness” (Sternberg, E., and Sadowsky, M. A., 1949, ASME J. Appl. Mech., 16, pp. 27–38)

Journal of Applied Mechanics ◽

10.1115/1.4010075 ◽

1950 ◽

Vol 17 (1) ◽

pp. 106-107

Author(s):

M. M. Frocht

Keyword(s):

Stress Concentration ◽

Circular Hole ◽

Three Dimensional ◽

Dimensional Solution ◽

Arbitrary Thickness

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Exact solutions of stresses, strains, and displacements of a perforated rectangular plate by a central circular hole subjected to linearly varying in-plane normal stresses on two opposite edges

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2014.03.023 ◽

2014 ◽

Vol 84 ◽

pp. 18-24 ◽

Cited By ~ 10

Author(s):

Jae-Hoon Kang

Keyword(s):

Exact Solutions ◽

Rectangular Plate ◽

Circular Hole ◽

Normal Stresses ◽

Plane Normal

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Simple formulae for the stress concentration factor for two- and three-dimensional holes in finite domains

The Journal of Strain Analysis for Engineering Design ◽

10.1243/0309324021515014 ◽

2002 ◽

Vol 37 (3) ◽

pp. 259-264 ◽

Cited By ~ 16

Author(s):

Q. Z Wang

Keyword(s):

Stress Concentration ◽

Circular Hole ◽

Stress Concentration Factor ◽

Concentration Factor ◽

Spherical Cavity ◽

Three Dimensional ◽

Finite Domain ◽

Three Dimensional Models ◽

Finite Domains ◽

Asymptotic Validity

First, based on an approximate analysis, simple closed-form expressions of the stress concentration factor (SCF) for two- or three-dimensional models with a circular hole or a spherical cavity in a finite domain are derived. Then, an asymptotic method is adopted to improve the accuracy of the derived solutions for an extremely large circular hole or spherical cavity, when the remaining ligament approaches zero. Exact limit SCF values for these two kinds of models were given by Koiter; these values are used for the adjustment of the coefficients in the SCF expressions. Finally, simple SCF formulae for these finite domain problems are obtained, their accuracy is demonstrated to be very good by comparison with the available data from the literature, and the asymptotic validity is guaranteed.

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