On the stress concentration problem around a circular hole in plane asymmetric elasticity

1975 ◽  
Vol 21 (1-2) ◽  
pp. 127-140 ◽  
Author(s):  
R. D. Bhargava ◽  
S. K. Ghosh
Keyword(s):  
Stress Concentration ◽  
Circular Hole ◽  
Concentration Problem ◽  
Asymmetric Elasticity

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

2002 ◽  
Vol 37 (3) ◽  
pp. 259-264 ◽  
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.

The Bending and Twisting of a Flat Elastic Plate with a Reinforced Circular Hole

1960 ◽  
Vol 11 (2) ◽  
pp. 137-158 ◽  
Author(s):  
R. Hicks
Keyword(s):  
Stress Concentration ◽  
Boundary Conditions ◽  
Circular Hole ◽  
Classical Theory ◽  
Elastic Plate ◽  
Radial Stress ◽  
Lateral Loading ◽  
Stress Variation ◽  
Wide Range

SummaryThis paper considers the problem of a reinforced circular hole in a bent or twisted flat elastic plate having small deflections. The reinforcement is chosen so that the ratio of its radial width to the diameter of the hole is small; this implies that there is no radial stress variation across sections of the reinforcement. Using the classical theory for bending, expressions are obtained for the boundary conditions at the junction of the reinforcement and plate. The expressions are general in so far as they are also applicable to plates under the action of lateral loading. The following particular problems are considered: —(a) uniform bending about one or two axes, (b) uniform twisting about two axes. For the particular case of uniform bending about one axis, data has been obtained for the stress concentration around holes for plates and reinforcements having a reasonably wide range of practical dimensions.

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