Stress analysis of a pressurized circular hole with radial cracks in an infinite elastic plate

1970 ◽  
Vol 6 (3) ◽  
Author(s):  
HerbertK. Kutter
Keyword(s):  
Stress Analysis ◽  
Circular Hole ◽  
Elastic Plate ◽  
Radial Cracks

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.

A Stress Analysis of the Circular Orifice Problem for 2k Periodic Radial Cracks

2015 ◽  
Vol 744-746 ◽  
pp. 1611-1617
Author(s):  
Lu Guan
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Analytical Solution ◽  
Conformal Mapping ◽  
Stress Analysis ◽  
Complex Analysis ◽  
Crack Tip ◽  
Circular Orifice ◽  
Radial Cracks

Using the method of complex analysis, the study investigates the circular orifice problem for 2k periodic radial cracks through constructing conformal mapping, and provides an analytical solution for the crack-tip stress intensity factor (SIF). From this we have simulated the circular orifice problems of cross-shaped cracks, symmetrical eight-cracks, single cracks, symmetrical double-cracks, and symmetrical four-cracks.

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