Abstract
A photoelastic and a numerical investigation has been carried out to determine the stress-concentration factors at the edge of a central circular hole in a tensile strip for different ratios of hole diameter to width of the strip. The photoelastic data and the numerical results indicate that the stress-concentration factor at the minimum cross-sectional area tends to a value of two if the ratio of the hole diameter to the strip-width approaches a value of one.
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Abbreviations
- A net :
-
minimum cross-sectional area of model (two ligaments), mm2
- a :
-
hole diameter, mm
- D :
-
diameter test disk, mm
- f σ :
-
stress-fringe constant, N/fr-mm
- h :
-
height of ligament, mm
- k :
-
stress-concentration factor\(( = \sigma _{\max } /\sigma _{net} )\)
- L :
-
length of model, mm
- N :
-
fringe order, fr
- P :
-
load, N
- t :
-
thickness of model, mm
- w :
-
width of model, mm
- σ:
-
applied stress on gross area, N/mm2
- \(\sigma _{\max }\) :
-
maximum stress, N/mm2
- \(\sigma _{\min }\) :
-
minimum stress, N/mm2
- \(\sigma _{net}\) :
-
nominal stress based on net area (=P/A net), N/mm2
References
Belie, R. G. andAppl, F. J., “Stress Concentrations in Tensile Strips with Large Circular Holes,”Experimental Mechanics,12(4),190–195 (1972).
Fuehring, H., “Stress Concentrations in Tensile Strips with large Circular Holes—Discussion,”Experimental Mechanics,13(6),255–256 (1973).
Hooke, C. J., “Numerical Solution of Plane Elastostatic Problems by Point-Matching,”Strain Analysis,3(2),109–114 (1968).
Koiter, W. T., “An Elementary Solution of Two Stress-Concentration Problems in the Neighbourhood of a Hole,”Qtly. of Appl. Math.,15,303 (1957).
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van Riesen, P.E., Spiering, R.M.E.J. Investigation of stress-concentration factors in tensile strips. Experimental Mechanics 15, 111–113 (1975). https://doi.org/10.1007/BF02320641
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DOI: https://doi.org/10.1007/BF02320641