Abstract
Stress-intensity factorsK were determined both analytically and by using a photoelastic method for the simple case of a rotating solid disk containing radial cracks. Good agreement is found not only between the calculated and the experimentalK factors, but also between the static and the dynamic toughness values determined in ASTM tension tests and spin-burst tests. This confirms the applicability of linear-elastic fracture mechanics and the validity of the brittle-fracture criterion. In addition, the use of the simple superposition procedure is justified as a basis for the analysis. The possibilities of and the limitations on applying these results to practical situations are considered.
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Abbreviations
- a :
-
radial position of the inner crack tip
- b :
-
radial position of the outer crack tip
- d :
-
thickness of the disk
- K I :
-
stress-intensity factor (for mode-I-loading), N/m3/2
- K Ia :
-
stress-intensity factor at the inner crack tip
- K Ib :
-
stress-intensity factor at the outer crack tip
- K Ic :
-
critical stress-intensity factor for static loading in plane strain
- K Ic * :
-
critical stress-intensity factor for centrifugal loading
- l=b−a :
-
crack length
- N :
-
fringe number
- R :
-
radius of the disk
- r, ϕ:
-
polar coordinates (center at middle of the disk)
- S :
-
photoelastic constant, N/fr-m
- x, y :
-
Cartesian coordinates
- ν:
-
Poisson's ratio
- ρ:
-
density
- ρ, ϑ:
-
polar coordinates (center at crack tip)
- ρN, ϑN :
-
polar coordinates of the isochromatic fringe orderN
- σ1, σ2 :
-
principal stresses
- σΥ:
-
material yield stress
- σ y (x,0):
-
stress distribution normal to the crack line
- σφ, στ :
-
principal stresses, circumferential and radial
- ω:
-
angular frequency
- ω c :
-
critical angular frequency at failure
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Blauel, J.G., Beinert, J. & Wenk, M. Fracture-mechanics investigations of cracks in rotating disks. Experimental Mechanics 17, 106–112 (1977). https://doi.org/10.1007/BF02324247
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DOI: https://doi.org/10.1007/BF02324247