Abstract
Stable crack growth is obtained by subjecting prenotched thick-walled cylinders to internal pressure, with the bore jacketed to keep the crack faces traction free. The critical-stress-intensity factor KIc is determined from the pressure at failure. Results are presented for PMMA and a variety of rocks.
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Abbreviations
- a :
-
inner cylinder radius (cm)
- b :
-
outer cylinder radius (cm)
- E :
-
Young's modulus (GPa)
- G :
-
energy-release rate (J/m2)
- ι :
-
nondimensional crack length
- K I :
-
stress-intensity factor (MN/m3/2)
- K I * :
-
nondimensional stress-intensity factor
- K Ic :
-
critical-stress-intensity factor (MN/m3/2)
- L :
-
crack length (cm)
- p :
-
internal pressure (MPa)
- S :
-
fracture-surface energy (J/m2)
- W :
-
ratio of outer to inner radii
- ν :
-
Poisson's ratio
- R :
-
polar-coordinate radius
- ζ :
-
polar-coordinate angle
- σζζ (R, ζ):
-
normal-stress component in theζ direction
- σRR (R, ζ):
-
normal-stress component in theR direction
References
Johnson, J. N., Clifton, R. J., Simonson, E. R. and Green, S. J., “Analysis of Fracture of Hollow Cylindrical and Spherical Rock Specimens Subjected to Internal Pressure with Application to Underground Nuclear Containment,” Terra Tek Rep. TR 73-50 (Sept. 1973).
Rice, J. R., “Mathematical Analysis in the Mechanics of Fracture,”Ch. 3, Treatise on Fracture—Volume II, ed. by H. Liebowitz, Academic Press, New York 191 (1968).
Bowie, O. L. andFreese, C. E., “Elastic Analysis for a Radial Crack in a Circular Ring,”Eng. Fract. Mech.,4 (2),315–321 (June 1972).
Bowie, O. L. and Freese, C. E., Private communication.
Koiter, W. T., Disc. of “Rectangular Tensile Sheet with Symmetric Edge Cracks,” by O. L. Bowie, J. Appl. Mech.,32,237 (1965).
Bueckner, H. F., Boundary Problems in Differential Equations, ed. by R. E. Langer, Univ. of Wisconsin Press, Wisconsin 216 (1960).
Timoshenko, S. andGoodier, J. N., “Theory of Elasticity, McGraw-Hill, New York (1951).
Ouchterlony, F., “Analysis av spanningstillstandet kring nagra olika geometrier med radiellt riktade sprickor, ett oa ndligt plant medium under inverkan av expansion skrafter,” Internal Rep. to Swedish Detonic Res. Found. Vinterviken-11748 Stockholm (1972).
McClintock, F. A. and Argon, A. S., Mechanical Behavior of Materials, Addison-Wesley Publishing Co., Inc. (1966).
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Clifton, R.J., Simonson, E.R., Jones, A.H. et al. Determination of the critical-stress-intensity factor KIc from internally pressurized thick-walled vessels. Experimental Mechanics 16, 233–238 (1976). https://doi.org/10.1007/BF02329274
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DOI: https://doi.org/10.1007/BF02329274