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Determination of the critical-stress-intensity factor KIc from internally pressurized thick-walled vessels

The critical-stress-intensity factor of thick-walled rock specimens is determined from the pressure at failure

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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

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  2. 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).

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  4. Bowie, O. L. and Freese, C. E., Private communication.

  5. Koiter, W. T., Disc. of “Rectangular Tensile Sheet with Symmetric Edge Cracks,” by O. L. Bowie, J. Appl. Mech.,32,237 (1965).

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  6. Bueckner, H. F., Boundary Problems in Differential Equations, ed. by R. E. Langer, Univ. of Wisconsin Press, Wisconsin 216 (1960).

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  7. Timoshenko, S. andGoodier, J. N., “Theory of Elasticity, McGraw-Hill, New York (1951).

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  8. 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).

  9. McClintock, F. A. and Argon, A. S., Mechanical Behavior of Materials, Addison-Wesley Publishing Co., Inc. (1966).

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Authors and Affiliations

  1. Division of Engineering, Brown University, 02912, Providence, RI

    R. J. Clifton

  2. Terra Tek, Inc., 84108, Salt Lake City, UT

    E. R. Simonson, A. H. Jones & S. J. Green

Authors
  1. R. J. Clifton
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  2. E. R. Simonson
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  3. A. H. Jones
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  4. S. J. Green
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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

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