Experimental Mechanics

, Volume 19, Issue 11, pp 389–398 | Cite as

Failure analysis of stainless steel at elevated temperatures

Stainless-steel rings subjected to internal pressure are tested to failure at 1100°F
  • C. A. Sciammarella
  • M. P. K. Rao


In this paper, particular emphasis has been put on gathering information on the phenomena that take place at the crack tip of a crack propagating at 1100°F. Since the experimental program was directed toward studying crack propagation in tubing, the tests were conducted on rings.

From the experimentally obtained data and from the correlation with the theoretically predicted values, the following picture emerges for the fracture behavior with full plasticity present. There is a region surrounding the crack tip where very large plastic deformations take place. This region is surrounded by a much larger region where the loading is nearly proportional and the behavior can be predicted well by the results of the deformation theory of plasticity and the theory of singularity fields. As the crack propagation initiates, there is a drastic change in the crack-tip configuration. The crack tip does not blunt and a fairly sharp crack-tip region is observed. The crack tip carries a large deformation field of a far more localized nature than that observed at the initiation of the crack growth.


Stainless Steel Mechanical Engineer Plastic Deformation Elevated Temperature Fluid Dynamics 
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List of Symbols


crack length


ligament length

length of miniature tensile specimen


strain-hardening coefficient

(r, θ)

polar coordinates


notch-root radius


specimen thickness

(u, v)

displacement components


specimen cross-sectional area


various constants


crack-opening displacement


Young's modulus


function of the stress state


J-integral value for initiation of crack propagation


J-integral value characterizing singularity field


scale of Poisson's ratio, elastic moduli, forces, displacement, stresses and length, respectively



δcr, δnocr, δtotal

displacement between two reference sections

\( \in _e \)

engineering strain at the notch-root (hoop strain)

\( \in _h \)

hoop strain

\( \in _{ij} \)

strain field

\( \in _p \)

effective plastic strain

\( \in _r \)

natural strain at the notch root


hoop stress


effective stress


normal stress


arc length


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  1. 1.
    Elliott, D., Walker, E.F. and May, M.J., “The Determination and Applicability of COD Test Data,” Conf. Practical Applications of Fracture Mechanics to Pressure Vessel Technology, Inst. of Mech. Engrs., 65 (1971).Google Scholar
  2. 2.
    Berry, G. andBrook, R., “On the Measurement of Critical Crack Opening-Displacement when Slow Crack Growth Precedes Rapid Fracture,”Int. J. of Fracture,II (6),933–938 (Dec.1975).Google Scholar
  3. 3.
    McIntyre, P. and Elliott, D., B.I.S.R.A. Report MG/15/72 (1972).Google Scholar
  4. 4.
    Nichols, R.W., Burdekin, F.M., Cowan, A., Elliott, D. andIngham, T., Practical Fracture Mechanics, Chapman and Hall, London, F1-F113 (1969).Google Scholar
  5. 5.
    Fearnehough, G.D., Lees, G.M., Lowes, J.M. and Weiner, R.R., “The Role of Stable Ductile Crack Growth in the Failure of Structure,” Paper C33 at Conf. Practical Applications of Fracture Mechanics to Pressure Vessel Technology, Inst. of Mech. Engrs. (1971).Google Scholar
  6. 6.
    Wells, A.A., “Application of Fracture Mechanics At and Beyond General Yielding,”Br. Weld. J.,10,563–570 (1963).Google Scholar
  7. 7.
    Robinson, J.H. and Tetelman, A.S., “The Relationship Between Crack Tip Opening Displacement, Local Strain and Specimen Geometry,” Int. J. of Fracture,II, (3) (June 1975).Google Scholar
  8. 8.
    Fearnehough, G.D. andWatkins, B., “Applications of the Crack Opening-Displacement Approach to the Prediction of Pressurized Tube Failure,”The Int. J. of Fract. Mech.,4 (3),233–243 (Sept.1968).Google Scholar
  9. 9.
    Rice, J.R., Paris, P.C. and Merkle, J.G., “Some Further Results on J-Integral Analysis and Estimates,” Progress in Flaw Growth and Fracture Toughness Testing, ASTM STP 536, Amer. Soc. for Test. and Mats, 231–245 (1973).Google Scholar
  10. 10.
    Rice, J.R., “A Path Independent Integral and the Approximate Analysis of Strain Concentrations by Notches and Cracks,” J. of Appl. Mech. (June 1968).Google Scholar
  11. 11.
    Rice, J.R. and Johnson, M.A., “The Role of Large Crack Tip Geometry Changes in Plane Strain Fracture,” “Inelastic Behavior of Solids,” ed. M.F. Kannirren et al., McGraw-Hill, 641–661 (1970).Google Scholar
  12. 12.
    Levy, N., Marcal, P.V., Ostergren, W. J. andRice, J.R., Int. J. of Fract. Mech.,7,143 (1971).Google Scholar
  13. 13.
    Robinson, J.R. and Tetelman, A.S., In Fracture Toughness and Slow-Stable Cracking, ASTM STP 559, Amer. Soc. of Test. and Mat. (1975).Google Scholar
  14. 14.
    Sumpter, J.D.G. andTurner, C.E., “Method for Laboratory Determination of J c,”Cracks and Fracture, ASTM STP 601, Amer. Soc. of Test. and Mat., 3–18 (1976).Google Scholar
  15. 15.
    McMeeking, R.M., “Finite Deformation Analysis of Crack-Tip Opening in Elastic-Plastic Materials and Implications for Fracture,”J. Mech. Phys. Solids,25,357–381 (1977).CrossRefGoogle Scholar
  16. 16.
    Hutchinson, J.W., “Singular Behavior at the End of a Tensile Crack in a Hardening Material,” J. of the Mech. and Phys. of Solids,16 (1968).Google Scholar
  17. 17.
    Rice, J.R. and Rosegren, G.F., “Plane Strain Deformation Near a Crack Tip in a Power — Law Hardening Material,” J. of the Mech. and Phys. of Solids,16 (1968).Google Scholar
  18. 18.
    McClintock, F.A., “Plasticity Aspects of Failure,”Chapter 2, Fracture, H. Liebowitz Ed. Academic Press, New York (1968).Google Scholar
  19. 19.
    Liu, H.W. and Ke, J.S., “Moiré Method,” Chapter 4, Experimental Techniques in Fracture Mechanics, A.S. Kobayashi, Ed., Soc. for Exp. Stress Anal. Monograph No. 2 (1975).Google Scholar
  20. 20.
    Hu, W.L. and Liu, H.W., “Crack Tip Strain — A Comparison of Finite Element Calculations and Moiré Measurements,” Cracks and Fracture, ASTM STP 601, Amer. Soc. for Test. and Mat., 522–534 (1976).Google Scholar
  21. 21.
    Paris, P., Tada, H., Tahoor, A. and Ernst, H., “A Treatment of the Subject of Tearing Instability,” U.S.N.R.C. Report, NUREG-0311 (Aug. 1977).Google Scholar
  22. 22.
    Hutchinson, J.W. and Paris, P.C., “Stability Analysis of J —Controlled Crack Growth,” Division of Applied Sciences, Harvard University (Nov. 1977).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1979

Authors and Affiliations

  • C. A. Sciammarella
    • 1
  • M. P. K. Rao
    • 2
  1. 1.Department of Mechanics and Mechanical and Aerospace EngineeringIllinois Institute of TechnologyChicago
  2. 2.Ford Motor Co.Detroit

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