Elastic-Plastic Analyses of a Three-Point Bend Specimen and a Fracturing Pipe

  • A. S. Kobayashi
  • J. S. Cheng
  • A. F. Emery
  • S. N. Atluri
  • W. J. Love
Conference paper


An assumed displacement, hybrid finite element method was used to analyze the elastic-plastic plane strain state of a three point bend specimen. A shell code was used to analyze the elastic dynamic propagation of a girth crack in a stainless steel pipe subjected to uniaxial tension.


Crack Opening Displacement Crack Opening Displacement Stainless Steel Pipe Circumferential Crack Ductile Fracture Criterion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    “Standard Method of Test for Plane-Strain Fracture Toughness of Metallic Materials, E-399–74,” Book of ASTM Standards, Part 31, ASTM, Philadelphia, 1974.Google Scholar
  2. (2).
    D.R. Ireland, “Critical Review of Instrumented Impact Testing,” Proc. of Int’l Conf. Dynamic Fracture Toughness, The Welding Institute, Cambridge, July 1976, pp. 47–62.Google Scholar
  3. (3).
    W.K. Wilson and J.R. Osias, “A Comparison of Finite Element Solutions for an Elastic-Plastic Crack Problem,” Int’l Journ. of Fracture, Vol. 14, 1978, pp. R95-R108.Google Scholar
  4. (4).
    J.R. Rice, “Mathematical Analysis in the Mechanics of Fracture,” Fracture (edited by H. Liebowitz), Vol. 2, Chap. 3, Academic Press, 1968, pp. 273–277.Google Scholar
  5. (5).
    J.S. Cheng,”Assumed Displacement Hybrid Finite Element Method for a Finite Strain Analysis and Elastis-Plastic Fracture Mechanics, “Ph.D Thesis submitted to Universityof Washington, 1976Google Scholar
  6. (6).
    J.S. Cheng, S. N Atluri and A. S.Kobayashi,”Assumed Displacement Hybrid Finite Element Method for Non-Linear Elastic and Elastic-Plastic Analyses.” A Collection of Technical Papers on Structures and Materials, Vol, A, AIAA/ASME 18th Structures, Structured Dynamics and Material Conf., San Diego, California, March 21–23, 1977, pp 279–289Google Scholar
  7. (7).
    J.R. Rice, “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,” Journ of Applied Mechanics, Trans, of ASME, Vol. 38, Series E, No. 2, June 1968, pp. 379–386.MathSciNetCrossRefGoogle Scholar
  8. (8).
    Bucci, R.J., Paris, P.C., Landes, J.D. and Rice. J.R., J Integral Estimation Procedure, ASTM STP 514, 1972, pp. 40–69.Google Scholar
  9. (9).
    A.A. Wells, “Application of Fracture Mechanics at and Beyond General Yielding,” British Welding Research Report, Nov. 1963, pp. 563–570.Google Scholar
  10. (10).
    D.J. Hayes and C.E. Turner, “An Application of Finite Element Techniques to Post-Yield Analysis of Proposed Standard Three-Point Bend Fracture Test Pieces,” Int’l Journ of Fracture, Vol. 10, No. 1, March 1974, pp. 17–32.CrossRefGoogle Scholar
  11. (11).
    “Fracture Toughness Testing of Metallic Materials, Part ii, COD Testing,” COD Application Panel of the Navy Department Advisory Committee on Structural Steel, UK, December 1970, p. 54.Google Scholar
  12. (12).
    Emery, A.F., Love, W.J., and Kobayashi, A.F., “Fracture in Straight Pipes under Large Deflection Conditions- Part 1, Structural Deformation,” ASME Journal of Pressure Vessel Technology, Vol. 99, Series J, No. 1, February 1977, pp. 122–127, and Part II, “Pipe Pressures,” pp. 128–136.CrossRefGoogle Scholar
  13. (13).
    Emery, A.F., Kobayashi, A.S., and Love, W.J., “Pipe Stress Intensity Factors and Coupled Depressurization and Dynamic Crack Propagation,” EPRI RP231–1, Annual Report No. 4, 1977, Chapter 3.Google Scholar
  14. (14).
    Emery, A.F., Kobayashi, A.S., and Love, W.J., “Fracture Dynamics of a Propagating Crack in a Pressurized Ductile Cylinder,” Trans, of 4th International Conference on Structural Mechanics in Reactor Technology, Vol. F, Paper F-7, 1977.Google Scholar
  15. (15).
    Emery, A.F., Kobayashi, A.S., and Love, W.J., “An Analysis of the Propagation of a Brittle Circumferential Crack in a Pipe Subjected to Axial Stress.” ASME Preprint 78-PVP-101, 1978.Google Scholar
  16. (16).
    Maxey, W.A., Kiefner, J.F., Eiber, R.J., and Duffy, A.R., “Ductile Fracture Initiation, Propagation and Arrest in Cylindrical Vessels,” Fracture Toughness, ASTM STP 514, September 1972, pp. 70–81.Google Scholar
  17. (17).
    Shoemaker, A.K., Martney, R.F., “Displacement Consideration for a Ductile Propagating Fracture in a Line Pipe,” ASME Journal of Engineering Material Technology 96, 1974, pp. 318–322.CrossRefGoogle Scholar
  18. (18).
    Darlaston, B.J.L., and Harrison, R.P., “Ductile Failure of Thin Walled Pipes with Defects Under Combinations of Internal Pressure and Bending,” Proceedings of the Third International Conference on Pressure Vessel Technology, Part II Materials and Fabrication, ASME, 1977, pp. 669–676.Google Scholar
  19. (19).
    Watanabe, M., Mukai, Y., Kageo, S., and Fujihara, S., “Mechanical Behavior on Bursting of Longitudinally and Circumferentially Notched AISI 304 Stainless Steel Pipes by Hydraulic and Explosion Tests,” ibid loc cit, pp. 667–683.Google Scholar
  20. (20).
    Nora, Y., Fukuda, M., Nozaki, N., Koga, T., and Takeuchi, I., “Study on Resistivity of Variouypes of Steels Against Propagating Shear Fracture by Modified West Jefferson Type Burst Test, “ASME Prepaint 78-PVP-71, 1978.Google Scholar
  21. (21).
    Kanninen, M.F., Lampton, S. F., and popelar, “Steady State Crack Propagation in Pressurized Pipelines without Backfills, “ASME Journal in Pressure Vessel Technology, Vol. 98, Feb. 1976, pp. 56–65.CrossRefGoogle Scholar
  22. (22).
    Freund, L.B., Parks, D.M., Rice, J.R., “Running Ductile Fracture in a Pressurized Line Pipe,” Mechanics of Crack Growth, ASTM STP 590, 1976, pp 243–262.Google Scholar
  23. (23).
    Parks, D.M. and Freund, L.B., “On the Gasdynamics of Running Ductile Fracture in a Pressurized Line Pipe,” ASME Journal of Pressure Vessel Technology, Vol. 100, February 1978, pp. 13–17.CrossRefGoogle Scholar
  24. (24).
    Shih, C.F., Delorenzi, E.G., and Andrews, W.R., “Studies on Crack Initiation and Stable Crack Growth,” Elastic-Plastic Fracture (edited by J.D. Landes, J.A. Begley and G.A. Clarke), ASTM STP 668, 1979, pp. 65–120.CrossRefGoogle Scholar
  25. (25).
    Kannien, M. F., Rybicki, E.F., Stonesiter, R.B., Brock, D., Rosenfield, A.F., Marscall, C.W. and Haln, G.T. “Elastic- Plastic Fracture Mechanics for Two-Dimensional Stable Crack Growth and Instability Problems,” ibid loc cit., pp. 121–150Google Scholar

Copyright information

© Martinus Nijhoff Publishers,The Hague 1981

Authors and Affiliations

  • A. S. Kobayashi
    • 1
  • J. S. Cheng
    • 2
  • A. F. Emery
    • 3
  • S. N. Atluri
    • 4
  • W. J. Love
    • 3
  1. 1.University of WashingtonSeattleUSA
  2. 2.Fatigue and Fracture Mechanics, AD 34Rockwell InternationalLos AngelesUSA
  3. 3.University of WashingtonSeattleUSA
  4. 4.Georgia Institute of TechnologyAtlantaUSA

Personalised recommendations