Abstract
As discussed in Chapters 2 and 3, the application of the LEFM approach to structural life assessment is limited to a low load environment where the bulk of the structure is elastic and crack tip plastic deformation is highly localized. In many structural parts that are made of low-strength, tough material, however, an appreciable amount of crack tip plastic deformation and stable crack growth (also called stable tearing or simply tearing) can occur prior to instability. Application of the LEFM theory, using the stress intensity factor, K, is not adequate to characterize the crack tip field behavior in the presence of large yielding and extensive stable crack growth. Fracture mechanics concepts other than the LEFM approach are therefore necessary to address structural integrity analysis of components that are ductile. Two fracture mechanics approaches are discussed in this book for the analysis of tough metals used in building aerospace, aircraft, and nuclear structures, where fracture behavior often extends beyond the elastic dominant regime. The first approach is called the Elastic-Plastic Fracture Mechanics (EPFM) theory and it uses the J-Integral concept first proposed by Rice (1968) as a path independent integral for characterizing crack tip stresses and strains [1].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. R. Rice, “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notch and Cracks,” Journal of Applied Mechanics, June, 1968, pp. 379–386.
B. Farahmand, “Fatigue and Fracture Mechanics of High Risk Parts,” Chapman & Hall, 1997, ch. 6
B. Farahmand, “Fatigue and Fracture Mechanics of High Risk Parts,” Chapman & Hall, 1997, pp. 169
C. E. Inglis, “Structure in a Plate due to Presence of Cracks and Sharp Corners,” Trans. Inst. Naval Architects London, Vol. 60, p. 219, March, 1913.
A. S. Tetelman, and A. J. McEvily, JR., “Fracture of Structural Materials”, John Wiley& Sons Inc., 1967, pp 39–48.
G. R. Irwin, Fracture, Handbuch der Physik, VI, pp. 551–590, Springer-Verlag, Heidelberg, 1958.
J. L. Sanders, “On the Griffith-lrwin Fracture Theory,” ASME, Trans., Vol. 27 E, 1961, pp. 352–353.
C. F. Shih, et al., “Methodology for Plastic Fracture,” General Electric Corporate Research and Development Division Report to the EPRI on RP601-2, EPRI NP 1735, Schenectday, N. Y. March, 1981.
J. R. Rice and D. M. Tracey, “Computational Fracture Mechanics,” Numerical and Computer Methods in Structural Mechanics (Ed. S. J. Feves et al.), Acadamic Press, N. Y., 1973, pp. 585–623.
J. N. Roberson and A. S. Tetelman, “The critical Crack Tip Opening Displacement and Microscopic Fracture Criteria for Metals, UCLA RE 7360, University of California, Los Angeles, Ca, 1973.
C. F. Shih, “Relationship Between the J-integral and the Crack Opening Displacement for Stationary and Extending Cracks,” General Electric Co. TIS Report No. 79crd075, April 1979.
M. G. Dawes, “Elastic-Plastic Fracture Toughness Based on the COD and the J-Contour Integral Concepts,” Elastic Plastic Fracture, ASTM STP 668, ASTM 1976, pp. 307–333.
M. F. Kanninen and et al, “Elastic-Plastic Fracture Mechanics for Two Dimensional Stable Crack Growth and Instability Problems,” Elastic-Plastic Frcature, STP 668, ASTM, 1977, pp. 121–150.
J. W. Hutchinson, Journal of the Mechanics and Physices of Solids, VOL 16, 1968, pp. 13–31.
J. W. Hutchinson, Journal of the Mechanics and Physices of Solids, VOL. 16, 1968, pp. 337–347.
J. R. Rice, and G. F Rosengren, Journal of Physices and Mechanics of Solids, Vol. 16, 1968, pp. 1–12.
Annual Book of ASTM Standards, “Standard Test Method for Measure of Fracture Toughness,” Vol. 03.01, 1999, pp. 981–1013.
A. Saxena and S. J. Hudak, “Review and Extension of Complience Information for Common Crack Growth Specimen,” International Journal of Fracture Mechanics” Vol. 14, October 1978, pp. 453–468.
M. G. Vassilaros, J. A. Joyce, and J. P. Gudas in Fracture Mechanics: Twelfth Conference, ASTM STP 700, American Society for Testing Materials, 1980, pp. 251–270.
E. M. Hackett, M. T. Kirk, and R. A. Hayes, “An Evaluation of J-R Curve Testing of Nuclear Piping Material Using The Direct Potential Drop Technique,” NURG/CR-4540, U.S. Nuclear Regulatory Commission, August 1986.
B. Marandent, G. Sanz. “Flaw Growth and Fracture,” ASTM STP 631, American Society for Testing Materials, 1977, pp. 462–476.
S. J. Klima, D. M. Fisher and R. J. Buzzard, Journal of Testing and Evaluation, Vol. 4. No. 6, 1976, pp. 397–404.
J. H. Underwood, D. C. Winters, and D. P. Kendall, “The Section and Measurements of Cracks,” The Welding Institute, Cambridge England, 1976, pp. 31–39
H. Takahashi, M. Khan, K. Shimomura, and M. Suzuki, in Proceeding, Fourth International Accoustic Emission Symposium, High Pressure Institute, Japan, Tokyo, 1978, Session 8, pp. 24–25.
C. F. Shih, H.G. deLorenzi, and W. R. Andrews, “Studies on Crack Initiation and Stable Crack Growth,” Elastic Plastic Fracture, ASTM STP 668, pp. 65–70.
J. A. Begley, and J. D. Landes in Fracture Analysis, ASTM STP 560, American Society foresting Material, 1974, pp. 170–180
Annual Book of ASTM Standards, “Standard Test Method for Plane Strain Fracture Toughness of Metallic Materials,” Vol. 03.01, 1999, pp. 413–443.
B. Farahmand, “Fatigue and Fracture Mechanics of High Risk Parts,” Chapman and Hall, 1997, pp. 179–176.
J. W. Hutchinson, and P.C. Paris, “Stability Analysis of J-Controlled Crack growth,” Elastic Plastic Fracture, ASTM STP 668, pp. 37–64.
B. Farahmand, “Fracture Prperties of 1460 Russian Alloy,” Boeing Technical Report, 1977, pp. 60–70.
J. A. Begley, and J. D. Landes, “The J Integral as a Fracture Criterion,” Fracture Toughness, ASTM STP 415, 1971, pp. 1–23.
J. D. Landes and J. A. Begley,”The Effect of Specimen Geometry on JIC,” Fracture Toughness, ASTM STP 415, 1971, pp. 24–39.
J. R. Rice, in Fracture, An Advance Treatise, Vol. II, Acadamic Press, pp. 191–308
J. R. Rice, P.C. Paris, and J. G. Merkle, “Some Further Results of J-lntegrai Analysis and Estimates, Progress in Flaw Growth and Fracture Toughness Testing,” ASTM STP 536, PP. 231–245, 1973.
W. R. Andrews, G. A. Clark, P. C. Paris, and D. W. Schmidt, “Single Specimen Tests for JIC Determination,” Mechanics of Crack Growth, ASTM STP 590, 1976, PP. 27–42.
J. A. Joyce, J. P. Gudas, “Computer Interactive JIC Testing of Navy Alloys,” Elastic Plastic Fracture, ASTM STP 668, 1979, PP. 451–468.
J. D. Landes, H. Walker, and G. A. Clarke, “Evaluation of Estimation Procedures Used in J-lntegral Testing,” Elastic-Plastic Fracture, ASTM STP 668, 1977, pp. 266–287.
A. A. Willoughby, and S. J. Garwood, “On the Unloading Complience Method of Driving Single Specimen R-Curve in Three Point Bending,” Elstic-Plastic Fracture, Vol. 2, ASTM STP 803, 1983, pp. 373–397.
J. D. G. Sumpter, and C. E. Turner, “Method for Laboratory Determination of JC,” Cracks and Fracture, ASTM STP 601, 1976, pp. 3–18.
J. D. Landes and J. A. Begley, “The Results From J-lntegral Studies: An Attempt to Establish a JIC Testing Procedure.
M. Nevalainen, and R. H. Dodds, Jr., “Numerical Investigation of 3D Constraint Effects on Brittle Fracture in SE(B) Bending and C(T) Specimens,” UILU-ENG-95-2001, Department of Civil Engineering, University of Illinois, Urbana, IL.
C. e. Shih, H. G. DeLorenzi, and W. R. Andrew, “Studies on Crack Initiation and Stable Crack Growth,” Elastic-Plastic Fracture, ASTM STP 668, 1979, pp. 65–120.
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media New York
About this chapter
Cite this chapter
Farahmand, B. (2001). Elastic-Plastic Fracture Mechanics (EPFM) and Applications. In: Fracture Mechanics of Metals, Composites, Welds, and Bolted Joints. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1585-2_4
Download citation
DOI: https://doi.org/10.1007/978-1-4615-1585-2_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5627-1
Online ISBN: 978-1-4615-1585-2
eBook Packages: Springer Book Archive