Skip to main content
SpringerLink
Log in

Plastic deformation and crack growth behavior

  • Chapter
Plasticity and failure behavior of solids

Part of the book series: Fatigue and Fracture ((FAAF,volume 3))

Abstract

Even though the theory of plasticity has been used extensively to describe the permanent deformation of solids, some of the hidden restrictions imposed by the underlying assumptions are subtle and can be unwittingly overlooked in application. Generally speaking, the theory can be divided into two ranges. In situations where the plastic strains dominate the global behavior of the structure, the theory has been successful, as in the case of limit analysis. The same cannot be said for the application of plasticity to regions near holes or defects where the local strain rates can differ appreciably from those at distances away. Ordinary plasticity does not account for any change in material properties with load or strain rate history because the same constitutive relation is generally applied to all elements in a solid body. No provisions are made for the elevation of strain rates in elements next to the defects or cracks. Unless certain modifications are made, plasticity will not give a realistic prediction of crack growth behavior, a problem that has attracted the attention of many past investigations in fracture mechanics.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. SIH, G.G., Fracture Mechanics in Engineering Application, Edited by G.G. Sih and S.R. Valluri, Sijthoff and Noordhoff (now Kluwer Academic Publishers), The Netherlands, 1979, pp. 3–29.

    Google Scholar 

  2. SIH, G.G. and MADENCI, E., Journal of Engin. Fract. Mech., Vo. 18, No. 6, 1983, pp. 1159–1171.

    Article  Google Scholar 

  3. HUTCHINSON, J.W., Journal Mech. Phys. Solids, Vol. 16, 1968, pp. 337–342.

    Article  ADS  Google Scholar 

  4. HILTON, P.D. and HUTCHINSON, J.W., Journal of Engin. Fract. Mech., Vol. 3, 1971, pp. 435–451.

    Article  Google Scholar 

  5. SIH, G.G., Mechanics of Fracture, Introductory Chapters of Vols. I to VII, Martinus Nijhoff (Kluwer Academic Publishers), The Netherlands, 1972–1987.

    Google Scholar 

  6. IVANOVA, V.S., MASLOV, LJ. and BURBA, V.I., Journal of Theoretical and Applied Fracture Mechanics, Vol. 2, No. 3,1984, pp. 223–227.

    Article  Google Scholar 

  7. GDOUTOS, E.E., Journal of Theoretical and Applied Fracture Mechanics, Vol. 1, No. 2, 1984, pp. 139–144.

    Article  Google Scholar 

  8. CARPINTERI, A. and SIH, G.G., Journal of Theoretical and Applied Fracture Mechanics, Vol. 1, No. 2, 1984, pp. 145–159.

    Article  Google Scholar 

  9. SIH, G.C. and TZOU, D.Y., Modelling Problems in Crack Tip Mechanics, edited by J.T. Pindera, Martinus Nijhoff (Kluwer Academics Publishers), The Netherlands, 1984, pp. 155–169.

    Google Scholar 

  10. SIH, G.C. and CHEN, C., Journal of Theoretical and Applied Fracture Mechanics, Vol. 3, No. 2, 1985, pp. 125–139.

    Article  Google Scholar 

  11. SIH, G.C. and MOYER, E.T., Jr., Journal of Engin. Fract. Mech., Vol. 17, 1983, pp. 269–280.

    Article  Google Scholar 

  12. MOYER, E.T., Jr. and SIH, G.C., Journal of Engin. Fract. Mech., Vol. 19, No. 4, 1984, pp. 643–652.

    Article  Google Scholar 

  13. SIH, G.C. and CHAO, C.K., Journal of Theoretical and Applied Fracture Mechanics, Vol. 1, No. 3, 1984, pp. 239–247.

    Article  Google Scholar 

  14. SIH, G.C. and CHAO, C.K., Journal of Theoretical and Applied Fracture Mechanics, Vol. 2, No. 1, 1984, pp. 67–74.

    Article  Google Scholar 

  15. HILL, R., Mathematical Theory of Plasticity, Oxford University Press, 1950.

    Google Scholar 

  16. PRAGER, W., Introduction to Mechanics of Continua, Dover Press, New York, 1961.

    MATH  Google Scholar 

  17. BRIDGMAN, P.W., Studies in Large Plastic Flow and Fracture with Special Emphasis in the Effects of Hydrostatic Pressure, Mc. Graw-Hill, New York, 1952.

    MATH  Google Scholar 

  18. REUSS, A., Z. Ang. Math. Mech., Vol. 10, 1930, p. 266.

    Article  MATH  Google Scholar 

  19. RICE, J.R. et al, Journal Mech. Phys. Solids, Vol. 16, 1968, pp. 1–12.

    Article  ADS  MATH  Google Scholar 

  20. SIH, G.C. and TZOU, D.Y., Journal of Theoretical and Applied Fracture Mechanics, Vol. 6, No. 2, 1986, pp. 103–111.

    Article  Google Scholar 

  21. SIH, G.C., TZOU, D.Y. and MICHOPOULOS, J.G., Journal of Theoretical and Applied Fracture Mechanics, Vol. 7, No. 2, 1987, pp. 79–87.

    Article  Google Scholar 

  22. TZOU, D.Y. and SIH, G.C., Journal of Theoretical and Applied Fracture Mechanics, Vol. 10, No. 1, 1988.

    Google Scholar 

  23. RICE, J.R., Journal of Appl. Mech., Vol. 35, 1968, pp. 379–386.

    Google Scholar 

  24. SIH, G.C., Prospects Of Fracture Mechanics, edited by G.C. Sih, H.C. van Eist and D. Broek, Noordhoff International Publishing (now Kluwer Academic Publishers), The Netherlands, 1974, pp. 613–621.

    Google Scholar 

  25. SIH, G.C., Fracture Mechanics and Technology, edited by G.C. Sih and C.L. Chow, Sijhoff and Noordhoff (now Kluwer Academic Publishers), The Netherlands, 1977, pp. 967–784.

    Google Scholar 

  26. SIH, G.C., Modelling Problems in Crack Tip Mechanics, edited by J.T. Pindera, Martinus Nijhoff (Kluwer Academic Publishers), 1983, pp. 65–90.

    Google Scholar 

  27. SIH, G.C., Fracture Mechanics Methodology, edited by G.C. Sih and L. Faria, Martinus Nijhoff (Kluwer Academic Publishers), The Netherlands, 1984, pp. 35–101.

    Google Scholar 

  28. SIH, G.C. and Madenci, E., Journal of Engin. Fract. Mech., Vol. 78, 1983, pp. 667–677.

    Article  Google Scholar 

  29. SIH, G.C. and TZOU, D.Y., Journal of Theoretical and Applied Mechanics, Vol. 6, No. 1 1986, pp. 29–37.

    Article  Google Scholar 

  30. SIH, G.C., ASTM Technical Publication STP 605, 1976, pp. 3–15.

    Google Scholar 

  31. SIH, G.C., Journal of Theoretical and Applied Fracture Mechanics, Vol 4, No. 3, 1985, pp. 157–173.

    Article  MathSciNet  Google Scholar 

  32. TZOU, D.Y. and SIH, G.C., Journal of Theoretical and Applied Fracture Mechanics, Vol. 10, No. 1, 1988.

    Google Scholar 

  33. YANG, W.H., Journal of Appl Mech., Vol. 47, 1980, pp. 297–300.

    Article  ADS  MATH  Google Scholar 

  34. GDOUTOS, E.E. and SIH, G.C., Institute of Fracture and Solid Mechanics, Technical Report IFSM–84–128, Lehigh University, 1984.

    Google Scholar 

  35. MOYER, E.T., Jr. and LIEBOWITZ, H., Application of Fracture Mechanics to Materials and Structures, edited by G.C. Sih, E. Sommer and W. Dahl, Martinus Nijhoff (Kluwer Academic Publishers), The Netherlands, 1984, pp. 595–606.

    Google Scholar 

  36. SIH, G.C. and Tzou, D.Y., Dynamic Elastic-Plastic Analysis (DEPA), October, 1986.

    Google Scholar 

  37. SIH, G.C. and TZOU, D.Y., Journal of Theoretical and Applied Fracture Mechanics, Vol. 7, No. 1, 1987, pp. 23–30.

    Article  Google Scholar 

  38. SIH, G.C., LIEU, F.L. and CHAO, C.K., Journal of Theoretical and Applied Fracture Mechanics, Vol. 7, No. 2, 1987, pp. 67–78.

    Article  Google Scholar 

  39. SIH, G.C., Thermal/Mechanical Interaction Associated with the Micromechanisms of Material Behavior, Institute of Fracture and Solid Mechanics Monograph, Lehigh University, February, 1987.

    Google Scholar 

  40. SIH, G.C., Journal of Theoretical and Applied Fracture Mechanics, Vol. 9, No. 3, 1988.

    Google Scholar 

  41. Plane Energy Density Damage Analysis (PEDDA), Institute of Fracture and Solid Mechanics, Lehigh University, U.S. Library of Congress No. 86-82825, October, 1986.

    Google Scholar 

Download references

Authors
  1. G. C. Sih
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Y. Tzou
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Fracture and Solid Mechanics, Lehigh University, Bethlehem, 18015, Pennsylvania, USA

    G. C. Sih

  2. Institute of Mechanics Problems, USSR Academy of Sciences, Moscow, 117526, USSR

    A. J. Ishlinsky

  3. Institute of Solid State Physics, USSR Academy of Sciences, Moscow, 143432, USSR

    S. T. Mileiko

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Kluwer Academic Publishers

About this chapter

Cite this chapter

Sih, G.C., Tzou, D.Y. (1990). Plastic deformation and crack growth behavior. In: Sih, G.C., Ishlinsky, A.J., Mileiko, S.T. (eds) Plasticity and failure behavior of solids. Fatigue and Fracture, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1866-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1866-5_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7332-5

  • Online ISBN: 978-94-009-1866-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation