Skip to main content

Part of the book series: Mechanics of fracture ((MEFA,volume 1))

Abstract

Among the earliest papers leading to a revival of interest in crack problems in the classical theory of elasticity were those in which the solution of the relevant boundary value problem was obtained by a systematic use of the theory of integral transforms. In this connection reference can be made to [1], [2]. Interest in this form of solution has been maintained over the years and the present chapter is an attempt to present the essentials of this method.

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

Access this chapter

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. Sneddon, I. N., Proc. Roy. Soc. London, A187, p. 229 (1946).

    Google Scholar 

  2. Sneddon, I. N. and Elliott, H. A., Quart. Appl. Math., 4, p. 262 (1946).

    Google Scholar 

  3. Lowengrub, M., Proc. Edinburgh Math. Soc., 15, p. 131 (1966).

    Article  MATH  Google Scholar 

  4. Sneddon, I. N., Proc. Cambridge Philos. Soc., 61, p. 609 (1965).

    Google Scholar 

  5. Lowengrub, M., Int. J. Engng. Sci., 4, p. 289 (1966).

    Article  MathSciNet  Google Scholar 

  6. England, A. H. and Green, A. H., Proc. Cambridge Philos. Soc., 59, p. 489 (1963).

    Google Scholar 

  7. Sneddon, I. N. and Srivastav, R. P., Int. J. Engng. Sci., 9, p. 479 (1971).

    Article  MATH  Google Scholar 

  8. Lowengrub, M. and Srivastava, K. N., Int. J. Engng. Sci., 6, p. 359 (1968).

    Google Scholar 

  9. Lowengrub, M. and Srivastava, K. N., Int. J. Engng. Sci., 6, p. 425 (1968).

    Google Scholar 

  10. Ling, C. B., MTAC,11–12, p. 160 (1957–8).

    Google Scholar 

  11. Sneddon, I. N. and Srivastav, R. P., Proc. Roy. Soc. Edinburgh, A67, p. 39 (1965).

    Google Scholar 

  12. Parihar, K. S., Proc. Roy. Soc. Edinburgh, A69 (1971).

    Google Scholar 

  13. Sneddon, I. N. and Das, S. C., Int. J. Engng. Sci., 9, p. 25 (1971).

    Google Scholar 

  14. Khrapkov, A. A., Int. J. Fracture Mech., 7, p. 373 (1971).

    Google Scholar 

  15. Lowengrub, M., Int. J. Engng. Sci., 4, p. 69 (1966).

    Article  MathSciNet  MATH  Google Scholar 

  16. Westmann, R. A., J. Math. Phys., 43, p. 191 (1964).

    Google Scholar 

  17. Srivastav, R. P. and Narain, R., Proc. Cambridge Phil. Soc., 61, p. 945 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  18. Rooke, D. P. and Sneddon, I. N., Int. J. Engng. Sci., 7, p. 1079 (1969).

    Google Scholar 

  19. Sneddon, I. N. and Das, S. C., Trends in Elasticity and Thermoelasticity: Witold Nowacki Anniversary Volume, pp. 235–247. Wolters—Noordhoff Publ. Co. (1971).

    Google Scholar 

  20. Sneddon, I. N. and Olesiak, Z., Arch. Rat. Mech. and Anal., 4, p. 238 (1960).

    MathSciNet  MATH  Google Scholar 

  21. Barenblatt, G. I., Prikh. Math. i Mekh., 23, p. 434 (1959).

    Google Scholar 

  22. Olesiak, Z. and Wnuk, M., Bull. de l’Acad. Polon. des Sci. (Ser. des Sci. Tech.), 13, p. 445 (1965).

    Google Scholar 

  23. Sneddon, I. N. and Tait, R. J., Intl. J. Engng. Sci., 1, p. 391 (1963).

    Article  MathSciNet  Google Scholar 

  24. Sneddon, I. N. and Welch, J. T., Intl. J. Engng. Sci., 1, p. 411 (1963).

    Google Scholar 

  25. Sneddon, I. N. and Lowengrub, M., Crack Problems in the Classical Theory of Elasticity, (John Wiley and Sons, Inc., New York, 1969 ).

    Google Scholar 

  26. Lowengrub, M., Quart. J. Appl. Math., 19, p. 119 (1961).

    MathSciNet  Google Scholar 

  27. Collins, W. D., Proc. Edinburgh Math. Soc., (2), 13, p. 317 (1962).

    Google Scholar 

  28. Uflyand, Ya. S., Prikh. Math. i Mekh., 23, p. 101 (1959).

    Google Scholar 

  29. Lowengrub, M. and Sneddon, I. N., Int. J. Engng. Sci., 3, p. 451 (1965).

    Google Scholar 

  30. Muki, R., Progress in Solid Mechanics, 1, p. 320 (1960).

    Google Scholar 

  31. Sneddon, I. N. and Tweed, J., Int. Jnl. Fracture Mech., 3, p. 317 (1967).

    Google Scholar 

  32. Sneddon, I. N. and Tweed, J., Proc. Roy. Soc. Edinburgh, A69, p. 85 (1971).

    MathSciNet  MATH  Google Scholar 

  33. Sneddon, I. N. and Tweed, J., Int. Jnl. Fracture Mech., 3, p. 291 (1967).

    Google Scholar 

  34. Westmann, R. A., J. Appl. Mech., 32, (1965).

    Google Scholar 

  35. Keer, L. M., J. Mech. Phys. Solids, 14, p. 2 (1966).

    Google Scholar 

  36. Keer, L. M. and Fu, W. S., Int. J. Engng. Sci., 7, p. 361 (1969).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Sneddon, I.N. (1973). Integral transform methods. In: Sih, G.C. (eds) Methods of analysis and solutions of crack problems. Mechanics of fracture, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2260-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-2260-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-8246-6

  • Online ISBN: 978-94-017-2260-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics