Skip to main content

Linear Elastic Stress Analysis of 2D Cracks

  • Chapter
Fracture Mechanics

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 62))

Abstract

To begin to understand fracture of materials, one must first know the stress and deformation fields near the tips of cracks. Thus the first topic in fracture mechanics is the linear elastic analysis of crack tip fields. The solutions derived here will be seen to violate the assumptions upon which linear elasticity theory is grounded. Nonetheless by invoking common sense principles, the theory of linear elastic fracture mechanics (LEFM) will be shown to provide the groundwork for many practical applications of fracture.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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

References

  1. C.Y. Hui, A. Ruina, Int. J. Fract. 72, 97 (1995)

    Google Scholar 

  2. J.W. Brown, R.V. Churchill, Complex Variables and Applications (McGraw-Hill, New York, 2004)

    Google Scholar 

  3. M. Williams, J. Appl. Mech. 24, 109 (1957)

    MathSciNet  MATH  Google Scholar 

  4. S.P. Timoshenko, J.N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1969)

    Google Scholar 

  5. E.G. Coker, L.N.G. Filon, A Treatise on Photoelasticity (Cambridge University Press, Cambridge, 1931)

    MATH  Google Scholar 

  6. K. Hellan, Introduction to Fracture Mechanics (McGraw-Hill, New York, 1984)

    Google Scholar 

  7. H.M. Westergaard, J. Appl. Mech. 61, A49 (1939)

    Google Scholar 

  8. L.I. Sedov, A Course in Continuum Mechanics, vol. 4 (Wolters-Noordhoff, Groningen, 1972)

    Google Scholar 

  9. I.D. Parsons, J.F. Hall, Eng. Fract. Mech. 33, 45 (1989)

    Article  Google Scholar 

  10. H. Tada, P.C. Paris, G.R. Irwin, The Stress Analysis of Cracks Handbook (ASME Press, New York, 2000)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alan T. Zehnder .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Zehnder, A.T. (2012). Linear Elastic Stress Analysis of 2D Cracks. In: Fracture Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2595-9_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-2595-9_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-2594-2

  • Online ISBN: 978-94-007-2595-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics