Skip to main content

Boundary element methods for singularity problems in fracture mechanics

  • 383 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1121)

Keywords

  • Stress Intensity Factor
  • Boundary Element Method
  • Boundary Integral Equation
  • Circular Hole
  • Isoparametric Element

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M A Kelmanson, Modified Integral Solution of Viscous Flows Near Sharp Corners. Computer and Fluids (1983) (in press).

    Google Scholar 

  2. M A Kelmanson, An Integral Equation Method for the Solution of Singular Slow Flow Problems. J. Comp. Phys. 51 (1983) (in press).

    Google Scholar 

  3. J C Mason and R N L Smith, Boundary Integral Equation Methods for a Variety of Curved Crack Problems. In: “Integral Equations and Their Numerical Treatment”, C T H Baker and G F Miller (Ed), Academic Press, London 1982, pp 239–252

    Google Scholar 

  4. W L Wendland, Boundary Element Methods and Their Asymptotic Convergence. In: “Theoretical Acoustics and Numerical Techniques” P Filippi (Ed), Lecture Notes in Physics, Springer-Verlag, Berlin, 1983 (in press).

    Google Scholar 

  5. G E Blandford, A R Ingraffen, and J A Liggett, “Two-Dimensional Stress Intensity Factor Computations Using the Boundary Element Method”. Int. J. Num. Meth. Engg. 17 (1981), 387–404.

    CrossRef  MATH  Google Scholar 

  6. A J Fawkes, D R J Owen and A R Luxmoore, An Assessment of Crack-Tip Singularity Models for Use With Isoparametric Elements. Engg. Frac. Mech. 11 (1979), 143–159.

    CrossRef  Google Scholar 

  7. A R Johnson, On the Accuracy of Polynomial Finite Elements for Crack Problems. Int. J. Num. Meth. Engg. 17 (1981), 1835–1842.

    CrossRef  MATH  Google Scholar 

  8. I Fried and S K Yang, Best Finite Elements Distribution Around a Singularity. AIAA Journal. 10 (1972), 1244–1246.

    CrossRef  Google Scholar 

  9. R N L Smith and J C Mason, Prediction of Crack Growth Direction Using the Boundary Element Method. In: “Boundary Elements” (Proc. 5th Int Conf.) C A Brebbia, T Futagami, and M Taneka (Ed), Springer-Verlag, Berlin, 1983, pp 495–503.

    Google Scholar 

  10. L S Xanthis, M J M Bernal, and C Atkinson, The Treatment of Singularities in the Calculation of Stress Intensity Factors Using the Boundary Integral Equation Method. Comp. Meth. Appl. Mech. Engg. (to appear).

    Google Scholar 

  11. S Gomez Lera, E Paris and E Alarcon, Treatment of Singularities in 2-D Domains Using BIEM. Appl. Math. Modelling 6 (1982), 111–118.

    CrossRef  MATH  Google Scholar 

  12. J E Akin, The Generation of Elements With Singularities. Int. J. Num. Meth. Engg. 10 (1976), 1249–1259.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. M Okabe, Fundamental Theory of the Semi-Radial Singularity Mapping With Applications to Fracture Mechanics. Comp. Meth. Appl. Mech. Engg. 26 (1981), 53–73.

    CrossRef  MATH  Google Scholar 

  14. R D Henshell and K G Shaw, Crack-Tip Finite Elements are Unnecessary. Int. J. Num. Meth. Engg. 9 (1975), 495–507.

    CrossRef  MATH  Google Scholar 

  15. J C Mason, Isoparametric Curved Boundary Element Nodes for r1/2-Type Singularities. In preparation, 1984.

    Google Scholar 

  16. R M Thompson, The Application of the Boundary Integral Equation Method to Some Potential and Elasticity Problems. Tech. Note M/S 13, Materials and Structures Branch, RMCS Shrivenham, April 1983.

    Google Scholar 

  17. J C Mason, R N L Smith, and R M Thompson, Stress Intensity Factor Evaluation by Boundary Element Methods for Cracks at Holes. Proceedings, 3rd International Conference on Numerical Methods in Fracture Mechanics, Swansea 1984. (To appear).

    Google Scholar 

  18. N I Muskhelishvili “Some Basic Problems of Mathematical Theory of Elasticity”, Noordhof, Groningen (Holland), 1953.

    MATH  Google Scholar 

  19. R N L Smith, Stress Intensity Factors for an Arc Crack in a Rotating Disc. Engg. Frac. Mech. (1983), (submitted for publication).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Mason, J.C., Parker, A.P., Smith, R.N.L., Thompson, R.M. (1985). Boundary element methods for singularity problems in fracture mechanics. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076271

Download citation

  • DOI: https://doi.org/10.1007/BFb0076271

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15219-4

  • Online ISBN: 978-3-540-39377-1

  • eBook Packages: Springer Book Archive