Skip to main content

Measurements of Near Tip Field Near the Right Angle Intersection of Straight Front Cracks

  • Conference paper
Modelling Problems in Crack Tip Mechanics

Abstract

One of the most difficult and controversial areas of research in analytical fracture mechanics has been the evaluation of the distribution of stress intensification as a crack approaches a free boundary [1,2,3]. In fact, three dimensional analysis suggests the need for the definition of a quantity other than the classical stress intensity factor (SIF) for such cases at the free surface of a body.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. SIH, G.C., “Three Dimensional Stress State in a Crack Plate”, AFFDL TR-70-144, 1970, pp. 175–191.

    Google Scholar 

  2. FOLIAS, E.S., “On the Three Dimensional Theory of Crack Plates”, J. of Applied Mechanics, 1975, pp. 663–674.

    Google Scholar 

  3. BENTHEM, J.P., “The Quarter Infinite Crack in a Half Space: Alternative and Additional Solutions”, Int. J. of Solids and Structures, Vol. 16, 1980, pp. 119–130.

    Article  MATH  Google Scholar 

  4. SMITH, C.W., “Use of Three Dimensional Photoelasticity and Progress in Related Areas”, Experimental Techniques in Fracture Mechanics, 2, SESA Monograph, edited by A.S. Kobayashi, Chapter 1, 1975, pp. 3–58.

    Google Scholar 

  5. SMITH, C.W., “Use of Photoelasticity in Fracture Mechanics”, Experimental Evaluation of Stress Concentration and Intensity Factors — Mechanics of Fracture, edited by G.C. Sih, Chapter 7, Vol. 2, 1981, pp. 163–187.

    Google Scholar 

  6. SMITH, C.W. and PETERS, W.H., “Prediction of Flaw Shapes and Stress Intensity Distributions in 3D Problems by the Frozen Stress Method”, Preprints, Sixth Int. Conf. on Experimental Stress Analysis, Munich, 1978, pp. 861–864.

    Google Scholar 

  7. NICOLETTO, G., POST, D. and SMITH, C.W., “Moire Interferometry for High Sensitivity Measurements in Fracture Mechanics”, Proc. of the Joint SESA-JSME Conf. on Experimental Mechanics, May, 1982, pp. 266–270.

    Google Scholar 

  8. NICOLETTO, G., POST, D. and SMITH, C.W., “Experimental Stress Intensity Distributions in Three Dimensional Cracked Body Problems”, Proc. of Joint SESA-JSME Conf. on Experimental Mechanics, May, 1982, pp. 196–200.

    Google Scholar 

  9. SMITH, C.W., “Use of Photoelasticity in Fracture Mechanics”, Experimental Evaluation of Stress Concentration and Intensity Factors (Mechanics of Fracture 7), edited by G.C. Sih, Chapter 2, Martinus-Nijhoff Publishers, 1981, pp. 163–188.

    Google Scholar 

  10. POST, D., “Optical Interference for Deformation Measurements — Classical, Holographic and Moire Interferometry”, Mechanics of Non-Destructive Testing, edited by W.W. Stinchcomb, Plenum Publishing Co., 1980, pp. 1–53.

    Google Scholar 

  11. SMITH, C.W., “Use of Optical Methods in Stress Analysis of Three Dimensional Cracked Body Problems”, J. of Optical Engineering, Vol. 21, No. 4, 1982, pp. 696–703.

    Google Scholar 

  12. “Standard E399 on Fracture Toughness Testing”, Annual Book of ASTM Standards, Part 10 Metals, 1981, pp. 605–607.

    Google Scholar 

  13. WILLIAMS, M.L., “Stress Singularities Resulting from Various Boundary Conditions in Angular Corners of Plates in Extensions”, J. of Applied Mechanics, Vol. 19, 1952, pp. 526–528.

    Google Scholar 

  14. WILLIAMS, M.L., “On the Stress Distribution at the Base of a Stationary Crack”, J. of Applied Mechanics, Vol. 24, 1957, pp. 109–114.

    MATH  Google Scholar 

  15. SIH, G.C., “A Review of the Three-Dimensional Stress Problem for a Cracked Plate”, International J. of Fracture Mechanics, Vol. 7, 1971, pp. 39–61.

    Google Scholar 

  16. BENTHEM, J.P., “State of Stress at the Vertex of a Quarter-Infinite Crack in a Half Space”, Int. J. Solids and Structures, Vol. 13, 1977, pp. 479–492.

    Article  MATH  Google Scholar 

  17. BAZANT, Z.P., “Three Dimensional Harmonic Functions Near Termination or Intersection of Gradient Singularity Lines; A General Numerical Method”, Int. J. of Engineering Science, Vol. 12, 1974, pp. 221–243.

    Article  MATH  Google Scholar 

  18. EFTIS, J., SUBRAMONIAN, N. and LIEBOWITZ, H., “Crack Border Stress and Displacement Equations Revisited”, J. of Engineering Fracture Mechanics, Vol. 9, 1977, pp. 189–210.

    Article  Google Scholar 

  19. LIU, H.W. and KE, J.S., “Moire Method”, Experimental Techniques in Fracture Mechanics 2, edited by A.S. Kobayashi, Chapter 2 of SESA Monograph No. 2, 1975, pp. 111–165.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Martinus Nijhoff Publishers, Dordrecht

About this paper

Cite this paper

Smith, C.W., Epstein, J.S. (1984). Measurements of Near Tip Field Near the Right Angle Intersection of Straight Front Cracks. In: Pindera, J.T., Krasnowski, B.R. (eds) Modelling Problems in Crack Tip Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6198-2_23

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-6198-2_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6200-2

  • Online ISBN: 978-94-009-6198-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics