Advertisement

The C-Integral

A Path Independent Integral for Computing Singularity Participation at a Butt Joint
  • M. Okajima
  • G. B. Sinclair
Conference paper

Summary

In order to have a reasonable basis for ranking adhesive strengths in tensile tests, it is necessary to gauge the stress variations on the interface. In particular, the stress intensity there must be evaluated. This paper develops a path independent integral - the C-integral - to this end. The computational efficiency of the C-integral is demonstrated on a number of trial problems. These indicate that resolution is good, certainly sufficient to calculate stress intensities in actual engineering applications.

Keywords

Stress Intensity Stress Intensity Factor Butt Joint Superposition Method Generalize Stress Intensity Factor 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    1982 Annual Book of ASTM Standards, Part 22. Philadelphia: ASTM 1982.Google Scholar
  2. 2.
    Okajima, M.: Analysis of tensile testing configurations for assessing the strength of butt joints. Ph.D. Dissertation, Carnegie-Mellon University, 1985.Google Scholar
  3. 3.
    Sinclair, G.B.: Some inherently unreliable practices in present day fracture mechanics. Int. J. Fracture 28 (1985) 3–16.Google Scholar
  4. 4.
    Eshelby, J.D.: Force on an elastic singularity. Phil. Trans. R. Soc. A244 (1951) 87–112.MathSciNetADSGoogle Scholar
  5. 5.
    Stern, M.; Soni, M.L.: On the computation of stress intensities at fixed-free corners. Int. J. Solids Structs 12 (1976) 331–337.MATHCrossRefGoogle Scholar
  6. 6.
    Sinclair, G.B.; Okajima, M.; Griffin, J.H.: Path independent integrals for computing stress intensity factors. Int. J. num. Meth. Engng 20 (1984) 999–1008.MATHCrossRefGoogle Scholar
  7. 7.
    Bogy, D.B.: Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions. J. appl. Mech. 38 (1971) 377–386.CrossRefGoogle Scholar
  8. 8.
    Sinclair, G.B.; Mullan, D.: A simple yet accurate finite element procedure for computing stress intensity factors. Int. J. num. Meth. Engng 18 (1982) 1587–1600.MATHCrossRefGoogle Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • M. Okajima
    • 1
  • G. B. Sinclair
    • 1
  1. 1.Department of Mechanical EngineeringCarnegie-Mellon UniversityPittsburghUSA

Personalised recommendations