Skip to main content
SpringerLink
Log in

Stress singularities at a joint formed by dissimilar elastic-plastic materials under mechanical loading

  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

A joint formed by quarter planes in which each behaves as a power law hardening material is considered in this paper. J 2-deformation plasticity theory is assumed. The first term in an asymptotic expansion of the stress function, separable into ϒ and Θ, is compared to the results obtained by the finite element method. Empirical relations, based on a least squares method, are given for the stress exponent λ and the angular functions. The unknown stress intensity factor for the first term is determined with the finite element method, and the relation to the material data and the loading is discussed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D.B.Bogy, ASME Journal of Applied Mechanics 38 (1971) 377–386.

    Google Scholar 

  2. J.P.Dempsey and G.B.Sinclair, Journal of Elasticity 11 (1981) 317–327.

    Google Scholar 

  3. D.Munz and Y.Y.Yang, ASME Journal of Applied Mechanics 59 (1992) 857–861.

    Google Scholar 

  4. J.W.Hutchinson, Journal of the Mechanics and Physics of Solids 16 (1968) 13–31.

    Google Scholar 

  5. J.R.Rice and G.F.Rosengren, Journal of the Mechanics and Physics of Solids 16 (1968) 1–12.

    Google Scholar 

  6. S.M.Sharma and N.Aravas, Journal of the Mechanics and Physics of Solids 39 (1991) 1043–1072.

    Google Scholar 

  7. S.Yang, Y.J.Chao and M.A.Sutton, Acta Mechanica 98 (1993) 79–98.

    Google Scholar 

  8. S.Yang, Y.J.Chao and M.A.Sutton, Engineering Fracture Mechanics 45 (1993) 1–20.

    Google Scholar 

  9. J.M.Duva, ASME Journal of Applied Mechanics 55 (1988) 361–364.

    Google Scholar 

  10. J.M.Duva, ASME Journal of Applied Mechanics 56 (1989) 977–979.

    Google Scholar 

  11. E.D.Reedy, ASME Journal of Applied Mechanics 60 (1993) 715–720.

    Google Scholar 

  12. C.W.Lau and E.Delale, Journal of Engineering Materials and Technology 110 (1988) 41–47.

    Google Scholar 

  13. M.R.H.Rudge, International Journal of Fracture 63 (1993) 21–26.

    Google Scholar 

  14. D.Munz and Y.Y.Yang, Journal of the European Ceramic Society 13 (1994) 453–460.

    Google Scholar 

  15. M.Tilscher, D.Munz and Y.Y.Yang, Journal of Adhesion 49 (1995) 1–21.

    Google Scholar 

  16. S.M.Roberts and J.S.Shipman, Two-point Boundary Value Problems: Shooting Methods, American Elsevier, New York (1972).

    Google Scholar 

  17. IMSL (International Mathematical Subroutine Libraies) Version 2.0.

  18. Hibbit, Karlsson, Sorenson, Abaqus User's Manual, Hibbit, Karlsson, Sorenson Inc., Providence, R.I. (U.S.A.) (1985).

  19. CERN Program Library Office, MINUIT Function Minimization and Error Analysis, Reference Manual, CERN Geneva, Switzerland (1992).

    Google Scholar 

  20. V. Kumar, M.D. German and C.F. Shih, General Electric Company, Topical Report (1981) NP-1931, Research Project 1237-1.

Download references

Author information

Authors and Affiliations

  1. Institute for Reliabilty and Failure Analysis, Karlsruhe University, P.O.Box 3640, D-76021, Karlsruhe, Germany

    M. A. Sckuhr, A. Brueckner-foit, D. Munz & Y. Y. Yang

Authors
  1. M. A. Sckuhr
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Brueckner-foit
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Munz
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Y. Y. Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sckuhr, M.A., Brueckner-foit, A., Munz, D. et al. Stress singularities at a joint formed by dissimilar elastic-plastic materials under mechanical loading. Int J Fract 77, 263–279 (1996). https://doi.org/10.1007/BF00018781

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00018781

Keywords

Search

Navigation