Skip to main content
SpringerLink
Log in

The Time-Averaged Elastodynamic J-Integral

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

Abstract

The time-averaged path independent J-integral for a stationary crack subjected to time-harmonic elastic waves is introduced. It can be determined from remote fields providing an alternative approach to compute the stress intensity factors. The J-integral is evaluated for a semi-infinite crack impinged by a plane sheer wave at an oblique angle.

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. K. Kishirnoto, S. Aoki and M. Sakata. (1980). Dynamic stress intensity factors using J-integral and finite elements method. Engineering Fracture Mechanics 13, 387-394.

    Google Scholar 

  2. T. Nishioka and S.N. AtIuri. (1983), Path-independent integrals, energy release rates and general solutions at near-tip fields in mixed-mode dynamic fracture mechanics. Engineering Fracture Mechanics 18, 1-22.

    Google Scholar 

  3. B. Moran and C.F. Shi. (1987). Crack tip and associated domain integrals from momentum and energy balance. Engineering Fracture Mechanics 27, 615-642

    Google Scholar 

  4. J.D. Eshelby. (1970). Energy relations and the energy momentum tensor in continuum mechanics, Inelastic Behavior of Solids, M.F. K anninen et al.(eds), McGraw-Hill, New York, 77-114

    Google Scholar 

  5. G.A. Maugin. (1994). On the J-integral and energy release rates in dynarnic fracture, Acta Mecanica 105, 33-47

    Google Scholar 

  6. B. Gommerstadt. (1999). Steady configurational force on inhomogeneities interacting with elastic waves, ASME Mechanics & Materials Conference (Edited by R.C. Batra and E.G. Henneke), Blacksburg, VA, 63-64.

    Google Scholar 

  7. M. Born and E. Wolf. (1964). Principles of Optics, Pergamon Press, New York.

    Google Scholar 

  8. B.Gommerstadt. The time averaged forces on a finite crack in elastic wave, to appear in Appi, Anal.

  9. E.P. Chen and G.C. Sih. (1977). Scattering waves about stationary and moving cracks, Elastodynamic Crack Problems, G.C. Sih (ed.), Noordhoff 1-58.

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical, Industrial, and Manufacturing Engineering, Northeastern University, Boston, MA, 02115-5000

    B. Gommerstadt

Authors
  1. B. Gommerstadt
    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

Gommerstadt, B. The Time-Averaged Elastodynamic J-Integral. International Journal of Fracture 101, 15–20 (2000). https://doi.org/10.1023/A:1007680927590

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007680927590

Keywords

Search

Navigation