Skip to main content
Log in

A Conservative Integral for Determining Stress Intensity Factors of a Bimaterial Strip

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

Abstract

Both conservative line and area integrals are derived from the Betti reciprocal principle to determine the stress intensity factor for a bimaterial strip. Numerical results are presented to demonstrate the accuracy of the methods. Several mesh types have been exploited to examine the effect of meshing on the results. Stress intensity factors obtained by means of the line integral vary somewhat between paths. Those found by means of the area integral have the same value on different paths.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Banks-Sills, L., Yang, Y.Y. and Munz, D. An influence function for stress intensity factors of bimaterial notched bodies, accepted for publication: International Journal of Fracture 85, 333–350.

  • Banks-Sills, L. and Sherman, D. (1992). On the computation of stress intensity factors for three-dimensional geometries by means of the stiffness derivative and J-integral methods. International Journal of Fracture 53, 1–20.

    Google Scholar 

  • Bathe, K.J. (1995). ADINA-Automatic Dynamic Incremental Nonlinear Analysis, Version 6.1, Adina Engineering Inc., Watertown, Massachusetts.

    Google Scholar 

  • Bogy, D.B. (1971). Two edge-bonded elastic wedges of different materials and wedge angles under surface tractions. Journal of Applied Mechanics 38, 377–386.

    Google Scholar 

  • Carpenter, W.C. (1984a). Calculation of fracture mechanics parameters for a general corner. International Journal of Fracture 24, 45–58.

    Article  Google Scholar 

  • Carpenter, W.C. (1984b). Mode I and II stress intensities for plates with cracks of finite opening. International Journal of Fracture 26, 201–214.

    Article  Google Scholar 

  • Carpenter, W.C. (1985). The eigenvector solution for a general corner of finite opening crack with further studies on the collocation procedure. International Journal of Fracture 27, 63–74.

    Article  Google Scholar 

  • Carpenter, W.C. (1995). Insensitivity of the reciprocal work contour integral method to higher order eigenvectors. International Journal of Fracture 73, 93–108.

    Article  Google Scholar 

  • Carpenter, W.C. and Byers, C. (1987). A path independent integral for computing stress intensities for v-notched cracks in a bi-material. International Journal of Fracture 35, 245–268.

    Article  Google Scholar 

  • Dundurs, J. (1969). Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. Journal of Applied Mechanics 36, 650–652.

    Google Scholar 

  • Fett, T. Personal communication.

  • Li, F.Z., Shih, C.F. and Needleman, A. (1985). A comparison of methods for calculating energy release rates. Engineering Fracture Mechanics 21, 405–421.

    Article  Google Scholar 

  • Munz, D. and Yang, Y.Y. (1992). Stress singularities at the interface in bonded dissimilar materials under mechanical and thermal loading. Journal of Applied Mechanics 59, 857–861.

    ADS  Google Scholar 

  • Sinclair, G.B., Okajima, M. and Griffin, J.H. (1984). Path independent integrals for computing stress intensity factors at sharp notches in elastic plates. International Journal for Numerical Methods in Engineering 20, 999–1008.

    Article  MATH  Google Scholar 

  • Sinclair, G.B. (1985). A remark on the determination of mode I and mode II stress intensity factors for sharp re-entrant corners. International Journal of Fracture 27, R81–R85.

    Article  Google Scholar 

  • Yang, Y.Y. Personal communication.

  • Yang, Y.Y. (1992). Spannungssingularitäten in Zweistoffverbunden bei mechanischer and thermischer Belastung, Ph.D. thesis, University of Karlsruhe, Karlsruhe.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Banks-Sills, L. A Conservative Integral for Determining Stress Intensity Factors of a Bimaterial Strip. International Journal of Fracture 86, 385–398 (1997). https://doi.org/10.1023/A:1007426001582

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007426001582

Navigation