Skip to main content
SpringerLink
Log in

A complex variable boundary element method for solving interface crack problems

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

Abstract

The problem of finite bimaterial plates with an edge crack along the interface is studied. A complex variable boundary element method is presented and applied to determine the stress intensity factor for finite bimaterial plates. Using the pseudo-orthogonal characteristic of the eigenfunction expansion forms and the well-known Bueckner work conjugate integral and taking the different complex potentials as auxiliary fields, the interfacial stress intensity factors associated with the physical stress-displacement fields are evaluated. The effects of material properties and crack geometry on stress intensity factors are investigated. The numerical examples for three typical specimens with six different combinations of the bimaterial are given.

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

  • Chen, Y.Z. (1983). An investigation of the stress intensity factor for a finite internally cracked plane by using the variational method. Engineering Fracture Mechanics 17, 387–394.

    Article  ADS  Google Scholar 

  • Chen, Y.Z. and Hasebe, N. (1994). Eigenfunction expansion and higher order weight functions of interface cracks. Journal of Applied Mechanics 61, 843–849.

    MATH  Google Scholar 

  • Hutchinson, J.W., Mear, M.E. and Rice, J.R. (1987). Crack paralleling an interface between dissimilar materials. Journal of Applied Mechanics 54, 828–832.

    Google Scholar 

  • Lee, K.Y. and Choi, H.J. (1988). Boundary element analysis of stress intensity factors for bimaterial interface cracks. Engineering Fracture Mechanics 29, 461–472.

    Article  Google Scholar 

  • Murakami, Y., (ed) (1989). Stress Intensity Factors Handbook, Pergamon Press, New York.

    Google Scholar 

  • Rice, J.R. (1988). Elastic fracture mechanics concepts for interface cracks. Journal of Applied Mechanics 55, 98–103.

    Article  Google Scholar 

  • Sih, G.C. and Rice, J.R. (1964). The bending of plates of dissimilar materials with cracks. Journal of Applied Mechanics 31, 477–482.

    Google Scholar 

  • Williams, M.L. (1959). The stresses around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 49, 199–204.

    MathSciNet  Google Scholar 

  • Woo, C.W. and Wang, Y.H. (1992). Analysis of an edge crack in a finite bimaterial plane. Engineering Fracture Mechanics 42, 289–297.

    Article  ADS  Google Scholar 

  • Yau, J.F. and Wang, S.S. (1984). An analysis of interface cracks between dissimilar isotropic materials using conservation integrals in elasticity. Engineering Fracture Mechanics 20, 423–432.

    Article  Google Scholar 

  • Yuuki, R. and Choi, S.B. (1989). Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials. Engineering Fracture Mehcanics 34, 178–188.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Xi'an University of Technology, 710048, Xi'an, Shaanxi Province, People's Republic of China

    Shi Jun Ping & Liu Xie Hui

  2. School of Civil Engineering and Mechanics, Xi'an Jiao Tong University, 710049, Xi'an, Shaanxi Province, People's Republic of China

    Chen Yi Heng

Authors
  1. Shi Jun Ping
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liu Xie Hui
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chen Yi Heng
    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

Ping, S.J., Hui, L.X. & Heng, C.Y. A complex variable boundary element method for solving interface crack problems. International Journal of Fracture 96, 167–178 (1999). https://doi.org/10.1023/A:1018684831763

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018684831763

Search

Navigation