Skip to main content
SpringerLink
Log in

A crack emanating from the tip of bonded dissimilar materials

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A crack is assumed to emanate from the tip of bonded dissimilar materials with the crack on the bisector of one of the bonded wedges. The problem is firstly divided into symmetric and anti-symmetric modes according to the characteristics of the local geometry. By eigenexpansion method, the eigenequations for the two modes are derived, respectively, and the corresponding eigenvalues are obtained with different ratios of dissimilar material constants and angles of the wedges. The singularity of the crack is then analyzed by the eigenvalues that are less than one. The fields of displacement and stress in the vicinity of the tip of the crack are finally derived in an explicit form.

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 and K. C. Wang, Stress singularities at interface corners in bonded dissimilar isotropic elastic materials,Int. J. Solids Structures,7, (1971), 993–1005.

    Article  MATH  Google Scholar 

  2. W. C. Carpenter and C. Byers, A path independent integral for computing stress intensities for V-notched cracks in a bi-material,Int. J. Fract.,35 (1987), 245–268.

    Article  Google Scholar 

  3. D. H. Chen and H. Nisitani, Singular stress field near the corner of jointed dissimilar materials,Journal of Applied Mechanics,60 (1993), 607–613.

    MATH  Google Scholar 

  4. D. H. Chen, A crack normal to and terminating at a bimaterial interface,Engineering Fracture Mechanics,49, (1994), 517–532.

    Article  Google Scholar 

  5. D. H. Chen, Analysis of singular field around the inclined corner tip,Engineering Fracture Mechanics,49, 4 (1995), 533–546.

    Google Scholar 

  6. J. P. Dempsey and G. B. Sinclair, On the stress singularities in the plane elasticity of the composite wedge,J. Elasticity,9 (1979), 373–391.

    Article  MATH  MathSciNet  Google Scholar 

  7. D. N. Fenner, Stress singularities in composite materials with an arbitrarily oriented crack meeting an interface,Int. J. Fracture,12 (1976), 705–721.

    Google Scholar 

  8. N. I. Muskhelishvili,Some Basic Problems of Mathematical Theory of Elasticity, 4th Ed., Noordhoff, The Netherlands (1963).

    MATH  Google Scholar 

  9. W. C. Wang and J. T. Chen, Singularities of an arbitrarily inclined semi-infinite crack meeting a bimaterial interface,Engineering Fracture Mechanics,49, 5 (1994), 671–680.

    Article  Google Scholar 

  10. M. L. Wiliams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension,Journal of Applied Mechanics,19 (1952), 526–528.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Nanjing University of Science and Technology, 210000, Nanjing, P. R. China

    Qian Jun

  2. Nagoya Institute of Technology, Japan

    Norio Hasebe

Authors
  1. Qian Jun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Norio Hasebe
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chien Weizang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jun, Q., Hasebe, N. A crack emanating from the tip of bonded dissimilar materials. Appl Math Mech 19, 463–478 (1998). https://doi.org/10.1007/BF02457789

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02457789

Key words

Search

Navigation