Skip to main content
Log in

Stress singularities for crack normal to and terminating at bimaterial interface on orthotropic half-plates

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

Abstract

The problem of a crack normal to and terminating at an interface in two joined orthotropic plates is considered and the eigenequation for the asymptotic behavior of stresses at the crack tip on the interface is given in an explicit form. It is found that the singular stress field around the crack tip can be separated into two independent fields, respectively of the mode I and II. Also it is found that for both the mode I and II deformations the effects of elastic constants on the stress singularity order can be respectively expressed by three material parameters, two of which are the same for both the mode I and mode II deformations.

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

  1. A.R.Zak and M.L.Williams, Crack point stress singularities at a bi-material interface, Journal of Applied Mechanics 30 (1963) 142–143.

    Google Scholar 

  2. D.B.Bogy, On the plane elastostatic problem of a loaded crack terminating at a material interface, Journal of Applied Mechanics 38 (1971) 911–918.

    Google Scholar 

  3. T.S.Cook and F.Erdogan, Stresses in bonded materials with a crack perpendicular to the interface, International Journal of Engineering Science 10 (1972) 677–697.

    Google Scholar 

  4. G.D.Gupta, A layered composite with a broken laminate, International Journal of Solids Structures 9 (1973) 1141–1154.

    Google Scholar 

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

    Google Scholar 

  6. T.C.T.Ting and P.H.Hoang, Singularities at the tip of a crack normal to the interface of anisotropic layered composite, International Journal of Solids Structures 20 (1984) 439–454.

    Google Scholar 

  7. F.Delale and F.Erdogan, Bonded orthotropic strips with cracks, International Journal of Fracture 15 (1979) 343–364.

    Google Scholar 

  8. F. Delale, Fracture of composite orthotropic plates for materials type II, Technical Report NASA Grant NGR 39-007-011 (1976).

  9. V.Gupta, A.S.Argon and Z.Suo, Crack deflection at an interface between two orthotropic media, Journal of Applied Mechanics 59 (1992) S79-S87.

    Google Scholar 

  10. D.H.Chen, H.Nisitani and T.Mura, Effect of elastic constants on stress in multiphases, Engineering Fracture Mechanics 48 (1994) 347–357.

    Google Scholar 

  11. S.G. Lekhnitskii, Anisotropic Plates, Gordon and Breach (1968).

  12. P.S.Theocaris, The order of singularity at a multi-wedge corner of a composite plate, International Journal of Engineering Science 12 (1974) 107–120.

    Google Scholar 

  13. D.H.Chen, Stress fields for a crack normal to and terminating at a bimaterial interface of isotropic and anisotropic half-planes, Transactions of Japan Society of Mechanical Engineers 61 (1995) 52–58.

    Google Scholar 

  14. J.Dundurs, Effect of elastic constants on stress in a composite under plane deformation, Journal of Composite Materials 1 (1967) 310–322.

    Google Scholar 

  15. D.B.Bogy, Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading, Journal of Applied Mechanics 35 (1968) 460–466.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, DH., Harada, K. Stress singularities for crack normal to and terminating at bimaterial interface on orthotropic half-plates. Int J Fract 81, 147–162 (1996). https://doi.org/10.1007/BF00033179

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00033179

Keywords

Navigation