Skip to main content
Log in

A numerical Green's function for multiple cracks in anisotropic bodies

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Abstract

The numerical construction of a Green's function for multiple interacting planar cracks in an anisotropic elastic space is considered. The numerical Green's function can be used to obtain a special boundary-integral method for an important class of two-dimensional elastostatic problems involving planar cracks in an anisotropic body.

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. M.D. Snyder and T.A. Cruse, Boundary integral analysis of cracked anisotropic plates. Int. J. Fracture 11 (1975) 315–328.

    Article  Google Scholar 

  2. D.L. Clements and M.D. Haselgrove, A boundary-integral equation method for a class of crack problems in anisotropic elasticity. Int. J. Comp. Math. 12 (1983) 267–278.

    Google Scholar 

  3. W.T. Ang and D.L. Clements, A boundary-integral equation method for the solution of a class of crack problems. J. Elasticity 17 (1987) 9–21.

    Article  Google Scholar 

  4. W.T. Ang, A boundary-integral solution for the problem of multiple interacting cracks in an elastic material. Int. J. Fracture 31 (1986) 259–270.

    Google Scholar 

  5. W.T. Ang, A boundary-integral equation for deformations of an elastic body with an arc crack. Q. Appl. Math. 45 (1987) 131–139.

    Google Scholar 

  6. J.C.F. Telles, G.S. Castor and S. Guimarães, A numerical Green's function approach for boundary elements applied to fracture mechanics. Int. J. Num. Meth. Engng. 38 (1995) 3259–3274.

    Article  Google Scholar 

  7. L.P.S. Barra and J.C.F. Telles, A hypersingular numerical Green's function generation for BEM applied to dynamic SIF problems. Engng. Anal. Bound. Elem. 23 (1999) 77-87.

    Google Scholar 

  8. G.S. Castor and J.C.F. Telles, The 3-D BEM implementation of a numerical Green's function for fracture mechanics applications. Int. J. Num. Meth. Engng. 48 (2000) 1191–1214.

    Article  Google Scholar 

  9. J.C.F. Telles and S. Guimarães, Green's function: a numerical generation for fracture mechanics problems via boundary elements. Comp. Meth. Appl. Mech. Engng. 188 (2000) 847–858.

    Article  Google Scholar 

  10. S. Guimarães and J.C.F. Telles, General application of numerical Green's functions for SIF computations with boundary elements. Comp. Model. Engng. Sci. 1 (2000) 131–139.

    Google Scholar 

  11. A.N. Stroh, Dislocations and cracks in anisotropic elasticity. Phil. Mag. 3 (1958) 625–646.

    Google Scholar 

  12. W.T. Ang and Y.S. Park, Hypersingular integral equations for arbitrarily located planar cracks in an anisotropic elastic bimaterial. Engng. Anal. Bound. Elem. 20 (1997) 135–143.

    Article  Google Scholar 

  13. A.C. Kaya and F. Erdogan, On the solution of integral equations with strongly singular kernels. Q. Appl. Math. 45 (1987) 105–122.

    Google Scholar 

  14. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions. New York: Dover (1971) 1046 pp.

    Google Scholar 

  15. W.T. Ang and G.P. Noone, Coplanar cracks in a finite rectangular anisotropic elastic slab under antiplane shear stresses: a hypersingular integral formulation. Engng. Fract. Mech. 45 (1993) 431–437.

    Article  Google Scholar 

  16. Y.Z. Chen, A numerical solution technique of hypersingular integral equation for curved cracks. Comm. Num. Meth. Engng. 19 (2003) 645–655.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ang, W., Telles, J. A numerical Green's function for multiple cracks in anisotropic bodies. Journal of Engineering Mathematics 49, 197–207 (2004). https://doi.org/10.1023/B:ENGI.0000031186.96431.fe

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:ENGI.0000031186.96431.fe

Navigation