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Elastic Green’s function for a composite solid containing a crack at an angle to the interface

  • Vinod K. Tewary
  • John R. Berger
Conference paper

Abstract

We describe the virtual force method of calculating the elastic Green’s function for a bimaterial composite solid containing a planar interface and a semi-infinite crack inclined at an arbitrary angle to the interface. The crack tip is assumed to be at the interface and extends to infinity. The calculated Green’s function satisfies the condition of the continuity of tractions and displacements across the interface and the zero traction boundary condition at the surfaces of the crack.

Keywords

Stress Field Displacement Field Boundary Element Method Interfacial Crack Planar Interface 
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References

  1. [1]
    J.R. Rice and G.C. Sin, Plane Problems of Cracks in Dissimilar Media, J. Appl. Mech. 32, 418 (1965).CrossRefGoogle Scholar
  2. [2]
    T.C.T. Ting and P.H. Hoang, Singularities at the Tip of a Crack Normal to the Interface of an Anisotropic Layered Composite, 20, 439 (1984).MATHGoogle Scholar
  3. [3]
    V.K. Tewary, R.H. Wagoner, and J. P. Hirth, Elastic Green’s Function for a Composite Solid with a Planar Crack in the Interface, J. Materials Res., 4., 124 (1989).CrossRefGoogle Scholar
  4. [4]
    V.K. Tewary, Green’s Function for Generalized Hilbert Problem for Cracks and Free Surfaces in Composite Materials, J. Materials Res. 6, 2585 (1991).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Vinod K. Tewary
    • 1
  • John R. Berger
    • 2
  1. 1.National Institute of Standards and TechnologyBoulderUSA
  2. 2.Colorado School of MinesGoldenUSA

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