The plane interaction problem for a circular elastic inclusion imbedded into an elastic matrix which contains an arbitrarily oriented crack is considered. Using the existing solutions for the edge dislocations as Green's functions, first the general problem of a through crack in the form of an arbitrary smooth arc located in the matrix in the vicinity of the inclusion is formulated. The integral equations for the line crack are then obtained as a system of singular integral equations with simple Cauchy kernels. The singular behavior of the stresses around the crack tips is examined and the expressions for the stress intensity factors representing the strength of the stress singularities are obtained in terms of the asymptotic values of the density functions of the integral equations. The problem is solved for various typical crack orientations and the corresponding stress intensity factors are given.

  • Corporate Authors:

    Lehigh University

    Institute of Fracture and Solid Mechanics
    Bethlehem, PA  United States  18015
  • Authors:
    • Erdogan, F
    • Gupta, G D
    • Ratwani, M
  • Publication Date: 1973-5

Media Info

  • Pagination: 33 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00054878
  • Record Type: Publication
  • Source Agency: Shock and Vibration Digest
  • Report/Paper Numbers: NASA-CR-132291
  • Files: TRIS
  • Created Date: Jul 15 1974 12:00AM