International Journal of Fracture

, Volume 52, Issue 1, pp 67–77 | Cite as

Analysis of interleaved end-notched flexure specimen for measuring mode II fracture toughness

  • L. A. Carlsson
  • A. Aksoy


Compliance and strain energy release rate of homogeneous and interleaved end-notched flexure specimens for mode II fracture characterization are investigated with shear deformation beam theory and finite element analysis. Interleaving refers to a thin layer of polymer film being placed at the midplane of the beam. Analytical results are correlated with numerical finite element results for a wide range of interleaf thicknesses. The finite element results revealed that the compliance and energy release rate remained virtually the same whether the crack was within the interlayer or between the interlayer and the composite. Furthermore, within the accuracy of the numerical modeling, the asymmetric crack configuration did not render the specimen mixed mode, (GI=0). Close agreement was observed between sandwich beam theory and finite element analysis.


Fracture Toughness Finite Element Analysis Polymer Film Energy Release Rate Mixed Mode 
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  1. 1.
    Application of Fracture Mechanics to Composite Materials, K. Friedrich (ed.) (Composite Materials Series, Vol. 6), Elsevier Science (1989).Google Scholar
  2. 2.
    R.E. Evans and J.E. Masters, in Toughened Composites, ASTM STP 937 (1987) 413–436.Google Scholar
  3. 3.
    J.E. Masters, ‘Development of Composites Having Improved Resistance to Delamination and Impact’, Final Report for Period Sept. 1984 – June 1987, AFWAL/MLBC, Wright Patterson Air Force Base, Ohio, 1987.Google Scholar
  4. 4.
    M.B. Dow and D.L. Smith, ‘Properties of Two Composite Materials Made of Toughened Epoxy Resin and High-Strain Graphite Fiber’, NASA Technical Paper 2826, 1988.Google Scholar
  5. 5.
    N. Sela, O. Ishai and L. Banks-Sills, Composites 20 (1989) 257–264.Google Scholar
  6. 6.
    Z. Suo and J.W. Hutchinson, Materials Science and Engineering A 107 (1989) 135–143.Google Scholar
  7. 7.
    J.W. Hutchinson, ‘Mixed Mode Fracture Mechanics of Interfaces’, Division of Applied Sciences Report, MECH-139, Harvard University, Cambridge, MA, 1989.Google Scholar
  8. 8.
    J.M. Whitney, ‘Structural Analysis of Laminated Anisotropic Plates’, Technomic (1987).Google Scholar
  9. 9.
    M.L. Williams, Bulletin of the Seismological Society of America 49 (1959) 199–204.Google Scholar
  10. 10.
    A.H. England, Journal of Applied Mechanics 32 (1965) 400–402.Google Scholar
  11. 11.
    F. Erdogan, Journal of Applied Mechanics 32 (1965) 403–410.Google Scholar
  12. 12.
    F. Erdogan and G.D. Gupta, International Journal of Solids and Structures 7 (1971) 1089–1107.Google Scholar
  13. 13.
    C.T. Sun and M.G. Manoharan, in Proceedings of the American Society for Composites, 2nd Technical Conference, 23–25 Sept. 1987, Technomic (1987) 49–57.Google Scholar
  14. 14.
    I.S. Raju, J.H. CrewsJr. and M.A. Aminpour, Engineering Fracture Mechanics 30 (1988) 383–396.Google Scholar
  15. 15.
    L.A. Carlsson, J.W. GillespieJr. and R.B. Pipes, Journal of Composite Materials 20 (1986) 594–604.Google Scholar
  16. 16.
    A.J. Russell and K.N. Street, in Delamination and Debonding of Materials, ASTM STP 876 (1985) 349–370.Google Scholar
  17. 17.
    L.A. Carlsson, L.S. Sendlein and S.L. Merry, Journal of Composite Materials 25 (1991) 101–116.Google Scholar
  18. 18.
    E. Reissner, Journal of Applied Mechanics 12 (1945) 69–77.Google Scholar
  19. 19.
    ANSYS Engineering Analysis System User's Manual, Swanson Analysis Systems Inc., 1987.Google Scholar
  20. 20.
    J.W. Gillespie, L.A. Carlsson and R.B. Pipes, Composites Science and Technology 27 (1986) 177–197.Google Scholar
  21. 21.
    T.K. O'Brien, G.B. Murri and S.A. Salpekar, Interlaminar Shear Fracture Toughness and Fatigure Thresholds for Composite Materials, NASA TM-89157, Aug. 1987.Google Scholar
  22. 22.
    A. Aksoy, Mode II Interlaminar Fracture Toughness of Interleaved Composite Materials, Masters thesis, Department of Mechanical Engineering, Florida Atlantic University, 1990.Google Scholar
  23. 23.
    E.F. Rybicki and M.F. Kanninen, Engineering Fracture Mechanics 9 (1977) 931–938.Google Scholar
  24. 24.
    J.M. Gere and S.P. Timoshenko, Mechanics of Materials, PWS Publishers (1984).Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • L. A. Carlsson
    • 1
  • A. Aksoy
    • 1
  1. 1.Department of Mechanical EngineeringFlorida Atlantic UniversityBoca RatonUSA

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