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Quasi-non-linear fracture mechanics analysis of the double cantilever beam specimen

Abstract

A quasi-non-linear fracture mechanics model based on beam on elastic foundation theory is applied for analysis of the double cantilever beam (DCB) specimen for determination of fracture energy of wood. The properties of the elastic foundation are chosen so that the perpendicular-to-grain tensile strength and fracture energy properties of the wood are correctly represented. It is shown that this particular choice of foundation stiffness makes a conventional maximum stress failure criterion lead to the same solution as the fracture mechanics compliance method. Results of linear elastic fracture mechanics are obtained as a special case by assuming an infinitely large value of the perpendicular-to-grain tensile strength. The quasi-non-linear fracture mechanics model is compared with other models and with results of tests conducted to reveal the influence of the geometrical properties of the DCB specimen. In addition, the appropriateness of choice of the foundation stiffness is investigated.

References

  1. 1

    Wernersson H (1994) Fracture characterization of wood adhesive joints. Report TVSM-1006, Lund University, Lund Institute of Technology, Division of Structural Mechanics, Sweden

  2. 2

    PJ Gustafsson (2003) Fracture perpendicular to grain – structural applications S Thelandersson HJ Larsen (Eds) Timber engineering Wiley Chichester 103–130

    Google Scholar 

  3. 3

    American Society for Testing and Materials (1995) ASTM D 3433 – 93, Standard test method for fracture strength in cleavage of adhesives in bonded metal joints. In: Annual Book of ASTM Standards, ASTM, Philadelphia, Vol 15.06, pp 218–224

  4. 4

    Gustafsson PJ, Larsen HJ (2001) Dowel joints loaded perpendicular to grain. In: Aicher S, Reinhardt HW (eds) Joints in timber structures. Proceedings of the International RILEM Symposium, Stuttgart, Germany, pp 577–586

  5. 5

    K Komatsu H Sasaki T Maku (1976) ArticleTitleStrain energy release rate of double cantilever beam specimen with finite thickness of adhesive layer Wood Res 59 80–92

    Google Scholar 

  6. 6

    WD Pilkey (1994) Formulas for stress, strain, and structural matrices Wiley New York 534–545

    Google Scholar 

  7. 7

    K Hellan (1984) Introduction to fracture mechanics McGraw-Hill New York 49–72

    Google Scholar 

  8. 8

    AJM Jorissen (1998) Double shear timber connections with dowel type fasteners Delft University Press Delft, The Netherlands

    Google Scholar 

  9. 9

    PJ Gustafsson (1987) Analysis of generalized Volkersen-joints in terms of non-linear fracture mechanics G Verchery AH Cardon (Eds) Mechanical behaviour of adhesive joints Pluralis Paris 323–338

    Google Scholar 

  10. 10

    Yasumura M (2002) Determination of fracture parameter for dowel-type joints loaded perpendicular to wooden grain and its application. In: Proceedings of the International Council for Research and Innovation in Building and Construction, CIB-W18 Meeting Thirty-Five, Kyoto, Japan, paper No. 35-7-9

  11. 11

    JL Jensen (2005) ArticleTitleQuasi-non-linear fracture mechanics analysis of the splitting failure of single dowel joints loaded perpendicular to grain J Wood Sci 51 559–565 Occurrence Handle10.1007/s10086-005-0699-6

    Article  Google Scholar 

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Correspondence to Jørgen Lauritzen Jensen.

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Jensen, J. Quasi-non-linear fracture mechanics analysis of the double cantilever beam specimen. J Wood Sci 51, 566–571 (2005). https://doi.org/10.1007/s10086-005-0700-4

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Key words

  • DCB specimen
  • Fracture energy
  • Beam on elastic foundation
  • Foundation stiffness
  • Quasi-non-linear fracture mechanics