Skip to main content

Official Journal of the Japan Wood Research Society

  • Original Article
  • Published:

Influence of span/depth ratio on the measurement of mode II fracture toughness of wood by end-notched flexure test

Abstract

The influence of the span/depth ratio when measuring the mode II fracture toughness of wood by endnotched flexure (ENF) tests was examined. Western hemlock (Tsuga heterophylla Sarg.) was used for the specimens. The ENF tests were conducted by varying the span/depth ratios; and the fracture toughness at the beginning of crack propagation GIIc was calculated by two equations that require the load-deflection compliance or Young's modulus. Additionally, the influence of the span/ depth ratio on the load-deflection compliance was analyzed by Timoshenko's bending theory in which additional deflection caused by the shearing force is taken into account. The following results were obtained: (1) When the span/depth ratio was small, the fracture toughness calculated with the data of load-deflection compliance was large. In contrast, the fracture toughness calculated with the equation containing Young's modulus tended to be constant. (2) In the small span/depth ratio range, the load-deflection compliance was estimated to be larger than that predicted by Timoshenko's bending theory. (3) To obtain the proper fracture toughness of wood with a single load-deflection relation, the span/depth ratio should be larger than that determined in several standards for the simple bending test method of wood, 12:16.

References

  1. Yoshihara H, Ohta M (2000) Measurement of the mode II fracture toughness of wood by end-notched flexure tests. J Wood Sci 46:273–278

    Article  Google Scholar 

  2. Carlsson LA, Gillespie JW, Pipes RB (1986) On the analysis and design of the end notched flexure specimen for mode II testing. J Comp Mater 20:594–604

    Article  Google Scholar 

  3. Gillespie JW, Carlsson LA, Pipes RB (1986) Finite element analysis of the end notched flexure specimen for measuring mode II fracture toughness. Comp Sci Technol 27:177–197

    Article  CAS  Google Scholar 

  4. Davies P (1997) Influence of ENF specimen geometry and friction on the mode-II delamination resistance of carbon/peek. J Thermoplast Comp Mater 10:353–361

    Article  CAS  Google Scholar 

  5. Okusa K (1983) Mode II energy release rate for the end-cracked wood beam (in Japanese). Bull Kagoshima Univ For 11:1–20

    Google Scholar 

  6. Okusa K (1983) Studies on the shearing of wood especially on the elastic plastic theory and fracture mechanics IV. Fracture toughness of wood in forward shear mode (in Japanese). Bull Fac Agr Kagoshima Univ 33:193–202

    Google Scholar 

  7. Yoshihara H, Kubojima Y, Nagaoka K, Ohta M (1998) Measurement of the shear modulus of wood by static bending tests. J Wood Sci 44:15–20

    Article  Google Scholar 

  8. Russell AJ, Street KN (1985) Moisture and temperature effects on the mixed-mode delamination fracture of unidirectional graphite/ epoxy. ASTM STP 876:349–370

    CAS  Google Scholar 

  9. Timoshenko SP (1955) Strength of materials Part 1. Elementary theory and problems, 3rd edn. Van Nostrand, New York, pp 165–310

    Google Scholar 

  10. JIS K7086-1993: Testing methods for interlaminar fracture toughness of carbon fibre reinforced plastics

  11. JIS K7074-1993: Testing methods for flexural properties of carbon fibre reinforced plastics

  12. JIS Z2101-1994: Methods of test for woods

  13. ASTM D143-1994: Standard methods of testing small clear specimens of timber

  14. ISO 3349-1975: Wood — determination of modulus of elasticity in static bending

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yoshihara, H. Influence of span/depth ratio on the measurement of mode II fracture toughness of wood by end-notched flexure test. J Wood Sci 47, 8–12 (2001). https://doi.org/10.1007/BF00776638

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00776638

Key words