Skip to main content

Official Journal of the Japan Wood Research Society

  • Original Article
  • Published:

Variability of fracture toughness by the crack tip position in an annual ring of coniferous wood

Abstract

The effects of the location of the crack tip in an annual ring and the direction of crack propagation on the fracture toughness of the TR crack propagation system of coniferous wood (T, direction normal to the notch plane; R, propagation direction) were analyzed by the finite element method in regard of the changes in elastic modulus and strength within an annual ring. The critical point of the fracture was defined as the state where the stress of a square element (0.125 × 0.125 mm) in contact with the crack tip equals the tensile strength. The distribution of specific gravity was measured by soft X-ray densitometry. The elastic moduli in the T and R directions were estimated by the sound velocity. The tensile strengths in the T and R directions were measured by the tensile test using small specimens of l mm span length. Regarding the variability of fracture toughness (K IC), the experimental and calculated results had the same tendency. Therefore, it was concluded that the variability ofK IC is caused by the (1) heterogeneity of the elastic modulus and strength within an annual ring; and (2) changes in the degree of stress concentration at the crack tips, according to the direction of crack propagation.

References

  1. Ando K, Sato K, Fushitani M (1991) Fracture toughness and acoustic emission characteristics of wood. I. Effect of the location of a crack tip in an annual ring (in Japanese). Mokuzai Gakkaishi 37:1129–1134

    Google Scholar 

  2. Ando K, Ohta M (1995) Relationships between the morphology of micro-fractures of wood and the acoustic emission characteristics. Mokuzai Gakkaishi 41:640–646

    Google Scholar 

  3. Barrett JD, Foschi RO (1977) Mode II stress-intensity factors for cracked wood beams. Eng Frac Mech 9:371–378

    Article  Google Scholar 

  4. Cramer SM, Goodman JR (1983) Model for stress analysis and strength prediction of lumber. Wood Fiber Sci 15:338–349

    Google Scholar 

  5. Triboulot P, Jodin P, Pluvinage G (1984) Validity of fracture mechanics concepts applied to wood by finite element calculation. Wood Sci Technol 18:51–58

    Article  Google Scholar 

  6. Masuda M (1986) Theoretical consideration on fracture criteria of wood (in Japanese). Bull Kyoto Univ For 58:241–250

    Google Scholar 

  7. Zandbergs JG, Smith FW (1988) Finite element fracture prediction for wood with knots and cross grain. Wood Fiber Sci 20:97–106

    Google Scholar 

  8. Masuda M, Honda R (1994) Theoretical analysis on bending of lumber containing knots by using finite element method (in Japanese). Mokuzai Gakkaishi 40:127–133

    Google Scholar 

  9. Ohgama T, Masuda M, Yamada T (1977) Stress distribution within cell wall of wood subjected to tensile force in transverse direction (in Japanese). Zairyo 26:433–438

    Google Scholar 

  10. Ohgama T, Yamada T (1981) Young's moduli of earlywood and latewood in transverse direction of softwoods (in Japanese). Zairyo 30:707–711

    Google Scholar 

  11. Okamura H (1976) Introduction to linear fracture mechanics (in Japanese). Baihukan, Tokyo, p 217

    Google Scholar 

  12. Koshijima T, Sugihara H, Hamada R, Fukuyama M, Fuse G (1983) Light, friction, sound and vibration (in Japanese). In: Fundamental wood engineering. Bunkyo-Shuppan, Osaka, pp 93–104

    Google Scholar 

  13. Fushitani M, Kikata Y, Okano T, Sado T, Takemura T, Norimoto M, Arima T, Tsutsumi J, Hirai N (1985) Elasticity (in Japanese). In: Physics of wood. Bun-eido, Tokyo, pp 94–115

    Google Scholar 

  14. Fushitani M, Kikata Y, Okano T, Sado T, Takemura T, Norimoto M, Arima T, Tsutsumi J, Hirai N (1985) Strength (in Japanese). In: Physics of wood. Bun-eido, Tokyo, pp 140–167

    Google Scholar 

  15. Sawada M (1963) Elasticity and strength of wood as an orthotropic material (in Japanese). Zairyo 12:749–753

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kosei Ando.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ando, K., Ohta, M. Variability of fracture toughness by the crack tip position in an annual ring of coniferous wood. J Wood Sci 45, 275–283 (1999). https://doi.org/10.1007/BF00833491

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00833491

Key words