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Variability of fracture toughness by the crack tip position in an annual ring of coniferous wood
Journal of Wood Science volume 45, pages 275–283 (1999)
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
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
Ando K, Ohta M (1995) Relationships between the morphology of micro-fractures of wood and the acoustic emission characteristics. Mokuzai Gakkaishi 41:640–646
Barrett JD, Foschi RO (1977) Mode II stress-intensity factors for cracked wood beams. Eng Frac Mech 9:371–378
Cramer SM, Goodman JR (1983) Model for stress analysis and strength prediction of lumber. Wood Fiber Sci 15:338–349
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
Masuda M (1986) Theoretical consideration on fracture criteria of wood (in Japanese). Bull Kyoto Univ For 58:241–250
Zandbergs JG, Smith FW (1988) Finite element fracture prediction for wood with knots and cross grain. Wood Fiber Sci 20:97–106
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
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
Ohgama T, Yamada T (1981) Young's moduli of earlywood and latewood in transverse direction of softwoods (in Japanese). Zairyo 30:707–711
Okamura H (1976) Introduction to linear fracture mechanics (in Japanese). Baihukan, Tokyo, p 217
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
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
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
Sawada M (1963) Elasticity and strength of wood as an orthotropic material (in Japanese). Zairyo 12:749–753
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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
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DOI: https://doi.org/10.1007/BF00833491