International Journal of Fracture

, Volume 176, Issue 2, pp 163–169 | Cite as

Study on wood fracture parallel to the grains based on fractal geometry

  • Yijun Wu
  • Zhuoping Shao
  • Fuli Wang
Original Paper


The fracture toughness (K IC ) parallel to the grains of five kinds of wood was tested by compact tension specimen and the profile contour analysis method was employed to measure fractal dimensions D s of their fracture surfaces. The results show that fracture toughness parallel to the grains of various woods is different because of their textural diversity and such differences are also shown on the morphology of fracture surfaces. Furthermore, the fractal dimension D s and fracture toughness \({K_{IC}^{TL} }\) parallel to the grains have evident direct proportional relation, and this helps to reveal the inherent relationship between fracture toughness of wood and its microstructure.


Wood fracture Fractal Fracture toughness Fractal dimension 


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  1. Bouchaud E (1997) Scaling properties of cracks. J Phys Condens Matter 9(4319): 797–814Google Scholar
  2. Brown SR, Scholz CH (1985) Broad bandwidth study of the topography of natural rock surfaces. J Geophys Res 90: 12–575Google Scholar
  3. Drummond JL, Thompson M, Super BJ (2005) Fracture surface examination of dental ceramics using fractal analysis. Dent Mater 21: 586CrossRefGoogle Scholar
  4. Han W, Keqi W, Xuebing B (2007) The research of wood surface roughness based on fractal dimension. For Eng 23(2): 13–15 (in Chinese)Google Scholar
  5. Hatzikiriakos SG, Avramldis S (1994) Fractal dimension of wood surfaces from sorption isotherms. Wood Sci Tech 28: 275–284CrossRefGoogle Scholar
  6. Jose AR (1997) The fractal nature of wood revealed by water absorption. Wood Fib Sci 29(4): 333–339Google Scholar
  7. Kollmann FFP, Cate WA (1968) Principles of wood science and technology I solid wood. Springer, New York, p 526CrossRefGoogle Scholar
  8. Kotowski P (1996) Fractal dimension of metallic fracture surface. Int J Fract 141: 269–286CrossRefGoogle Scholar
  9. Lian Y, Guowei Y (1999) Measurement and calculation of fractal dimension of fractural morphology and computer simulation. Phys Chem Test Phys Fasc 35(9): 399–403 (in Chinese)Google Scholar
  10. Liu J, Furuno T (2002) The fractal estimation of wood color variation by the triangular prism surface area method. Wood Sci Tech 36(5): 385–397CrossRefGoogle Scholar
  11. Mandelbrot BB (1983) Fractal geometry of nature. W.H. Freeman and Company, New YorkGoogle Scholar
  12. Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal character of fracture surfaces in metals. Nature 308: 721–722CrossRefGoogle Scholar
  13. Mecholsky JJ, Passoja DE, Feinberg-Ringel KS (1989) Quantitative analysis of brittle fracture surfaces using fractal geometry. J Am Ceram Soc 72: 60–65CrossRefGoogle Scholar
  14. Morel S, Bouchaud E, Schmittbuhl J, Valentini G (2002) R-curve behavior and roughness development of fracture surfaces. Int J Fract 114: 307–325CrossRefGoogle Scholar
  15. Ponson L, Bonamy D, Auradou H, Mourot G, Morel S, Bouchaud E, Guillot C, Hulin JP (2006) Anisotropic self-affine properties of experimental fracture surfaces. Int J Fract 140: 27–37CrossRefGoogle Scholar
  16. Qin DC, Guan N, Jiang X (1999) Morphology of wood failure in relation to the variation in tensile strength parallel to grain of three hard pines. J Inst Wood Sci 15(1): 1–5 (in Chinese)Google Scholar
  17. Schachner H, Reitere A, Stanzl-Tschegg SE (2000) Orthotropic fracture toughness of wood. J Mater Sci Lett 19: 1783–1785CrossRefGoogle Scholar
  18. Schmitt U, Richter HG (1996) Fracture morphology of hickory (Carya spp. juglandaceae) under single-blow impact loading. IAWA J 17(2): 151–160Google Scholar
  19. Severa L, Buchar J (2000) Methods of quantitative fractography usable for evaluation of fracture surface of wood. Drevarsky Vyskum 45(4): 9–17Google Scholar
  20. Stanzl-Tschegg SE, Tan DM, Tschegg EK (1995) New splitting method for wood fracture characterization. Wood Sci Technol 29(1): 31–50CrossRefGoogle Scholar
  21. Triboulot P, Jodin P, Pluvinage G (1984) Validity of fracture mechanics concepts applied to wood by finite element calculation. Wood Sci Technol 18(1): 51–58CrossRefGoogle Scholar
  22. Underwood EE (1987) Fractal in materiaes research. Acta Stereol 13: 269Google Scholar
  23. Wu EM (1967) Application of fracture mechanics to anisotropic plates. J Appl Mech 34: 967–974CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.College of ForestryAnhui Agricultural UniversityHefeiChina

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