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

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Abstract

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.

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References

  • Bouchaud E (1997) Scaling properties of cracks. J Phys Condens Matter 9(4319): 797–814

    Google Scholar 

  • Brown SR, Scholz CH (1985) Broad bandwidth study of the topography of natural rock surfaces. J Geophys Res 90: 12–575

    Google Scholar 

  • Drummond JL, Thompson M, Super BJ (2005) Fracture surface examination of dental ceramics using fractal analysis. Dent Mater 21: 586

    Article  CAS  Google Scholar 

  • 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 

  • Hatzikiriakos SG, Avramldis S (1994) Fractal dimension of wood surfaces from sorption isotherms. Wood Sci Tech 28: 275–284

    Article  CAS  Google Scholar 

  • Jose AR (1997) The fractal nature of wood revealed by water absorption. Wood Fib Sci 29(4): 333–339

    Google Scholar 

  • Kollmann FFP, Cate WA (1968) Principles of wood science and technology I solid wood. Springer, New York, p 526

    Book  Google Scholar 

  • Kotowski P (1996) Fractal dimension of metallic fracture surface. Int J Fract 141: 269–286

    Article  Google Scholar 

  • 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 

  • Liu J, Furuno T (2002) The fractal estimation of wood color variation by the triangular prism surface area method. Wood Sci Tech 36(5): 385–397

    Article  CAS  Google Scholar 

  • Mandelbrot BB (1983) Fractal geometry of nature. W.H. Freeman and Company, New York

    Google Scholar 

  • Mandelbrot BB, Passoja DE, Paullay AJ (1984) Fractal character of fracture surfaces in metals. Nature 308: 721–722

    Article  CAS  Google Scholar 

  • Mecholsky JJ, Passoja DE, Feinberg-Ringel KS (1989) Quantitative analysis of brittle fracture surfaces using fractal geometry. J Am Ceram Soc 72: 60–65

    Article  CAS  Google Scholar 

  • Morel S, Bouchaud E, Schmittbuhl J, Valentini G (2002) R-curve behavior and roughness development of fracture surfaces. Int J Fract 114: 307–325

    Article  Google Scholar 

  • 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: 27–37

    Article  CAS  Google Scholar 

  • 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 

  • Schachner H, Reitere A, Stanzl-Tschegg SE (2000) Orthotropic fracture toughness of wood. J Mater Sci Lett 19: 1783–1785

    Article  CAS  Google Scholar 

  • Schmitt U, Richter HG (1996) Fracture morphology of hickory (Carya spp. juglandaceae) under single-blow impact loading. IAWA J 17(2): 151–160

    Google Scholar 

  • Severa L, Buchar J (2000) Methods of quantitative fractography usable for evaluation of fracture surface of wood. Drevarsky Vyskum 45(4): 9–17

    Google Scholar 

  • Stanzl-Tschegg SE, Tan DM, Tschegg EK (1995) New splitting method for wood fracture characterization. Wood Sci Technol 29(1): 31–50

    Article  CAS  Google Scholar 

  • Triboulot P, Jodin P, Pluvinage G (1984) Validity of fracture mechanics concepts applied to wood by finite element calculation. Wood Sci Technol 18(1): 51–58

    Article  Google Scholar 

  • Underwood EE (1987) Fractal in materiaes research. Acta Stereol 13: 269

    Google Scholar 

  • Wu EM (1967) Application of fracture mechanics to anisotropic plates. J Appl Mech 34: 967–974

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. College of Forestry, Anhui Agricultural University, 130 West Changjiang Rd., Hefei, 230036, China

    Yijun Wu, Zhuoping Shao & Fuli Wang

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  1. Yijun Wu
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  2. Zhuoping Shao
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  3. Fuli Wang
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Correspondence to Zhuoping Shao.

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Wu, Y., Shao, Z. & Wang, F. Study on wood fracture parallel to the grains based on fractal geometry. Int J Fract 176, 163–169 (2012). https://doi.org/10.1007/s10704-012-9732-0

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  • DOI: https://doi.org/10.1007/s10704-012-9732-0

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