Elasto-Plastic Fracture Mechanics of Wood Using the J-Integral Method

Authors

  • Borjen Yeh
  • Arno P. Schniewind

Keywords:

J-integral, fracture, fracture mechanics, elasticity, plasticity, fracture toughness, strain energy release rate

Abstract

Linear-elastic fracture mechanics has been applied extensively to wood. However, wood is not a perfectly linear-elastic material, particularly at elevated temperatures and moisture contents. The applicability of the J-integral method to wood was therefore investigated. Douglas-fir (Pseudotsuga menziesii) and Pacific madrone (Arbutus menziesii) were tested. Opening mode (Mode I) fracture tests at two loading rates were conducted in a test chamber with controlled environment at temperatures from 70 to 140 F and moisture contents from 12% to green. The critical elasto-plastic fracture toughness (JIc), critical strain energy release rate (GIc), and fracture toughness (KIc) were calculated. Species, moisture content, temperature, and loading rate were all found to have a significant effect on the three fracture parameters. The relationship between any two of these parameters was also established by empirical equations, making it possible to estimate JIc from existing values of KIc and GIc. Since the degree of plasticity was as high as 60% for Pacific madrone and 40% for Douglas-fir at elevated temperature and high moisture content conditions, a large amount of strain energy capacity might be held in reserve (would not be accounted for) when the linear-elastic fracture mechanics theory is applied. Consequently, the J-integral method is more appropriate to characterize the actual fracture strength of wood.

References

Anonymous. 1984. Application of fracture mechanics: Fracture toughness of Finnish Wood. Research Newsletter 84 08 15. Technical Research Centre of Finland, Laboratory of Structural Engineering.nBegley, J. A., and J. D. Landes. 1972. The J integral as a fracture criterion. In Fracture toughness. ASTM STP 514. American Society for Testing and Materials, Philadelphia, PA.nBrown, W. F., Jr., and J. E. Srawley. 1966. Plane strain crack toughness testing of high strength metallic materials. ASTM STP 410. American Society for Testing and Materials, Philadelphia, PA.nBucci, R. J., P. C. Paris, J. D. Landes, and J. R. Rice. 1972. J integral estimation procedures, In Fracture toughness. ASTM STP 514. American Society for Testing and Materials, Philadelphia, PA.nForest Products Laboratory. 1987. Wood handbook: Wood as an engineering material. Agriculture Handbook 72. U.S. Department of Agriculture, Washington, D.C.nIrwin, G. R., and J. A. Kies. 1954. Critical energy rate analysis of fracture strength of large welded structures. Welding Journal, Research Supplement 33(4):193s-198s.nJohnson, J. A. 1973. Crack initiation in wood plates, Wood Science 6(2):151-158.nLandes, J. D., and J. A. Begley. 1972. The effect of specimen geometry on JIc. In Fracture toughness. ASTM STP 514. American Society for Testing and Materials, Philadelphia, PA.nMindess, S., and A. Bentur. 1986. Crack propagation in notched wood specimens with different grain orientations. Wood Sci. Technol. 20(2):145-155.nMorlier, P., and G. Valentin. 1982. Rupture de bois en mode mixte. Cashiers du Groupe Francais de Rheologie 5(6):367-376.nPatton-Mallory, M., and S. M. Cramer. 1987. Fracture mechanics: A tool for predicting wood component strength. Forest Prod. J. 37(7/8):39-47.nRice, J. R. 1968. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mechanics 35:379-386.nRice, J. R., and G. F. Rosengren. 1968. Plane strain deformation near a crack tip in a power-law hardening material. J. Mech. and Phys. of Solids 16:1-12.nSchniewind, A. P., and R. A. PozniaK. 1971. On the fracture toughness of Douglas-fir wood. Eng. Fracture Mechanics 2(3):223-233.nSchniewind, A. P., T. Ohgama, T. Aoki, and T. Yamada. 1982. Effect of specific gravity, moisture content, and temperature on fracture toughness of wood. Wood Science 15(2):101-109.nSih, G. C., P. C. Paris, and G. R. Irwin. 1965. On cracks in rectilinearly anisotropic bodies. Int. J. Fracture Mechanics 1(3):189-203.nSobue, N., D. Bajolet, and G. Pluvinage. 1985. Effect of drying stress on the fracture toughness of wood. J. Japan Wood Res. Soc. 31(7):528-531.nWalsh, P. F. 1972. Linear fracture mechanics in orthotropic materials. Eng. Fracture Mechanics 4(3):533-541.nZakic, B. D. 1988. Elasto-plastic torsion of circular wooden rods. Holzforschung und Holzverwertung 40(6):140-146.n

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Published

2007-06-28

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Research Contributions