Bending Fatigue of Wood: Strain Energy-Based Failure Criterion and Fatigue Life Prediction


  • Atsushi Watanabe
  • Yasutoshi Sasaki
  • Mariko Yamasaki


Fatigue, strain energy, failure criterion, fatigue life prediction


In this study, bending fatigue behavior of Japanese cedar and Selangan batu was examined. A nonreversible triangular waveform with loading frequencies of 0.5 and 5 Hz was used as load. Applied loads were about 110-70% of the static strength. The fatigue life of Japanese cedar was found to be longer at 5 Hz, especially at low stress level. For Selangan batu, however, loading frequency did not affect fatigue life. When fatigue life exceeded about 40,000 cycles, a crack formed on the compressive sides of the specimens regardless of the loading frequency and species. Cumulative strain energy at failure was found to be the failure criterion regardless of the loading frequency. This criterion could be estimated using the strain energy through the static test. A fatigue life prediction method based on the strain energy of the second loading cycle was proposed. This prediction method provided a good prediction of fatigue life.


Ando K, Yamasaki M, Watanabe J, Sasaki Y (2005) Torsional fatigue properties of wood (in Japanese). Mokuzai Gakkaishi 51:98-103.nClorius CO, Pederson MU, Hoffmeyer P, Damkilde L (2000) Compressive fatigue in wood. Wood Sci Technol 34:21-37.nGong M, Smith I (2003) Effect of waveform and loading sequence on low-cycle compressive fatigue life of spruce. J Mater Civ Eng 15:93-99.nHacker CL, Ansell MP (2001) Fatigue damage and hysteresis in wood-epoxy laminates. J Mater Sci 36:609-621.nJapanese Industrial Standards (2009) JISZ2101. Method of test for wood. JIS, Tokyo, Japan.nKohara M, Kanayama K, Nakai A, Nagata K, Okuyama T (1997) Damages in wood beams caused by fatigue under pulsating loads (in Japanese). Mokuzai Gakkaishi 43:909-915.nKohara M, Okuyama T (1992) Mechanical responses of wood to repeated loading V—Effect of duration time and number of repetitions on the time to failure in bending (in Japanese). Mokuzai Gakkaishi 38:753-758.nKohara M, Okuyama T (1994a) Mechanical responses of wood to repeated loading VII—Dependence of energy loss on stress amplitude and effect of wave forms on fatigue lifetime. Mokuzai Gakkaishi 40:491-496.nKohara M, Okuyama T (1994b) Mechanical responses of wood to repeated loading VIII—Variation of energy loss behaviours with species. Mokuzai Gakkaishi 40: 801-809.nMarsoem SN, Bordonné PA, Okuyama T (1987) Mechanical responses of wood to repeated loading II—Effect of wave form on tensile fatigue. Mokuzai Gakkaishi 33:354-360.nOkuyama T, Itoh A, Marsoem SN (1984) Mechanical responses of wood to repeated loading I—Tensile and compressive fatigue fractures. Mokuzai Gakkaishi 30:791-798.nOtto LR, Longnecker MT (2000) An introduction to statistical methods and data analysis. Duxbury, North Scituate, MA, pp 943-974.nPritchard J, Ansell MP, Thompson RJH, Bonfield PW (2001) Effect of two relative humidity environments on the performance properties of MDF, OSB, and chipboard. Part 2. Fatigue and creep performance. Wood Sci Technol 35:405-423.nSasaki Y, Yamasaki M, Sugimoto T (2005) Fatigue damage in wood under pulsating multiaxial-combined loading. Wood Fiber Sci 37:232-241.nSugimoto T, Sasaki Y (2006) Effect of loading frequency on fatigue life and dissipated energy of structural plywood under panel shear load. Wood Sci Technol 40:501-515.nSugimoto T, Sasaki Y, Yamasaki M (2007a) Fatigue of structural plywood under cyclic shear through thickness I—Fatigue process and failure criterion based on strain energy. J Wood Sci 53:296-302.nSugimoto T, Sasaki Y, Yamasaki M (2007b) Fatigue of structural plywood under cyclic shear through thickness II—A new method for fatigue life prediction. J Wood Sci 53:303-308.nThompson RJH, Bonfield PW, Dinwoodie JM, Ansell MP (1996) Fatigue and creep in chipboard. Part 3. The effect of frequency. Wood Sci Technol 30:293-305.n






Research Contributions