Energy criterion for fatigue strength of wood structural members

Jen Y. Liu, Robert J. Ross

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations


This report describes a mathematical model for fatigue strength of cellulosic materials under sinusoidal loading. The model is based on the Reiner-Weissenberg thermodynamic theory of strength in conjunction with a nonlinear Eyring's three-element model. This theory states that failure depends on a maximum value of the intrinsic free energy that can be stored elastically in a volume element of the material. The three-element mechanical model, which consists of a linear spring in series with a parallel array of another linear spring and an Eyring dashpot, provides a good description of rheological material properties. The strength model system was able to predict rupture occurrence of polymers and wood structural members under constant and ramp loading with satisfactory results. For sinusoidal loading, the present study shows that the strength model system can predict time at fracture as a function of applied mean stress, amplitude of cyclic stress, and stress frequency. Numerical examples with model parameters evaluated for Douglas-fir beams are presented.

Original languageEnglish (US)
Pages (from-to)125-133
Number of pages9
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - Jan 1 1995
EventProceedings of the 1995 Joint ASME Applied Mechanics and Materials Summer Meeting - Los Angeles, CA, USA
Duration: Jun 28 1995Jun 30 1995


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