Energy Criterion for Fatigue Strength of Wood Structural Members

[+] Author and Article Information
Jen Y. Liu, Robert J. Ross

USDA Forest Service, Forest Products Laboratory, One Gifford Pinchot Drive, Madison, WI 53705-2398

J. Eng. Mater. Technol 118(3), 375-378 (Jul 01, 1996) (4 pages) doi:10.1115/1.2806823 History: Received June 03, 1995; Revised September 17, 1995; Online November 27, 2007


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 small Douglas-fir beams are presented.

Copyright © 1996 by The American Society of Mechanical Engineers
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