By L. I. Sedov, J. R. M. Radok

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**Extra resources for A Course in Continuum Mechanics Volume 1: Basic Equations and Analytical Techniques**

**Example text**

Thus, these methods are considered inadequate for fatigue damage analysis. However, the following sections present descriptions of the one-parameter cycle counting methods as an illustration of the techniques used in cycle counting and for comparison to the more effective two-parameter cycle counting methods. 1 LEVEL CROSSING CYCLE COUNTING In this counting method, the magnitude of the loads in the load-time history has to be divided into a number of levels. 2(a). One count at a specific level is defined when a portion of the load-time history with a positive slope crosses through this level above a reference load or when a portion of the load-time history with a negative slope passes through this level below a reference load.

A cumulative damage rule based on the knee point of the S-N curve, Journal of Engineering Materials and Technology, Vol. 98, 1976, pp. 316-321. Wirshing, P. , Paez, T. , Random Vibration: Theory and Practice, Wiley, New York. 1995. 1 INTRODUCTION The fatigue damage theories discussed in Chapter 2 indicate that fatigue damage is strongly associated with the cycle ratio, ni/Ni,f, where ni and Ni,f are, respectively, the number of applied stress and/or strain cycles and the fatigue life at a combination of stress and/or strain amplitude and mean stress levels.

1). The next step in the fatigue process is the crack growth stage. This stage is divided between the growth of Stage I and Stage I1 cracks. Stage I crack nucleation and growth are usually considered to be the initial short crack propagation across a finite length of the order of a couple of grains on the local maximum shear stress plane. In this stage, the crack tip plasticity is greatly affected by the slip characteristics, grain size, orientation, and stress level, because the crack size is comparable to the material microstructure.