Frequency-domain fatigue damage prediction based on spectral moments
provides a framework in which anticipated life calculated over an entire
structure subject to vibratory random loading (typically in the high
cycle fatigue regime) can be rapidly obtained. However, the basis of the
methods of spectral fatigue assume stationary, Gaussian, zero-mean,
narrow-band (single dominant frequency) input, without the presence of
overloads (stresses that exceed the initial yield stress), a significant
set of restrictions. Given the importance of overloads in determining
fatigue lifeI, we propose a novel “bilinear” formulation of spectral
fatigue equations, that separates damage due to small and large strain
amplitudes, is developed that matches or significantly outperforms
existing stress-based HCF approaches (including for multiaxial
elastoplastic loading) while avoiding non-conservative predictions
suffered by an existing strain-based implicit formulation when the power
spectral density include excursions into plastic loading due to the
presence of overloads. Comparisons with synthetic and experimental data
sets demonstrate the efficacy of the approach in a variety of different
loading conditions.