Journal of Applied Mechanics · 2013 · 12 citations · 18 references
EngineeringMechanical EngineeringFatigue Failure PredictionStochastic AnalysisStochastic PhenomenonFatigueDynamic Crack PropagationFracture ModelingDamage MechanismStochastic ExcitationsMechanicsCrack Growth DynamicsPhysicsDifferent Fatigue DynamicsStochastic Dynamical SystemProbability TheoryStochastic ResonanceSpectrally Similar DeterministicFatigue Damage AccumulationLow-cycle FatigueStochastic ModelingEntropyRandom VibrationCrack FormationStructural MechanicsDamage EvolutionMechanics Of MaterialsFracture Mechanics
Estimating and tracking crack growth dynamics is essential for fatigue failure prediction. A new experimental system—coupling structural and crack growth dynamics—was used to show fatigue damage accumulation is different under chaotic (i.e., deterministic) and stochastic (i.e., random) loading, even when both excitations possess the same spectral and statistical signatures. Furthermore, the conventional rain-flow counting method considerably overestimates damage in case of chaotic forcing. Important nonlinear loading characteristics, which can explain the observed discrepancies, are identified and suggested to be included as loading parameters in new macroscopic fatigue models.
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Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.2K citations · Full text
Milton A. Miner · Journal of Applied Mechanics · 1945 · 6.1K citations
Characterization of Strange Attractors
Peter Grassberger, Itamar Procaccia · Physical Review Letters · 1983 · 4.8K citations