Summary
A probabilistic analysis of fatigue crack growth, fatigue life and reliability of elastic structural components is presented on the basis of fracture mechanics and the theory of random process. Both the material resistance to fatigue crack growth and the time-history of the stress are assumed to be random. The stress in an elastic structural component is proportional to the corresponding displacement response that is governed either by a linear differential equation for a linear structural system or by a nonlinear differential equation for a nonlinear structural system due to the plasticity other components. Analytical expressions are obtained for the special case that the random stress process is narrow-banded. Numerical examples are given for the randomized Paris-Erdogan type crack growth law to illustrate the procedures and the results are compared with those obtained from simulation to validate the stochastic approach.
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Dedicated to Prof. Dr. Dr. h. c. Franz Ziegler on the occasion of his 60th birthday
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Lei, Y. A stochastic approach to fatigue crack growth in elastic structural components under random loading. Acta Mechanica 132, 63–74 (1999). https://doi.org/10.1007/BF01186960
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DOI: https://doi.org/10.1007/BF01186960