RELIABILITY OF A FATIGUE CRACK SUBJECT TO A STATIONARY NARROW BAND GAUSSIAN LOAD
A two phase method is developed for estimating the reliability of a cracked isotropic plate subject to a random time dependent loading based on the theories of linear elastic fracture mechanics. First, the crack trajectory is determined based on the maximum circumferential tensile stress theory of linear fracture mechanics. It is shown that the trajectory depends only on the initial geometry when a single load is applied. Therefore, crack trajectories are deterministic. Second, the crack growth along deterministic trajectories is described by the Paris-Erdogan model. Reliability is the probability that a function of crack length does not exceed a critical value during the design lifetime. Numerical results are presented for a white stationary Gaussian load applied to a plate containing a straight initial crack of random orientation. Reliability is calculated conditional on the orientation of the initial crack. Unconditional reliabilities are also obtained for a uniform probability of the initial crack orientation.
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Supplemental Notes:
- OMAE 1991, 10th Intl Conf on Offshore Mechanics & Arctic Engng; 23-28 June 1992; Stavanger, Norway. Sponsored by ASME et al. Procs. Publ by ASME, Vol II, p 113 [5 p, 6 ref, 3 fig]
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Authors:
- Grigoriu, M
- Saif, M T
- Publication Date: 1991
Language
- English
Subject/Index Terms
- TRT Terms: Cracking; Loads; Mathematical models; Reliability; Structural analysis
- Uncontrolled Terms: Crack propagation; Structural reliability
- Old TRIS Terms: Random loads
- Subject Areas: Marine Transportation;
Filing Info
- Accession Number: 00703102
- Record Type: Publication
- Source Agency: British Maritime Technology
- Files: TRIS
- Created Date: Aug 14 1995 12:00AM