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Fatigue crack growth under variable-amplitude loading. II: Code development and model validation. (English) Zbl 1169.74579

This two-part paper [part I: Zbl 1169.74485] presents formulation and validation of a non-linear dynamical model of fatigue crack growth in ductile alloys under variable-amplitude loading including single-cycle overloads, irregular sequences, and random loads. The model is formulated in the state-space setting based on the crack closure concept and captures the effects of stress overload and reverse plastic flow. The state variables of the model are crack length and crack opening stress. This paper, which is the first part, presents formulation of the state-space model that can be restructured as an autoregressive moving average (ARMA) model for real-time applications such as health monitoring and life extending control. The second part is the companion paper that is dedicated to model validation with fatigue test data under different types of variable-amplitude and spectrum loading.

MSC:

74R99 Fracture and damage
74R10 Brittle fracture
37N15 Dynamical systems in solid mechanics

Citations:

Zbl 1169.74485

Software:

AFGROW; FASTRAN
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References:

[1] J.A. Harter, AFGROW Users’ Guide and Technical Manual, Report No. AFRL-VA-WP-1999-3016, Air Force Research Laboratory, WPAFB, OH 45433-7542, 1999
[2] Holmes, M.; Ray, A., Fuzzy damage mitigating control of mechanical structures, ASME J. dyn. syst., meas. control, 120, 2, 249-256, (1998)
[3] C.F. Lorenzo, M. Holmes, A. Ray, Design of life extending control using nonlinear parameter optimization, Lewis Research Center Technical Report No. NASA TP 3700, 1998
[4] Ljung, L., System identification theory for the user, (1999), Prentice-Hall Englewood Cliffs, NJ
[5] J.C. McMillan, R.M.N. Pelloux, Fatigue crack propagation under program and random loads, fatigue crack propagation, ASTM STP 415 (also Boeing Space Research Laboratory (BSRL) Document D1-82-0558, 1996), 1967, pp. 505-532
[6] Newman, J.C., A crack opening stress equation for fatigue crack growth, Int. J. fract., 24, R131-R135, (1984)
[7] J.C. Newman Jr., FASTRAN-II - A fatigue crack growth structural analysis program, NASA Technical Memorandum 104159, Langley Research Center, Hampton, VA 23665, 1992
[8] R. Patankar, Modeling fatigue crack growth for life extending control, Doctoral Dissertation in Mechanical Engineering, The Pennsylvania State University, University Park, May 1999
[9] Porter, T.R., Method of analysis and prediction for variable amplitude fatigue crack growth, Eng. fract. mech., 4, 717-736, (1972)
[10] Ray, A.; Pataukar, R., Appl. math. modelling, 25, 979-994, (2001), Part I
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.