Research Papers

Stochastic Fatigue Crack Growth Analysis for Space System Reliability

[+] Author and Article Information
Hossein Salimi

Mechanical Engineering Department,
Sahand University of Technology,
Tabriz 51335-1996, Iran
e-mail: h_salimi@sut.ac.ir

Saeed Kiad

Mechanical Engineering Department,
Sahand University of Technology,
Tabriz 51335-1996, Iran
e-mail: s_kiad@sut.ac.ir

Mohammad Pourgol-Mohammad

Mechanical Engineering Department,
Sahand University of Technology,
Tabriz 51335-1996, Iran
e-mail: pourgolmohammad@sut.ac.ir

1Corresponding author.

Manuscript received February 15, 2017; final manuscript received June 23, 2017; published online October 3, 2017. Assoc. Editor: Alba Sofi.

ASME J. Risk Uncertainty Part B 4(2), 021004 (Oct 03, 2017) (7 pages) Paper No: RISK-17-1025; doi: 10.1115/1.4037219 History: Received February 15, 2017; Revised June 23, 2017

In this study, stochastic analysis is aimed for space structures (satellite in low earth orbit, made of aluminum 2024-T3), with the focus on fatigue failure. Primarily, the deterministic fatigue simulation is conducted using Walker and Forman models with constant amplitude loading. Deterministic crack growth was numerically simulated by the authors developed algorithm and is compared with commercial software for accuracy verification as well as validation with the experimental data. For the stochastic fatigue analysis of this study, uncertainty is estimated by using the Monte Carlo simulation. It is observed that by increasing the crack length, the standard deviation (the measure of uncertainty) increases. Also, it is noted that the reduction in stress ratio has the similar effect. Then, stochastic crack growth model, proposed by Yang and Manning, is employed for the reliability analysis. This model converts the existing deterministic fatigue models to stochastic one by adding a random coefficient. Applicability of this stochastic model completely depends on accuracy of base deterministic function. In this study, existing deterministic functions (power and second polynomial) are reviewed, and three new functions, (i) fractional, (ii) global, and (iii) exponential, are proposed. It is shown that the proposed functions are potentially used in the Yang and Manning model for better results.

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Dowling, N. E. , 1993, Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Prentice Hall, Englewood Cliffs, NJ.
Cui, W. , 2002, “ A State-of-the-Art Review on Fatigue Life Prediction Methods for Metal Structures,” J. Mar. Sci. Technol., 7(1), pp. 43–56. [CrossRef]
Huang, X. , Torgeir, M. , and Cui, W. , 2008, “ An Engineering Model of Fatigue Crack Growth Under Variable Amplitude Loading,” Int. J. Fatigue, 30(1), pp. 2–10. [CrossRef]
Paris, P. , and Erdogan, F. , 1963, “ A Critical Analysis of Crack Propagation Laws,” ASME J. Fluids Eng., 85(4), pp. 528–533.
Walker, K. , 1970, “ The Effect of Stress Ratio During Crack Propagation and Fatigue for 2024-T3 and 7075-T6 Aluminum,” Effects of Environment and Complex Load History on Fatigue Life, Vol. 462, American Society for Testing and Materials, Philadelphia, PA, pp. 1–14. [CrossRef]
Forman, R. G. , Kearney, V. , and Engle, R. , 1967, “ Numerical Analysis of Crack Propagation in Cyclic-Loaded Structures,” ASME J. Fluids Eng., 89(3), pp. 459–463.
Wang, X. , Rabiei, M. , Hurtado, J. , Modarres, M. , and Hoffman, P. , 2009, “ A Probabilistic-Based Airframe Integrity Management Model,” Reliab. Eng. Syst. Saf., 94(5), pp. 932–941. [CrossRef]
Abdelal, G. F. , Abuelfoutouh, N. , and Gad, A. H. , 2012, Finite Element Analysis for Satellite Structures: Applications to Their Design, Manufacture and Testing, Springer Science & Business Media, London.
Abdullah, S. , Ariffin, A. , and Beden, S. , 2011, Fatigue Crack Growth Simulation of Aluminium Alloy Under Cyclic Sequence Effects, InTech, Rijeka, Croatia. [CrossRef]
Saleh, J. H. , Hastings, D. E. , and Newman, D. J. , 2002, “ Spacecraft Design Lifetime,” J. Spacecr. Rockets, 39(2), pp. 244–257. [CrossRef]
Hurtado, J. L. , and Hoffman, P. , 2006, “ Airframe Integrity Based on Bayesian Approach,” Annual Reliability and Maintainability Symposium (RAMS), Newport Beach, CA, Jan. 23–26, pp. 630–635.
Yang, J. , and Manning, S. , 1990, “ Demonstration of Probabilistic-Based Durability Analysis Method for Metallic Airframes,” J. Aircr., 27(2), pp. 169–175. [CrossRef]
Yang, J. , and Manning, S. , 1990, “ Stochastic Crack Growth Analysis Methodologies for Metallic Structures,” Eng. Fract. Mech., 37(5), pp. 1105–1124. [CrossRef]
Yang, J. , and Manning, S. , 1996, “ A Simple Second Order Approximation for Stochastic Crack Growth Analysis,” Eng. Fract. Mech., 53(5), pp. 677–686. [CrossRef]
Yazdanipour, M. , Pourgol-Mohammad, M. , Choupani, N. A. , and Yazdani, M. , 2015, “ Fatigue Life Prediction Based on Probabilistic Fracture Mechanics: Case Study of Automotive Parts,” ASCE-ASME J. Risk Uncertainty Eng. Syst., Part B: Mech. Eng., 2(1), p. 011002. [CrossRef]
Ni, C. , 2014, “ Formulation of a Polynomial Stochastic Fatigue Crack Growth Model,” Adv. Mater. Res., 909, pp. 467–471.
Ni, C. , 2015, “ Experimental Verification of a Stochastic Fatigue Crack Growth Model,” Adv. Mater. Res., 1120–1121, pp. 1419–1423.
Wu, W. , and Ni, C. , 2003, “ A Study of Stochastic Fatigue Crack Growth Modeling Through Experimental Data,” Probab. Eng. Mech., 18(2), pp. 107–118. [CrossRef]
Gdoutos, E. , Rodopoulos, C. A. , and Yates, J. R. , 2013, Problems of Fracture Mechanics and Fatigue: A Solution Guide, Springer Science & Business Media, Dordrecht, The Netherlands.
Beden, S. , Abdullah, S. , and Ariffin, A. , 2009, “ Review of Fatigue Crack Propagation Models for Metallic Components,” Eur. J. Sci. Res., 28(3), pp. 364–397.
Li, L. , 2001, “ MATLAB User Manual,” The MathWorks, Inc., Natick, MA.
Harter, J. A. , 1999, “ AFGROW Users Guide and Technical Manual,” Defense Technical Information Center, Dayton, OH, Accession No. ADA370431.
Elber, W. , 1971, “ The Significance of Fatigue Crack Closure,” Damage Tolerance in Aircraft Structures, ASTM International, Philadelphia, PA. [CrossRef]
Yang, J. , Hsi, W. , and Manning, S. , 1985, “ Stochastic Crack Propagation With Applications to Durability and Damage Tolerance Analyses,” Defense Technical Information Center, Dayton, OH, Accession No. ADA168040.
Wu, W. , and Ni, C. , 2004, “ Probabilistic Models of Fatigue Crack Propagation and Their Experimental Verification,” Probab. Eng. Mech., 19(3), pp. 247–257. [CrossRef]


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Fig. 1

Typical form of the fatigue crack growth rate curve [19]

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Fig. 2

Hudson sample for experimental data [1]

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Fig. 3

matlab simulation, afgrow, and experimental data comparisons

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Fig. 4

matlab modeling and afgrow simulation for crack length versus fatigue cycle: (a) Walker model and (b) Forman model

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Fig. 5

Uncertainty analysis for difference stress ratio

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Fig. 6

Cumulative distribution function of optional critical crack length acr = 50.8 mm: (a) power model and (b) global model




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