Reliability-based optimization of maintenance scheduling of mechanical components under fatigue

Computer Methods in Applied Mechanics and Engineering

Volumn 221-222, Issue , 2012, Pages 24-40

  Beaurepaire, P ^a   Valdebenito, M A ^b   Schueller G I ^a   Jensen, H A ^b  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

Cohesive zone element; Crack propagation; Optimal maintenance scheduling; Reliability based optimization; Sensitivity

Indexed keywords

ALTERNATING STRESS; COHESIVE ZONE ELEMENT; DAMAGED STRUCTURES; FATIGUE CRACK INITIATION; FATIGUE CRACKS; FATIGUE LOADINGS; INHERENT VARIABILITY; INITIATION AND PROPAGATION; INSPECTION ACTIVITIES; MAINTENANCE SCHEDULING; MECHANICAL COMPONENTS; NON DESTRUCTIVE INSPECTION; NUMERICAL EXAMPLE; OPTIMAL MAINTENANCE; RELIABILITY BASED OPTIMIZATION; SENSITIVITY;

CRACK DETECTION; CRACK PROPAGATION; FATIGUE CRACK PROPAGATION; MAINTENANCE; RELIABILITY; SCHEDULING;

OPTIMIZATION;

EID: 84857710660     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.01.015     Document Type: Article

References (83)

1. Virkler D., Hillberry B., Goel P. The statistical nature of fatigue crack propagation. J. Engrg. Mater. Technol. 1979, 101:149-153. x.
2. H. Madsen, Random fatigue crack growth and inspection, in: I. Konishi, A.-S. Ang, M. Shinozuka, (Eds.), Proceedings of the Fourth International Conference on Structural Safety and Reliability (ICOSSAR'85), vol. 1, Kobe, 1985, pp. 475-484.
3. Yang J., Trapp W. Reliability analysis of aircraft structures under random loading and periodic inspection. AIAA J. 1974, 12(12):1623-1630.
4. Yao J., Kozin F., Wen Y., Yang J., Schuëller G., Ditlevsen O. Stochastic fatigue, fracture and damage analysis. Struct. Saf. 1986, 3:231-267.
5. Righiniotis T. Influence of management actions on fatigue reliability of a welded joint. Int. J. Fatigue 2004, 26(3):231-239.
6. Rocha M., Schuëller G. Markoff chain modelling of NDI techniques. Fatigue Fract. Engrg. Mater. Struct. 2004, 28:267-278.
7. Faber M., Kroon I., Sørensen J. Sensitivities in structural maintenance planning. Reliab. Engrg. Syst. Saf. 1996, 51(3):317-329.
8. Cremona C. Reliability updating of welded joints damaged by fatigue. Int. J. Fatigue 1996, 18:567-575.
9. Cremona C., Lukić M. Probability based assessment and maintenance of welded joints damaged by fatigue. Nucl. Engrg. Des. 1998, 182:253-266.
10. K. Kuntiyawichai, Quality assurance issues of structures (literature review), Technical Report, IfM-International Work, Report No. 3-47, Institute of Engineering Mechanics, Leopold-Franzens University, Innsbruck, Austria, EU, 2005.
11. E. Byon, L. Ntaimo, C. Singh, Y. Ding, Wind energy facility reliability and maintenance, in: Pardalos, Pereira, Rebennack, Boyko, (Eds.), Handbook of Wind Power Systems: Optimization, Modeling, Simulation and Economic Aspects, 2011.
12. Schuëller G.I., Gasser M., Hartl J., Lener G. Practical design procedures using reliability based optimization. J. Adv. Manuf. Syst. 2001, 4(1):101-120.
13. H. Madsen, J.D. Sørensen, R. Olesen, Optimal inspection planning for fatigue damage of offshore structures, in: A.-S. Ang, M. Shinozuka, G. Schuëller, (Eds.), Proceedings of the Fifth International Conference on Structural Safety and Reliability (ICOSSAR'89), vol. 3, San Francisco, 1989, pp. 2099-2106.
14. Shoji H., Shinozuka M., Sampath S. A bayesian evaluation of simulation models of multiple-site fatigue crack. Probabilist. Engrg. Mech. 2001, 16:355-361.
15. Enevoldsen I., Sørensen J. Reliability-based optimization in structural engineering. Struct. Saf. 1994, 15(3):169-196.
16. Wirsching P., Ortiz K. Optimal economic strategies with considerations of reliability of fatigue-sensitive structural systems. Struct. Saf. 1990, 7(2-4):199-206.
17. Kwon K., Frangopol D. Bridge fatigue assessment and management using reliability-based crack growth and probability of detection models. Probabilist. Engrg. Mech. 2011, 26(3):471-480.
18. Xiang Y., Liu Y. Application of inverse first-order reliability method for probabilistic fatigue life prediction. Probabilist. Engrg. Mech. 2011, 26(2):148-156.
19. Valdebenito M., Pradlwarter H., Schuëller G. The role of the design point for calculating failure probabilities in view of dimensionality and structural non linearities. Struct. Saf. 2010, 32(2):101-111.
20. Schuëller G., Stix R. A critical appraisal of methods to determine failure probabilities. Struct. Saf. 1987, 4:293-309.
21. Au S.-K., Beck J. Estimation of small failure probabilities in high dimensions by Subset Simulation. Probabilist. Engrg. Mech. 2001, 16(4):263-277.
22. Schuëller G.I., Pradlwarter H.J., Beck J., Au S., Katafygiotis L., Ghanem R. Benchmark study on reliability estimation in higher dimensions of structural systems - an overview. Structural Dynamics EURODYN 2005 - Proceedings of the 6th International Conference on Structural Dynamics 2005, 717-722. Millpress, Rotterdam, Paris, France. C. Soize, G.I. Schuëller (Eds.).
23. Valdebenito M., Schuëller G. Design of maintenance schedules for fatigue-prone metallic components using reliability-based optimization. Comput. Methods Appl. Mech. Engrg. 2010, 199:2305-2318.
24. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 1987, 54:525-531.
25. Nguyen O., Repetto E., Ortiz M., Radovtzky R. A cohesive model of fatigue crack growth. Int. J. Fracture 2001, 110:351-369.
26. De Borst R., Remmers J., Needleman A. Mesh-independent discrete numerical representations of cohesive-zone models. Engrg. Fract. Mech. 2005, 73:160-177.
27. Koutsourelakis P., Kuntiyawichai K., Schuëller G. Effect of material uncertainties on fatigue life calculations of aircraft fuselages: a cohesive element model. Engrg. Fract. Mech. 2006, 73:1202-1219.
28. Beaurepaire P., Schuëller G. Modeling of the variability of fatigue crack growth using cohesive zone elements. Engrg. Fract. Mech. 2011, 78(12):2399-2413.
29. Liao M. Probabilistic modeling of fatigue related microstructural parameters in aluminum alloys. Engrg. Fract. Mech. 2009, 76:668-680.
30. Pook L. Metal Fatigue 2007, Springer.
31. Laz P.J., Craig B.A., Hillberry B.M. A probabilistic total fatigue life model incorporating material inhomogeneities, stress level and fracture mechanics. Int. J. Fatigue 2001, 23(1):119-127.
32. Paris P., Erdogan F. A critical analysis of crack propagation laws. J. Basic Engrg. Trans. ASME 1963, 85:528-534.
33. Forman R., Kearney V., Engle R. Numerical analysis of crack propagation in cyclic-loaded structure. J. Basic Engrg. 1968, 89:459-464.
34. Wheeler O. Spectrum loading and crack growth. J. Basic Engrg. 1972, 94:351-369.
35. Moës N., Dolbow J., Belytschko T. A finite element method for crack growth without remeshing. Int. J. Numer. Methods Engrg. 1999, 46:131-150.
36. Zi G., Song J., Budyn E., Belytschko T. A method for growing multiple cracks without remeshing and its application to fatigue crack growth. Model. Simul. Mater. Sci. Engrg. 2004, 12:901-915.
37. Dugdale D. Yielding of steel sheets containing slits. J. Mech. Phys. Solids 1960, 8:100-108.
38. Barenblatt G. The mathematical theory of equilibrium of cracks in brittle fracture. Adv. Appl. Mech. 1962, 7:55-129.
39. Zheng R., Ellingwood B.R. Role of non-destructive evaluation in time-dependent reliability analysis. Struct. Saf. 1998, 20(4):325-339.
40. Skjong R., Torhaug R. Rational methods for fatigue design and inspection planning of offshore structures. Mar. Struct. 1991, 4(4):381-406.
41. Berens A. NDE reliability analysis. Metal Handbook 1989, vol. 17:689-701. ASM International.
42. P. Georgsson, The determination of uncertainties in fatigue crack growth measurement, Manual of Codes of Practice for the Determination of Uncertainties in Mechanical Tests on Metallic Materials, Standards Measurement & Testing Programme, Issue 1, 2000.
43. Bhaduri A., Gill T., Albert S., Shanmugam K., Iyer D. Repair welding of cracked steam turbine blades using austenitic and martensitic stainless-steel consumables. Nucl. Engrg. Des. 2001, 206(2-3):249-259.
44. Seo D.-C., Lee J.-J. Fatigue crack growth behavior of cracked aluminum plate repaired with composite patch. Compos. Struct. 2002, 57(1-4):323-330.
45. Liu W.K., Chen Y., Belytschko T., Lua Y.J. Three reliability methods for fatigue crack growth. Engrg. Fract. Mech. 1996, 53(5):733-752.
46. Vanmarcke E. Matrix formulation of reliability analysis and reliability-based design. Comput. Struct. 1973, 3(4):757-770.
47. Moses F., Kinser D. Optimum structural design with failure probability constraints. AIAA J. 1967, 5(6):1152-1158.
48. Freudenthal A. Safety and the probability of structural failure. Trans. ASCE 1956, 121:1337-1397. Proceeding Paper 2843.
49. Roe K., Siegmund T. An irreversible cohesive zone model for interface fatigue crack growth simulation. Engrg. Fract. Mech. 2003, 70(2):209-232.
50. Yang B., Mall S., Ravi-Chandar K. A cohesive zone model for fatigue crack growth in quasibrittle materials. Int. J. Solids Struct. 2001, 38(22-23):3927-3944.
51. Maiti S., Geubelle P.H. A cohesive model for fatigue failure of polymers. Engrg. Fract. Mech. 2005, 72(5):691-708.
52. Lemaitre J., Chaboche J.-L. Aspect phenomenologique de la rupture par endommagement. J. Mec. Appl. 1978, 2(3):318-365.
53. Y. Xu, H. Yuan, On damage accumulations in the cyclic cohesive zone model for XFEM analysis of mixed-mode fatigue crack growth, in: Proceedings of the 18th International Workshop on Computational Mechanics of Materials - IWCMM-18, 2009, Comput. Mater. Sci. 46(3) (2009) 579-585.
54. Jiang H., Gao X., Srivatsan T. Predicting the influence of overload and loading mode on fatigue crack growth: a numerical approach using irreversible cohesive elements. Finite Elem. Anal. Des. 2009, 45(10):675-685.
55. Bouvard J., Chaboche J., Feyel F., Gallerneau F. A cohesive zone model for fatigue and creep fatigue crack growth in single crystal superalloys. Int. J. Fatigue 2009, 31:868-879.
56. Voce E. The relationship between stress and strain for homogeneous deformation. J. Inst. Metals 1948, 74:537-562.
57. W.M. Johnston, Influence of crack-tip configurations on the fracture response of 0.04-inch thick 2024-t3 aluminum alloy sheet, Technical report, NASA/CR-2002-211442, Analytical Services and Materials Inc., Hampton, Virginia, 2002.
58. Jha S., Larsen J., Rosenberger A. Towards a physics-based description of fatigue variability behavior in probabilistic life-prediction. Engrg. Fract. Mech. 2009, 76:681-694.
59. Kala Z. Sensitivity analysis of fatigue behaviour of steel structure under in-plane bending. Nonlinear Anal. Model. Control 2006, 11(1):33-45.
60. A. de Andres, J. Fernandez Alcazar, O. Lopez Garcia, On the use of cohesive interface elements in fracture and fatigue, in: Fifth World Congress on Computational Mechanics (WCCM V), 2002.
61. Myers R., Montgomery D. Response Surface Methodology 1995, John Wiley and Sons, Inc., New York.
62. Rasmussen C., Williams C. Gaussian Processes for Machine Learning 2006, The MIT Press.
63. Stein M. Statistical Interpolation of Spatial Data: Some Theory for Kriging 1999, Springer, New York.
64. Bucher C., Bourgund U. A fast and efficient response surface approach for structural reliability problems. J. Struct. Saf. 1990, 7(1):57-66.
65. Lawson C., Hanson R. Solving Least Squares Problems 1974, Prentice-Hall, Englewood Cliffs, NJ.
66. Valdebenito M., Schuëller G. Efficient strategies for reliability-based optimization involving non linear, dynamical structures. Comput. Struct. 2011, 89:1797-1811.
67. Gasser M., Schuëller G.I. Reliability-based optimization of structural systems. Math. Methods Oper. Res. 1997, 46:287-307.
68. Kanda J., Ellingwood B. Formulation of load factors based on optimum reliability. Struct. Saf. 1991, 9(3):197-210.
69. Lind N.C. Approximate analysis and economics of structures. J. Struct. Div. 1976, 102(6):1177-1196.
70. Murthy P., Subramanian G. Minimum weight analysis based on structural reliability. AIAA J. 1968, 6(10):2037-2039.
71. Arora J. Introduction to Optimum Design 1989, McGraw-Hill International Editions.
72. Haftka R., Gürdal Z. Elements of Structural Optimization 1992, Kluwer. third ed.
73. Belegundu A., Chandrupatla T. Optimization Concepts and Applications in Engineering 1999, Prentice Hall, Upper Saddle River, New Jersey.
74. Bonnans J.F., Gilbert J., Lemaréchal C., Sagastizábal C. Numerical Optimization 2003, Springer-Verlag.
75. van Keulen F., Vervenne K. Gradient-enhanced response surface building. Struct. Multidiscip. Optimiz. 2004, 27:337-351.
76. Jensen H., Valdebenito M., Schuëller G., Kusanovic D. Reliability-based optimization of stochastic systems using line search. Comput. Methods Appl. Mech. Engrg. 2009, 198(49-52):3915-3924.
77. Proppe C., Schuëller G.I. Effects of uncertainties on lifetime prediction of aircraft components. Proceedings of the First M.I.T. Conference on Computational Fluid and Solid Mechanics 2001, 425-428. Elsevier, M.I.T., Cambridge, MA, USA. K. Bathe (Ed.).
78. Schellekens J., De Borst R. On the numerical integration of interface elements. Int. J. Numer. Methods Engrg. 1993, 36(1):43-66.
79. R. Taylor, FEAP - A Finite Element Analysis Program, UC Berkeley, version 7.5 Edition, February 2005.
80. Koshal R. Application of the method of maximum likelihood to the improvement of curve fitting by the method of moments. J. R. Stat. Soc. Ser. A 1993, 96:303-313.
81. Au S.-K. Augmenting approximate solutions for consistent reliability analysis. Probabilist. Engrg. Mech. 2007, 22(1):77-87.
82. Bourinet J.-M., Deheeger F., Lemaire M. Assessing small failure probabilities by combined Subset Simulation and support vector machines. Struct. Saf. 2011, 33(6):343-353.
83. Grooteman F. A stochastic approach to determine lifetimes and inspection schemes for aircraft components. Int. J. Fatigue 2008, 30(1):138-149.