Three reliability methods for fatigue crack growth

Engineering Fracture Mechanics

Volumn 53, Issue 5, 1996, Pages 733-752

  Liu, Wing Kam ^a   Chen, Yijung ^a   Belytschko, Ted ^a   Lua, Yuan Jie ^b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b APPLIED RESEARCH ASSOCIATES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; FATIGUE OF MATERIALS; INTEGRAL EQUATIONS; LAGRANGE MULTIPLIERS; MONTE CARLO METHODS; PROBABILITY; RELIABILITY; SAMPLING;

FIRST ORDER RELIABILITY METHOD (FORM); LAGRANGE MULTIPLIER FORMULATION; PSEUDO EXACT SAMPLING TECHNIQUES; TOTAL DERIVATIVE METHOD;

CRACK PROPAGATION;

CRACK GROWTH; FATIGUE CRACKS; RELIABILITY;

EID: 0030109522     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/0013-7944(95)00133-6     Document Type: Article

References (26)

1. W. K. Liu and T. Belytschko, Computational Mechanics of Probabilistic and Reliability Analysis. Elme Press International (1989).
2. G. H. Besterfield, W. K. Liu, M. A. Lawrence and T. Belytschko, Brittle fracture reliability by probabilistic finite elements. J. Engng Mech. ASCE 116, 642-659 (1990).
3. Y. J. Lua, W. K. Liu and T. Belytschko, Curvilinear fatigue crack reliability analysis by stochastic boundary element method. Int. J. numer. Meth. Engng 36, 3841-3858 (1993).
4. Y. J. Lua, W. K. Liu and T. Belytschko, Elastic interaction of a fatigue crack with a micro-defect by the mixed boundary integral equation method. Int. J. numer. Meth. Engng 36, 2743-2759 (1993).
5. Y. J. Lua, W. K. Liu and T. Belytschko, A stochastic damage model for the rupture prediction of a multi-phase solid. Part II: statistical approach. Int. J. Fracture Mech. 55, 341-361 (1992).
6. W. K. Liu, G. H. Besterfield and T. Belytschko, Variational approach to probabilistic finite elements. J. Engng Mech. ASCE 114, 2115-2133 (1988).
7. W. K. Liu, G. H. Besterfield and T. Belytschko, Transient probabilistic systems. Comput. Mech. appl. Mech. Engng 67, 27-54 (1988).
8. W. K. Liu, T. Belytschko and A. Mani, Application of probabilistic finite element methods in elastic/plastic dynamics. ASME J. Engng Ind. 109, 2-8 (1987).
9. W. K. Liu, T. Belytschko and A. Mani, Random field finite elements. Int. J. numer. Meth. Engng 23, 1831-1845 (1986).
10. W. K. Liu, T. Belytschko and A. Mani, Probabilistic finite element methods for nonlinear structural dynamics. Comput. Meth. appl. Mech. Engng 56, 61-81 (1986).
11. H. H. Harkness, T. Belytschko and W. K. Liu, Finite-element reliability-analysis of fatigue life. Nuclear Engng Design 113, 314-320 (1992).
12. A. Der Kiureghian and B.-J. Ke, The stochastic finite element method in structural reliability. Probabilistic Engng Mech. 3, 83-91 (1988).
13. P.-L. Liu and A. Der Kiureghian, Finite element reliability of geometrically nonlinear uncertain structures. J. Engng Mech. ASCE 117, 1806-1825 (1991).
14. G. H. Besterfield, W. K. Liu, M. A. Lawrence and T. Belytschko, Fatigue crack growth reliability by probabilistic finite elements. Comput. Meth. appl. Mech. Engng 86, 297-320 (1991).
15. L. Faravelli, Response surface approach for reliability analysis. J. Engng Mech. ASME 115, 2763-2781 (1989).
16. L. Faravelli, A response surface approach for reliability analysis. RILEM Symp. Stoch. Meth. Mater. Struct. Engng (1986).
17. Y.-T. Wu, H. R. Millwater and T. A. Cruse, Advanced probabilistic structural analysis method for implicit performance functions. AIAA J. 28, 1663-1669 (1990).
18. T. A. Cruse, Y.-T. Wu, B. Dias and K. R. Rajagopal, Probabilistic structural analysis methods and applications. Comput. Structures 30, 163-170 (1988).
19. A. Der Kiureghian and P.-L. Liu, Optimization algorithms for structural reliability. ASME Computational Probabilistic Mechanics ADM-93, 185-196 (1988).
20. D. Broek, Elementary Engineering Fracture Mechanics. Martinus Nijhoff, 4th edn.
21. P. C. Paris and F. Erdogan, A critical analysis of crack propagation laws. ASME J. bas. Engng 85, 528-534 (1963).
22. H. J. Pradlwarter, A selective MC simulation technique for nonlinear structural reliability. Proc. ASCE, pp. 67-72. New York, U.S.A. (1992).
23. A. H.-S Ang and W. H. Tang, Probability Concepts in Engineering Planning and Design, Vol. II: Decision Risk and Reliability. John Wiley, New York, U.S.A.
24. P. Bjerager, Probability integration by directional simulation. J. Engng Mech. ASCE 114, 1285-1302 (1988).
25. C. G. Bucher, Adaptive sampling - an iterative fast Monte-Carlo procedure. Structural Safety 5, 119-126 (1988).
26. H. J. Pradlwarter, G. I. Schuëller and P. G. Melnik-Melnikov, Advances in reliability estimation of MDOF-systems. Proc. IUTAM-Symposium on Probabilistic Structural Mechanics: Advances in Structural Reliability Methods (Edited by P. D. Spanos and T. Wu), pp. 432-441. San Antonio, TX, U.S.A. (7-10 June 1993).