A dimensional decomposition method for stochastic fracture mechanics

Engineering Fracture Mechanics

Volumn 73, Issue 15, 2006, Pages 2093-2109

  Rahman, Sharif ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Bivariate decomposition; Decomposition method; Probability density of J integral; Probability of fracture initiation; Univariate decomposition

Indexed keywords

COMPUTER SIMULATION; CRACKS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; STRESSES; STRUCTURAL LOADS;

BIVARIATE DECOMPOSITION; DECOMPOSITION METHOD; PROBABILITY OF FRACTURE INITIATION; UNIVARIATE DECOMPOSITION;

FRACTURE MECHANICS;

COMPUTER SIMULATION; CRACKS; FRACTURE MECHANICS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; STRESSES; STRUCTURAL LOADS;

EID: 33746814863     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.04.010     Document Type: Article

References (19)

1. Madsen H.O., Krenk S., and Lind N.C. Methods of structural safety (1986), Prentice-Hall, Inc., Englewood Cliffs, NJ
2. Rackwitz R. Reliability analysis - a review and some perspectives. Struct Safety 23 4 (2001) 365-395
3. Ditlevsen O., and Madsen H.O. Structural reliability methods (1996), John Wiley & Sons Ltd., Chichester
4. Rubinstein R.Y. Simulation and the Monte Carlo method (1981), John Wiley & Sons, New York
5. Niederreiter H., and Spanier J. Monte Carlo and quasi-Monte Carlo methods (2000), Springer-Verlag, Berlin
6. Melchers R.E. Importance sampling in structural systems. Struct Saf 6 (1989) 3-10
7. Chen G., Rahman S., and Park Y.H. Shape sensitivity analysis in mixed-mode fracture mechanics. Comput Mech 27 4 (2001) 282-291
8. Chen G., Rahman S., and Park Y.H. Shape sensitivity and reliability analyses of linear-elastic cracked structures. Int J Fract 112 3 (2001) 223-246
9. Rahman S., and Chen G. Continuum shape sensitivity and reliability analyses of nonlinear cracked structures. Int J Fract 131 2 (2005) 189-209
10. Rahman S. A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending. Engng Fract Mech 52 2 (1995) 265-288
11. Xu H., and Rahman S. Decomposition methods for structural reliability analysis. Probabilis Engng Mech 20 (2005) 239-250
12. Sobol I.M. Theorems and examples on high dimensional model representations. Reliab Engng Syst Saf 79 (2003) 187-193
13. Rabitz H., Alis O.F., Shorter J., and Shim K. Efficient input-output model representation. Comput Phys Commun 117 (1999) 11-20
14. Xu H., and Rahman S. A generalized dimension-reduction method for multi-dimensional integration in stochastic mechanics. Int J Numer Methods Engng 61 (2004) 1992-2019
15. Rao B.N., and Rahman S. Meshfree analysis of cracks in isotropic functionally graded materials. Engng Fract Mech 70 1 (2003) 1-27
16. Anderson T.L. Fracture mechanics: fundamentals and applications. second ed. (1995), CRC Press Inc., Boca Raton, Florida
17. ABAQUS, User's guide and theoretical manual, version 6.5, Hibbitt, Karlsson, and Sorenson, Inc., Pawtucket, RI, 2005.
18. Rahman S, Ghadiali N, Paul D, Wilkowski G. Probabilistic pipe fracture evaluations for leak-rate-detection applications. Topical report, NUREG/CR-6004, US Nuclear Regulatory Commission, Washington, DC, April 1995.
19. Rahman S. Probabilistic fracture mechanics: J-estimation and finite element methods. Engng Fract Mech 68 (2000) 107-125