A time-variant reliability approach applied to corroded naval structures with non-linear behaviour
DOI:
https://doi.org/10.13052/REMN.17.893-905Keywords:
time-variant reliability, stochastic load, non-linear simulations, finite element, corrosionAbstract
As corrosion effects can lead to catastrophic consequences in naval structures, methods to take it into account are a source of concern. Its variability in time and space, in addition to the consideration of random and temporal character of material behaviours, environmental conditions and loads, requires adapted strategies from mechanical and reliability points of view. In this paper, we propose a 2D non-linear finite element mechanical approach modelling local decreases of the safe thickness of the structure, avoiding successive re-meshing. A time-variant reliability analysis of a corroded plate submitted to a stochastic load is carried out to validate the propounded strategy. The reliability analyses are posttreated in a time-variant way by the PHI2 method, whose two existing formulations are compared in terms of stability and convergence speed.
Downloads
References
Andrieu-Renaud C., Sudret B., Lemaire M., “The PHI2 method: A way to compute timevariant
reliability”, Reliability Engineering and System Safety, vol. 84, 2004, p. 75-86.
CAST3M®, Cast3m: Documentation, EUROSIM/CEA SEMT, 2004.
Cazuguel M., Renaud C., Cognard J.Y., “Time-variant reliability of non-linear structures:
Application to a representative part of a plate floor”, Quality and Reliability Engineering
(special issue: Maritime Risk Modelling and Decision Making), vol. 22, 2006, p. 101-118.
Cognard J.Y., Poulhalec A., Thomas F., Verpeaux P., “A parallel environment and associated
strategies in structural non-linear analysis”, Progress In Engineering Computational
Technology, Eds. B.H.V. Topping & C.A. Mota Soares, Saxe-Coburg Publications, 2004,
Chapter 14, p. 323-352.
Dunbar T. E., Pegg N., Tahery F. “A computational investigation of the effects of localized
corrosion on plates and stiffened panels”, Marine Structures, vol. 17, 2004, p. 385-402.
Guedes Soares C., Garbatov Y., “Reliability of maintained, corrosion protected plates
subjected to non-linear corrosion and compressive loads”, Marine Structures, vol. 12,
, p. 425-445.
Li C.C., Der Kiureghian A., “Optimal discretization of random fields”, Journal of
Engineering Mechanics, vol. 119 n° 6, 1993, p. 1136-1154.
Ouglova A., Raharinaivo A., Berthaud Y., Petre-Lazar I., Boukhenfouf H., “Numerical
simulation of potential distribution due to the corrosion of reinforcement in concrete
structures”, Materials and Structures, vol. 38, n° 281, 2005, p. 711-720.
Paik J.K., Lee J.M., Park Y., Hwang J.S., Kim C.W., “Time-variant ultimate longitudinal
strength of corroded bulk carriers”, Marine Structures, vol. 16, 2003, p. 567-600.
PHIMECA® Engineering S.A., PHIMECA Software Version 2.5 User’s Manual, 2005.
Sudret B., “Analytical derivation of the outcrossing rate in time-variant reliability problems.
Reliability and Optimization of Structural Systems”, 12th WG 7.5 IFIP Conference, 2005,
Aalborg, Denmark.
Sudret B., Der Kiureghan A., Stochastic Finite Element Methods and Reliability. A State-ofthe-
Art Report, Report No. UCB/SEMM-2000/08, 2000, University of California,
Berkeley. http://www.ce.berkeley.edu/FERUM/User_s_Guide/user_s_guide.html
