Risk Analysis of Fatigue-Induced Sequential Failures by Branch-and-Bound Method Employing System Reliability Bounds

Various types of structural systems are often subjected to the risk of fatigue-induced failures. If a structure does not have an adequate level of structural redundancy, local failures may initiate sequential failures and cause exceedingly large damage. For the risk-informed design and maintenance of such structural systems, it is thus essential to quantify the risk of fatigue-induced sequential failure. However, such risk analysis is often computationally intractable because one needs to explore innumerable failure sequences, each of which demands component and system reliability analyses in conjunction with structural analyses to account for various uncertainties and the effect of load redistributions. To overcome this computational challenge, many research efforts have been made to identify critical failure sequences with the highest likelihood and to quantify the overall risk by system reliability analysis based on the identified sequences. One of the most widely used approaches is the so-called “bran...

[1]  R. Rackwitz,et al.  First-order concepts in system reliability , 1982 .

[2]  Ove Ditlevsen,et al.  Plastic Reliability Analysis By Directional Simulation , 1989 .

[3]  Junho Song,et al.  System reliability and sensitivity under statistical dependence by matrix-based system reliability method , 2009 .

[4]  Torgeir Moan,et al.  RELIABILITY-BASED FATIGUE DESIGN CRITERIA FOR OFFSHORE STRUCTURES CONSIDERING THE EFFECT OF INSPECTION AND REPAIR , 1993 .

[5]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[6]  Ashok Kumar,et al.  Fatigue Failure Paths for Offshore Platform Inspection , 1990 .

[7]  Torgeir Moan,et al.  Fatigue reliability-based assessment of welded joints applying consistent fracture mechanics formulations , 2007 .

[8]  Mahesh D. Pandey,et al.  An effective approximation to evaluate multinormal integrals , 1998 .

[9]  Jan Inge Dalane,et al.  Systems Reliability Approach to Fatigue of Structures , 1992 .

[10]  H. R. Millwater,et al.  PROBABILISTIC STRUCTURAL ANALYSIS OF FATIGUE AND FRACTURE , 1994 .

[11]  Yoshisada Murotsu,et al.  Automatic Generation of Stochastically Dominant Modes of Structural Failure in Frame Structure , 1982 .

[12]  A. Genz.  Numerical Computation of Multivariate Normal Probabilities , 1992 .

[13]  Torgeir Moan,et al.  Reliability-based assessment of deteriorating ship structures operating in multiple sea loading climates , 2008, Reliab. Eng. Syst. Saf..

[14]  Torgeir Moan,et al.  Implications of Inspection Updating on System Fatigue Reliability of Offshore Structures , 2000 .

[15]  Junho Song,et al.  Bounds on System Reliability by Linear Programming , 2003 .

[16]  H. Daniels.  The statistical theory of the strength of bundles of threads. I , 1945, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  Robert E. Melchers,et al.  Structural system reliability assessment using directional simulation , 1994 .

[18]  U Abel,et al.  Chemotherapy of advanced epithelial cancer--a critical review. , 1992, Biomedicine & pharmacotherapy = Biomedecine & pharmacotherapie.

[19]  Chunguang Wang,et al.  A New Method for System Fatigue Reliability Analysis of Offshore Steel Jacket , 2006 .

[20]  Finn Kirkemo,et al.  Applications of Probabilistic Fracture Mechanics to Offshore Structures , 1988 .

[21]  Yoshisada Murotsu,et al.  Automatic generation of stochastically dominant failure modes of frame structures , 1984 .

[22]  Efstratios Nikolaidis,et al.  First- and Second-Order Reliability Methods , 2004 .

[23]  Junho Song,et al.  Evaluation of multivariate normal integrals for general systems by sequential compounding , 2010 .

[24]  Junho Song,et al.  Identification of Critical Sequences of Fatigue-Induced Failures by Branch-and-Bound Method Employing System Reliability Bounds , 2010 .

[25]  N Nordenstrom,et al.  SAFETY OF OFFSHORE STRUCTURES , 1985 .

[26]  Bora Gencturk,et al.  Further development of matrix-based system reliability method and applications to structural systems , 2012 .

[27]  Toula Onoufriou,et al.  Reliability-based importance assessment of structural members with applications to complex structures , 2002 .

[28]  Fred Moses,et al.  System reliability developments in structural engineering , 1982 .

[29]  A. Der Kiureghian,et al.  Multinormal probability by sequential conditioned importance sampling : theory and application , 1998 .

[30]  Jan Inge Dalane,et al.  Systems reliability of offshore structures including fatigue and extreme wave loading , 1991 .

[31]  Robert E. Melchers,et al.  Dominant failure modes in stochastic structural systems , 1984 .

[32]  A. Almar-Næss.  Fatigue handbook : offshore steel structures , 1985 .

[33]  James C. Newman,et al.  An empirical stress-intensity factor equation for the surface crack , 1981 .