{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T18:49:01Z","timestamp":1778352541709,"version":"3.51.4"},"reference-count":69,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,2,8]],"date-time":"2020-02-08T00:00:00Z","timestamp":1581120000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,2,8]],"date-time":"2020-02-08T00:00:00Z","timestamp":1581120000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2021,10]]},"DOI":"10.1007\/s00366-020-00969-1","type":"journal-article","created":{"date-parts":[[2020,2,8]],"date-time":"2020-02-08T18:02:37Z","timestamp":1581184957000},"page":"2559-2573","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":38,"title":["Hybrid intelligent method for fuzzy reliability analysis of corroded X100 steel pipelines"],"prefix":"10.1007","volume":"37","author":[{"given":"Mansour","family":"Bagheri","sequence":"first","affiliation":[]},{"given":"Shun-Peng","family":"Zhu","sequence":"additional","affiliation":[]},{"given":"Mohamed El Amine","family":"Ben Seghier","sequence":"additional","affiliation":[]},{"given":"Behrooz","family":"Keshtegar","sequence":"additional","affiliation":[]},{"given":"Nguyen-Thoi","family":"Trung","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,2,8]]},"reference":[{"key":"969_CR1","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.corsci.2012.02.022","volume":"59","author":"L Xu","year":"2012","unstructured":"Xu L, Cheng Y (2012) An experimental investigation of corrosion of X100 pipeline steel under uniaxial elastic stress in a near-neutral pH solution. Corros Sci 59:103\u2013109","journal-title":"Corros Sci"},{"key":"969_CR2","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/j.corsci.2012.07.012","volume":"64","author":"L Xu","year":"2012","unstructured":"Xu L, Cheng Y (2012) Corrosion of X100 pipeline steel under plastic strain in a neutral pH bicarbonate solution. Corros Sci 64:145\u2013152","journal-title":"Corros Sci"},{"issue":"5","key":"969_CR3","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1016\/j.ijpvp.2007.11.001","volume":"85","author":"B Tanguy","year":"2008","unstructured":"Tanguy B, Luu TT, Perrin G, Pineau A, Besson J (2008) Plastic and damage behaviour of a high strength X100 pipeline steel: experiments and modelling. Int J Press Vessels Pip 85(5):322\u2013335","journal-title":"Int J Press Vessels Pip"},{"key":"969_CR4","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1016\/j.corsci.2018.08.040","volume":"143","author":"M Dai","year":"2018","unstructured":"Dai M, Liu J, Huang F, Zhang Y, Cheng YF (2018) Effect of cathodic protection potential fluctuations on pitting corrosion of X100 pipeline steel in acidic soil environment. Corros Sci 143:428\u2013437","journal-title":"Corros Sci"},{"issue":"1","key":"969_CR5","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.actamat.2006.08.037","volume":"55","author":"G Van Boven","year":"2007","unstructured":"Van Boven G, Chen W, Rogge R (2007) The role of residual stress in neutral pH stress corrosion cracking of pipeline steels. Part I: pitting and cracking occurrence. Acta Materialia 55(1):29\u201342","journal-title":"Acta Materialia"},{"key":"969_CR6","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/j.engfailanal.2018.02.016","volume":"89","author":"B Keshtegar","year":"2018","unstructured":"Keshtegar B, el Amine Ben Seghier M (2018) Modified response surface method basis harmony search to predict the burst pressure of corroded pipelines. Eng Fail Anal 89:177\u2013199. https:\/\/doi.org\/10.1016\/j.engfailanal.2018.02.016","journal-title":"Eng Fail Anal"},{"key":"969_CR7","doi-asserted-by":"publisher","first-page":"103986","DOI":"10.1016\/j.jlp.2019.103986","volume":"62","author":"B Keshtegar","year":"2019","unstructured":"Keshtegar B, Ben Seghier MEA, Zhu S-P, Abbassi R, Trung N-T (2019) Reliability analysis of corroded pipelines: novel adaptive conjugate first order reliability method. J Loss Prev Process Ind 62:103986. https:\/\/doi.org\/10.1016\/j.jlp.2019.103986","journal-title":"J Loss Prev Process Ind"},{"key":"969_CR8","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.ijpvp.2016.06.003","volume":"145","author":"C Lam","year":"2016","unstructured":"Lam C, Zhou W (2016) Statistical analyses of incidents on onshore gas transmission pipelines based on PHMSA database. Int J Press Vessels Pip 145:29\u201340","journal-title":"Int J Press Vessels Pip"},{"key":"969_CR9","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/j.engfailanal.2018.03.029","volume":"90","author":"MEA Ben Seghier","year":"2018","unstructured":"Ben Seghier MEA, Keshtegar B, Elahmoune B (2018) Reliability analysis of low, mid and high-grade strength corroded pipes based on plastic flow theory using adaptive nonlinear conjugate map. Eng Fail Anal 90:245\u2013261","journal-title":"Eng Fail Anal"},{"key":"969_CR10","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.engfailanal.2014.08.005","volume":"46","author":"B Keshtegar","year":"2014","unstructured":"Keshtegar B, Miri M (2014) Reliability analysis of corroded pipes using conjugate HL\u2013RF algorithm based on average shear stress yield criterion. Eng Fail Anal 46:104\u2013117","journal-title":"Eng Fail Anal"},{"issue":"10","key":"969_CR11","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/j.ijpvp.2010.07.011","volume":"87","author":"W Zhou","year":"2010","unstructured":"Zhou W (2010) System reliability of corroding pipelines. Int J Press Vessels Pip 87(10):587\u2013595","journal-title":"Int J Press Vessels Pip"},{"key":"969_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-019-00829-7","author":"S-P Zhu","year":"2019","unstructured":"Zhu S-P, Keshtegar B, Trung N-T, Yaseen ZM, Bui DT (2019) Reliability-based structural design optimization: hybridized conjugate mean value approach. Eng Comput. https:\/\/doi.org\/10.1007\/s00366-019-00829-7","journal-title":"Eng Comput"},{"key":"969_CR13","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1016\/j.engfailanal.2019.01.061","volume":"97","author":"M El Amine Ben Seghier","year":"2019","unstructured":"El Amine Ben Seghier M, Keshtegar B, Correia JAFO, Lesiuk G, De Jesus AMP (2019) Reliability analysis based on hybrid algorithm of M5 model tree and Monte Carlo simulation for corroded pipelines: case of study X60 Steel grade pipes. Eng Fail Anal 97:793\u2013803. https:\/\/doi.org\/10.1016\/j.engfailanal.2019.01.061","journal-title":"Eng Fail Anal"},{"issue":"6","key":"969_CR14","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1111\/ffe.12772","volume":"41","author":"S Zhu","year":"2018","unstructured":"Zhu S, Liu Q, Zhou J, Yu Z (2018) Fatigue reliability assessment of turbine discs under multi-source uncertainties. Fatigue Fract Eng Mater Struct 41(6):1291\u20131305","journal-title":"Fatigue Fract Eng Mater Struct"},{"key":"969_CR15","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1016\/j.cma.2018.05.009","volume":"339","author":"M Zeng","year":"2018","unstructured":"Zeng M, Zhou H (2018) New target performance approach for a super parametric convex model of non-probabilistic reliability-based design optimization. Comput Methods Appl Mech Eng 339:644\u2013662","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"969_CR16","doi-asserted-by":"crossref","first-page":"1195","DOI":"10.1007\/s12206-018-0223-8","volume":"32","author":"H Xu","year":"2018","unstructured":"Xu H, Li W, Li M, Hu C, Zhang S, Wang X (2018) Multidisciplinary robust design optimization based on time-varying sensitivity analysis. J Mech Sci Technol 32(3):1195\u20131207","journal-title":"J Mech Sci Technol"},{"key":"969_CR17","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1016\/j.apm.2019.09.045","volume":"78","author":"S-P Zhu","year":"2020","unstructured":"Zhu S-P, Hao Y-Z, Liao D (2020) Probabilistic modeling and simulation of multiple surface crack propagation and coalescence. Appl Math Model 78:383\u2013398. https:\/\/doi.org\/10.1016\/j.apm.2019.09.045","journal-title":"Appl Math Model"},{"key":"969_CR18","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1016\/j.ijmecsci.2018.04.050","volume":"142","author":"S-P Zhu","year":"2018","unstructured":"Zhu S-P, Liu Q, Peng W, Zhang X-C (2018) Computational-experimental approaches for fatigue reliability assessment of turbine bladed disks. Int J Mech Sci 142:502\u2013517","journal-title":"Int J Mech Sci"},{"key":"969_CR19","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1016\/j.cma.2016.10.047","volume":"315","author":"D Wu","year":"2017","unstructured":"Wu D, Gao W (2017) Hybrid uncertain static analysis with random and interval fields. Comput Methods Appl Mech Eng 315:222\u2013246","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"6","key":"969_CR20","doi-asserted-by":"publisher","first-page":"2077","DOI":"10.1007\/s00158-018-2176-z","volume":"59","author":"M Xiao","year":"2019","unstructured":"Xiao M, Zhang J, Gao L, Lee S, Eshghi AT (2019) An efficient Kriging-based subset simulation method for hybrid reliability analysis under random and interval variables with small failure probability. Struct Multidiscip Optim 59(6):2077\u20132092. https:\/\/doi.org\/10.1007\/s00158-018-2176-z","journal-title":"Struct Multidiscip Optim"},{"key":"969_CR21","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1016\/j.cma.2018.06.032","volume":"341","author":"J Zhang","year":"2018","unstructured":"Zhang J, Xiao M, Gao L, Fu J (2018) A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables. Comput Methods Appl Mech Eng 341:32\u201352. https:\/\/doi.org\/10.1016\/j.cma.2018.06.032","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"37","key":"969_CR22","doi-asserted-by":"crossref","first-page":"3980","DOI":"10.1016\/j.cma.2006.10.049","volume":"196","author":"J Helton","year":"2007","unstructured":"Helton J, Johnson J, Oberkampf W, Storlie CB (2007) A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory. Comput Methods Appl Mech Eng 196(37):3980\u20133998","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"4","key":"969_CR23","doi-asserted-by":"publisher","first-page":"1673","DOI":"10.1007\/s00158-018-1991-6","volume":"58","author":"J Zhang","year":"2018","unstructured":"Zhang J, Xiao M, Gao L, Qiu H, Yang Z (2018) An improved two-stage framework of evidence-based design optimization. Struct Multidiscip Optim 58(4):1673\u20131693. https:\/\/doi.org\/10.1007\/s00158-018-1991-6","journal-title":"Struct Multidiscip Optim"},{"issue":"1","key":"969_CR24","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1061\/(ASCE)1084-0680(2008)13:1(24)","volume":"13","author":"WM Bulleit","year":"2008","unstructured":"Bulleit WM (2008) Uncertainty in structural engineering. Pract Period Struct Des Constr 13(1):24\u201330","journal-title":"Pract Period Struct Des Constr"},{"key":"969_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cma.2019.05.041","volume":"355","author":"X Long","year":"2019","unstructured":"Long X, Mao D, Jiang C, Wei F, Li G (2019) Unified uncertainty analysis under probabilistic, evidence, fuzzy and interval uncertainties. Comput Methods Appl Mech Eng 355:1\u201326","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"4","key":"969_CR26","doi-asserted-by":"publisher","first-page":"1705","DOI":"10.1007\/s00158-018-1993-4","volume":"58","author":"S Yu","year":"2018","unstructured":"Yu S, Wang Z, Meng D (2018) Time-variant reliability assessment for multiple failure modes and temporal parameters. Struct Multidiscip Optim 58(4):1705\u20131717. https:\/\/doi.org\/10.1007\/s00158-018-1993-4","journal-title":"Struct Multidiscip Optim"},{"issue":"3","key":"969_CR27","first-page":"393","volume":"36","author":"W Yulong","year":"2014","unstructured":"Yulong W, Chao J (2014) A reliability analysis method for structures with hybrid probability-interval considering fuzzy uncertainty. J Mech Strength 36(3):393\u2013401","journal-title":"J Mech Strength"},{"issue":"4","key":"969_CR28","first-page":"653","volume":"33","author":"IM Aliev","year":"2004","unstructured":"Aliev IM, Kara Z (2004) Fuzzy system reliability analysis using time dependent fuzzy set. Control Cybern 33(4):653\u2013662","journal-title":"Control Cybern"},{"issue":"6","key":"969_CR29","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1016\/j.strusafe.2010.04.003","volume":"32","author":"M Zhang","year":"2010","unstructured":"Zhang M, Beer M, Quek S, Choo Y (2010) Comparison of uncertainty models in reliability analysis of offshore structures under marine corrosion. Struct Saf 32(6):425\u2013432","journal-title":"Struct Saf"},{"issue":"8","key":"969_CR30","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1016\/j.compstruc.2005.10.006","volume":"84","author":"B M\u00f6ller","year":"2006","unstructured":"M\u00f6ller B, Beer M, Graf W, Sickert J-U (2006) Time-dependent reliability of textile-strengthened RC structures under consideration of fuzzy randomness. Comput Struct 84(8):585\u2013603","journal-title":"Comput Struct"},{"issue":"9","key":"969_CR31","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1061\/(ASCE)0899-1561(2008)20:9(578)","volume":"20","author":"GC Marano","year":"2008","unstructured":"Marano GC, Quaranta G, Mezzina M (2008) Fuzzy time-dependent reliability analysis of RC beams subject to pitting corrosion. J Mater Civ Eng 20(9):578\u2013587","journal-title":"J Mater Civ Eng"},{"issue":"15","key":"969_CR32","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1016\/S0045-7949(03)00147-0","volume":"81","author":"B M\u00f6ller","year":"2003","unstructured":"M\u00f6ller B, Graf W, Beer M (2003) Safety assessment of structures in view of fuzzy randomness. Comput Struct 81(15):1567\u20131582","journal-title":"Comput Struct"},{"issue":"2","key":"969_CR33","first-page":"23","volume":"12","author":"M Bagheri","year":"2015","unstructured":"Bagheri M, Miri M, Shabakhty N (2015) Modeling of epistemic uncertainty in reliability analysis of structures using a robust genetic algorithm. Iran J Fuzzy Syst 12(2):23\u201340","journal-title":"Iran J Fuzzy Syst"},{"key":"969_CR34","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.cma.2018.10.003","volume":"344","author":"J Zhang","year":"2019","unstructured":"Zhang J, Xiao M, Gao L, Chu S (2019) A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities. Comput Methods Appl Mech Eng 344:13\u201333. https:\/\/doi.org\/10.1016\/j.cma.2018.10.003","journal-title":"Comput Methods Appl Mech Eng"},{"key":"969_CR35","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/j.compstruc.2012.10.012","volume":"116","author":"A Serafinska","year":"2013","unstructured":"Serafinska A, Kaliske M, Zopf C, Graf W (2013) A multi-objective optimization approach with consideration of fuzzy variables applied to structural tire design. Comput Struct 116:7\u201319","journal-title":"Comput Struct"},{"key":"969_CR36","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.compstruc.2012.11.011","volume":"124","author":"S Freitag","year":"2013","unstructured":"Freitag S, Graf W, Kaliske M (2013) A material description based on recurrent neural networks for fuzzy data and its application within the finite element method. Comput Struct 124:29\u201337","journal-title":"Comput Struct"},{"issue":"5","key":"969_CR37","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1016\/0045-7949(78)90046-9","volume":"9","author":"R Rackwitz","year":"1978","unstructured":"Rackwitz R, Flessler B (1978) Structural reliability under combined random load sequences. Comput Struct 9(5):489\u2013494","journal-title":"Comput Struct"},{"issue":"1","key":"969_CR38","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/s00158-018-2049-5","volume":"59","author":"H Liu","year":"2019","unstructured":"Liu H, Jiang C, Liu J, Mao J (2019) Uncertainty propagation analysis using sparse grid technique and saddlepoint approximation based on parameterized p-box representation. Struct Multidiscip Optim 59(1):61\u201374","journal-title":"Struct Multidiscip Optim"},{"issue":"5","key":"969_CR39","doi-asserted-by":"crossref","first-page":"2027","DOI":"10.1007\/s00158-018-1900-z","volume":"57","author":"M-Y Moon","year":"2018","unstructured":"Moon M-Y, Cho H, Choi K, Gaul N, Lamb D, Gorsich D (2018) Confidence-based reliability assessment considering limited numbers of both input and output test data. Struct Multidiscip Optim 57(5):2027\u20132043","journal-title":"Struct Multidiscip Optim"},{"key":"969_CR40","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.ress.2018.05.015","volume":"178","author":"B Keshtegar","year":"2018","unstructured":"Keshtegar B, Chakraborty S (2018) Dynamical accelerated performance measure approach for efficient reliability-based design optimization with highly nonlinear probabilistic constraints. Reliab Eng Syst Saf 178:69\u201383. https:\/\/doi.org\/10.1016\/j.ress.2018.05.015","journal-title":"Reliab Eng Syst Saf"},{"issue":"1","key":"969_CR41","doi-asserted-by":"crossref","first-page":"235","DOI":"10.3233\/IFS-151749","volume":"30","author":"M Bagheri","year":"2016","unstructured":"Bagheri M, Miri M, Shabakhty N (2016) Fuzzy reliability analysis using a new alpha level set optimization approach based on particle swarm optimization. J Intell Fuzzy Syst 30(1):235\u2013244","journal-title":"J Intell Fuzzy Syst"},{"key":"969_CR42","doi-asserted-by":"crossref","unstructured":"Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Micro machine and human science, 1995. MHS\u201995. Proceedings of the sixth international symposium on, 1995. IEEE, pp 39\u201343","DOI":"10.1109\/MHS.1995.494215"},{"key":"969_CR43","doi-asserted-by":"crossref","unstructured":"Veeramachaneni K, Peram T, Mohan C, Osadciw LA (2003) Optimization using particle swarms with near neighbor interactions. In: Genetic and evolutionary computation conference, 2003. Springer, pp 110\u2013121","DOI":"10.1007\/3-540-45105-6_10"},{"issue":"10","key":"969_CR44","first-page":"3903","volume":"9","author":"A Djoewahir","year":"2013","unstructured":"Djoewahir A, Tanaka K, Nakashima S (2013) Adaptive PSO-based self-tuning PID controller for ultrasonic motor. Int J Innov Comput Inf Control 9(10):3903\u20133914","journal-title":"Int J Innov Comput Inf Control"},{"key":"969_CR45","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.ress.2018.05.005","volume":"177","author":"Y Dong","year":"2018","unstructured":"Dong Y, Teixeira AP, Guedes Soares C (2018) Time-variant fatigue reliability assessment of welded joints based on the PHI2 and response surface methods. Reliab Eng Syst Saf 177:120\u2013130. https:\/\/doi.org\/10.1016\/j.ress.2018.05.005","journal-title":"Reliab Eng Syst Saf"},{"key":"969_CR46","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.cma.2018.10.009","volume":"344","author":"Z Meng","year":"2019","unstructured":"Meng Z, Keshtegar B (2019) Adaptive conjugate single-loop method for efficient reliability-based design and topology optimization. Comput Methods Appl Mech Eng 344:95\u2013119. https:\/\/doi.org\/10.1016\/j.cma.2018.10.009","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"10","key":"969_CR47","doi-asserted-by":"crossref","first-page":"3131","DOI":"10.1016\/j.cnsns.2009.10.018","volume":"15","author":"D Yang","year":"2010","unstructured":"Yang D (2010) Chaos control for numerical instability of first order reliability method. Commun Nonlinear Sci Numer Simul 15(10):3131\u20133141","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"969_CR48","doi-asserted-by":"crossref","first-page":"866","DOI":"10.1016\/j.cma.2016.07.046","volume":"310","author":"B Keshtegar","year":"2016","unstructured":"Keshtegar B (2016) Chaotic conjugate stability transformation method for structural reliability analysis. Comput Methods Appl Mech Eng 310:866\u2013885","journal-title":"Comput Methods Appl Mech Eng"},{"key":"969_CR49","doi-asserted-by":"publisher","first-page":"428","DOI":"10.1016\/j.apm.2019.06.022","volume":"76","author":"B Keshtegar","year":"2019","unstructured":"Keshtegar B, Zhu S-P (2019) Three-term conjugate approach for structural reliability analysis. Appl Math Model 76:428\u2013442. https:\/\/doi.org\/10.1016\/j.apm.2019.06.022","journal-title":"Appl Math Model"},{"key":"969_CR50","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/j.apm.2017.12.030","volume":"57","author":"B Keshtegar","year":"2018","unstructured":"Keshtegar B, Hao P (2018) Enriched self-adjusted performance measure approach for reliability-based design optimization of complex engineering problems. Appl Math Model 57:37\u201351. https:\/\/doi.org\/10.1016\/j.apm.2017.12.030","journal-title":"Appl Math Model"},{"issue":"2","key":"969_CR51","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1007\/s00158-016-1525-z","volume":"55","author":"Z Meng","year":"2017","unstructured":"Meng Z, Li G, Yang D, Zhan L (2017) A new directional stability transformation method of chaos control for first order reliability analysis. Struct Multidiscip Optim 55(2):601\u2013612","journal-title":"Struct Multidiscip Optim"},{"key":"969_CR52","doi-asserted-by":"publisher","first-page":"562","DOI":"10.1016\/j.apm.2018.06.018","volume":"62","author":"Z Meng","year":"2018","unstructured":"Meng Z, Zhou H, Hu H, Keshtegar B (2018) Enhanced sequential approximate programming using second order reliability method for accurate and efficient structural reliability-based design optimization. Appl Math Model 62:562\u2013579. https:\/\/doi.org\/10.1016\/j.apm.2018.06.018","journal-title":"Appl Math Model"},{"key":"969_CR53","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-00016-01525-z","author":"Z Meng","year":"2016","unstructured":"Meng Z, Li G, Yang D, Zhan L (2016) A new directional stability transformation method of chaos control for first order reliability analysis. Struct Multidiscip Optim. https:\/\/doi.org\/10.1007\/s00158-00016-01525-z","journal-title":"Struct Multidiscip Optim"},{"issue":"3","key":"969_CR54","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1007\/s00366-016-0481-y","volume":"33","author":"B Keshtegar","year":"2017","unstructured":"Keshtegar B, Ozbakkaloglu T, Gholampour A (2017) Modeling the behavior of FRP-confined concrete using dynamic harmony search algorithm. Eng Comput 33(3):415\u2013430","journal-title":"Eng Comput"},{"key":"969_CR55","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/j.ress.2018.06.027","volume":"180","author":"B Keshtegar","year":"2018","unstructured":"Keshtegar B, Kisi O (2018) RM5Tree: radial basis M5 model tree for accurate structural reliability analysis. Reliab Eng Syst Saf 180:49\u201361. https:\/\/doi.org\/10.1016\/j.ress.2018.06.027","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"969_CR56","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1007\/s00366-016-0493-7","volume":"33","author":"B Keshtegar","year":"2017","unstructured":"Keshtegar B (2017) Limited conjugate gradient method for structural reliability analysis. Eng Comput 33(3):621\u2013629","journal-title":"Eng Comput"},{"issue":"6","key":"969_CR57","doi-asserted-by":"crossref","first-page":"1439","DOI":"10.1007\/s00158-016-1561-8","volume":"54","author":"B Keshtegar","year":"2016","unstructured":"Keshtegar B, Lee I (2016) Relaxed performance measure approach for reliability-based design optimization. Struct Multidiscip Optim 54(6):1439\u20131454","journal-title":"Struct Multidiscip Optim"},{"key":"969_CR58","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1016\/j.apm.2017.09.017","volume":"53","author":"B Keshtegar","year":"2018","unstructured":"Keshtegar B, Chakraborty S (2018) A hybrid self-adaptive conjugate first order reliability method for robust structural reliability analysis. Appl Math Model 53:319\u2013332. https:\/\/doi.org\/10.1016\/j.apm.2017.09.017","journal-title":"Appl Math Model"},{"issue":"9","key":"969_CR59","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1016\/j.ijpvp.2006.06.001","volume":"83","author":"X-K Zhu","year":"2006","unstructured":"Zhu X-K, Leis BN (2006) Average shear stress yield criterion and its application to plastic collapse analysis of pipelines. Int J Press Vessels Pip 83(9):663\u2013671","journal-title":"Int J Press Vessels Pip"},{"issue":"4","key":"969_CR60","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1115\/1.2042481","volume":"127","author":"X-K Zhu","year":"2005","unstructured":"Zhu X-K, Leis BN (2005) Influence of yield-to-tensile strength ratio on failure assessment of corroded pipelines. J Press Vessel Technol 127(4):436\u2013442","journal-title":"J Press Vessel Technol"},{"key":"969_CR61","unstructured":"Anon A (1991) B31G\u2014manual for determining the remaining strength of corroded pipelines\u2014a supplement to ANSI\/ASME B31 code for pressure piping. American Society of Mechanical Engineers"},{"issue":"32","key":"969_CR62","first-page":"56","volume":"88","author":"JF Kiefner","year":"1990","unstructured":"Kiefner JF, Vieth PH (1990) Evaluating pipe 1: new method corrects criterion for evaluating corroded pipe. Oil Gas J 88(32):56\u201359","journal-title":"Oil Gas J"},{"key":"969_CR63","unstructured":"Bj\u00f8rn\u00f8y O, Sigurdsson G, Cramer E Residual strength of corroded pipelines, DNV test results. In: The tenth international offshore and polar engineering conference, 2000. International Society of Offshore and Polar Engineers"},{"key":"969_CR64","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.tws.2017.02.032","volume":"116","author":"Z Fan","year":"2017","unstructured":"Fan Z, Yu J, Sun Z, Wang H (2017) Effect of axial length parameters of ovality on the collapse pressure of offshore pipelines. Thin Walled Struct 116:19\u201325","journal-title":"Thin Walled Struct"},{"issue":"2","key":"969_CR65","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/S0308-0161(03)00005-X","volume":"80","author":"J Choi","year":"2003","unstructured":"Choi J, Goo B, Kim J, Kim Y, Kim W (2003) Development of limit load solutions for corroded gas pipelines. Int J Press Vessels Pip 80(2):121\u2013128","journal-title":"Int J Press Vessels Pip"},{"issue":"1","key":"969_CR66","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.apor.2009.12.007","volume":"32","author":"T Netto","year":"2010","unstructured":"Netto T (2010) A simple procedure for the prediction of the collapse pressure of pipelines with narrow and long corrosion defects\u2014correlation with new experimental data. Appl Ocean Res 32(1):132\u2013134","journal-title":"Appl Ocean Res"},{"issue":"4","key":"969_CR67","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.ijpvp.2007.09.002","volume":"85","author":"A Teixeira","year":"2008","unstructured":"Teixeira A, Soares CG, Netto T, Estefen S (2008) Reliability of pipelines with corrosion defects. Int J Press Vessels Pip 85(4):228\u2013237","journal-title":"Int J Press Vessels Pip"},{"key":"969_CR68","doi-asserted-by":"crossref","unstructured":"Orynyak I Leak and break models of ductile fracture of pressurized pipe with axial defects. In: 2006 international pipeline conference, 2006. American Society of Mechanical Engineers, pp 41\u201355","DOI":"10.1115\/IPC2006-10066"},{"key":"969_CR69","volume-title":"Fuzzy randomness: uncertainty in civil engineering and computational mechanics","author":"B M\u00f6ller","year":"2013","unstructured":"M\u00f6ller B, Beer M (2013) Fuzzy randomness: uncertainty in civil engineering and computational mechanics. Springer Science & Business Media, Berlin"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-020-00969-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00366-020-00969-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-020-00969-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,13]],"date-time":"2021-09-13T11:11:37Z","timestamp":1631531497000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00366-020-00969-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,8]]},"references-count":69,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,10]]}},"alternative-id":["969"],"URL":"https:\/\/doi.org\/10.1007\/s00366-020-00969-1","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,8]]},"assertion":[{"value":"15 December 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 January 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 February 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}