Review of the mathematical background to the development of realistic load histories for fatigue testing relevant to tubular structures in the North Sea
Corresponding Author
Les P. Pook
Formerly University College London, 21 Woodside Road, Sevenoaks, TN13 3HF UK
Correspondence
L. P. Pook, Formerly University College London, 21 Woodside Road, Sevenoaks TN13 3HF, UK.
Email: [email protected]
Search for more papers by this authorCorresponding Author
Les P. Pook
Formerly University College London, 21 Woodside Road, Sevenoaks, TN13 3HF UK
Correspondence
L. P. Pook, Formerly University College London, 21 Woodside Road, Sevenoaks TN13 3HF, UK.
Email: [email protected]
Search for more papers by this authorAbstract
Following the discovery of oil and gas, fixed welded tubular steel platforms were first installed in the North Sea in 1966. They are subjected to significant fatigue loads due to wave action. A report on proposed standard load histories was published in 1976. These were based on theoretical calculations. In 1979, increasing interest led to the formation of the Wave Action Standards History (WASH) Working Group. Strain gauge data for platforms in the North Sea were made available to the Working Group so later standard load histories were based on service data rather than theoretical calculations. Mathematical techniques used are reviewed, and some load histories are described as case studies. A framework was developed that could be used to formulate a particular standard load history but left open the option of incorporating alternative features, with relatively little additional work.
REFERENCES
- 1Pook LP. Some Factors Affecting Wave Loading of Tubular Members. NEL Report 712. UK: National Engineering Laboratory; 1987.
- 2Crisp HG. Description of UK Offshore Steels Research Project: objectives and current progress. MAP 015G(1)/20-2. UK: Department of Energy; 1974.
- 3 Anon. 8th Offshore Technology Conference, Houston 1976. USA: American Institute of Mining, Metallurgical and Petroleum Engineers; 1976.
- 4 Anon. Offshore Structures. In: Proceedings of the Conference held in London October 1974. UK: Institution of Civil Engineers; 1975.
- 5Schütz W. Standardized stress-time histories—an overview. In: RT Watanabe, JM Potter, eds. Development of Fatigue Loading Spectra. ASTM STP 1006. Philadelphia, PA: American Society for Testing and Materials; 1989: 3-16.
10.1520/STP10346S Google Scholar
- 6Pook LP. Metal Fatigue: What It Is, Why It Matters. Dordrecht: Springer; 2007.
- 7Pook LP, Dover WD. Progress in the development of a Wave Action Standard History (WASH) for fatigue testing relevant to tubular structures in the North Sea. In: RT Watanabe, JM Potter, eds. Development of Fatigue Loading Spectra. ASTM STP 1006. Philadelphia, PA: American Society for Testing and Materials; 1989: 99-120.
10.1520/STP10351S Google Scholar
- 8Aicher W, Branger J, Van Dijk G. M, et al. Description of a fighter aircraft loading standard for fatigue evacuation. ‘FALSTAFF’ Common Report of F & V Emmen, LBF, NLR, IABG, Germany: 1976.
- 9Sherratt F, Edwards PR. The use of small on-line computers for random loading fatigue testing and analysis. J Soc Env Engrs. 1974; 14: 3-14.
- 10Pook LP. Proposed Standard Load Histories for Fatigue Testing Relevant to Offshore Structures. NEL Report 624. UK: National Engineering Laboratory; 1976.
- 11Pook LP. An approach to practical load histories for fatigue testing relevant to offshore structures. J Soc Env Eng. 1978; 17(1): 22-35.
- 12Dover WD, Pook LP. Standardised Load History for Offshore Structures. Final Report. UK: University College London; 1986.
- 13Pook LP. The Role of Crack Growth in Metal Fatigue. UK: Metals Society; 1983.
- 14Pook LP. Use of computers in the development of offshore related load histories. Extended abstract: Proceedings of 11th International Conference on Fracture. Turin: 2005: on CD.
- 15Gumbel EJ. Statistics of Extremes. New York: Columbia University Press; 1958.
10.7312/gumb92958 Google Scholar
- 16Frost NE, Marsh KJ, Pook LP. Metal Fatigue. Oxford: Clarendon Press; 1974 Reprinted with minor corrections. Mineola, NY: Dover Publications Inc; 1999.
- 17Pook LP, Kam JCP. A flexible simulation framework for wave loading of offshore structures. In: D Firrao, ed. Fracture Behaviour and Design of Materials and structures. Proceedings of 8th Biennial European Conference on Fracture, Turin 1–5 October 1990. Vol III. Warley, West Midlands: Engineering Materials Advisory Services Ltd; 1990: 1420-1426.
- 18Pook LP. Fatigue crack propagation. In: GG Chell, ed. Developments in Fracture Mechanics—I. London: Applied Science Publishers Ltd; 1979: 183-220.
- 19Pook LP. Random Load Fatigue and R. M. S. NEL Report 711. East Kilbride, Glasgow: National Engineering Laboratory; 1987.
- 20Bendat JS, Piersol AG. Random Data: Analysis and Measurement Procedures. New York: Wiley-Interscience; 1971.
- 21Bendat JS, Piersol AG. Random Data: Analysis and Measurement Procedures. Third ed. New York: John Wiley and Sons, Inc; 2000.
- 22Paris PC. The growth of cracks due to variations in load. PhD Thesis. Lehigh University; 1962.
- 23Cartwright DE, Longuet-Higgins MS. The statistical distribution of the maxima of a random function. Proc R Soc A. 1956; 237: 212-232.
- 24Norris JR. Markov Chains. Cambridge: Cambridge University Press; 1997.
10.1017/CBO9780511810633 Google Scholar
- 25Pook LP. Spectral density functions and the development of wave action standard history (WASH) load histories. Int J Fatigue. 1989; 11(4): 221-232.
- 26Patel MH, Witz JA. Compliant Offshore Structures. Oxford: Butterworth-Heinemann; 1991.
- 27Pook LP. Understanding pendulums. In: A Brief Introduction. Dordrecht: Springer; 2011.
10.1007/978-94-007-1415-1 Google Scholar
- 28Sonsino CM, Klätschke H, Schütz W, Hück M. Standardised load sequence for offshore structures. (Wave Action Standard History)—WASH 1. LBF-Report No. FB-181. IABG-Report No. TF-2347. Germany; 1988.
- 29Abramowitz M. Handbook of Mathematical Functions. Washington, DC: National Bureau of Standards; 1972.
- 30 Anon. Programs for Digital Signal Processing. New York: The Institute of Electrical and Electronic Engineers; 1979.
- 31Kirkby WT, Edwards PR. A Method of Fatigue Life Prediction Using Data Obtained Under Random Loading Conditions. RAE TR No 66023. Farnborough, Hants: Royal Aircraft Establishment; 1966.
- 32Schütz W. The prediction of fatigue life in the crack initiation and propagation stages—a state of the art survey. Eng Fract Mech. 1979; 11(2): 405-421.
- 33Palmgren A. Die Lebensdauer von Kugellagern (The durability of ball bearings). Verein Deutscher Ingenieure. 1924; 68: 339-341.
- 34Langer BF. Fatigue failure from stress cycles of varying amplitude. J Appl Mech. 1937; 59: A160-A162.
10.1115/1.4008807 Google Scholar
- 35Miner MA. Cumulative damage in fatigue. J Appl Mech. 1945; 12: A159-A164.
- 36Pook LP. The Effect of Mean Stress on Fatigue-Crack Growth in Cruciform-Welded Joints Under Non-Stationary Narrow-Band Random Loading. NEL Report 690. UK: National Engineering Laboratory; 1983.
- 37Troughton AJ. Relationship between theory and practice in aircraft structural problems. J Roy Aero Soc. 1960; 64(599): 653-667.
10.1017/S0368393100073636 Google Scholar
- 38Gurney TR. Fatigue of Welded Structures. Second ed. UK: Cambridge University Press; 1979.
- 39Pook LP. Fracture Mechanics Analysis of the Fatigue Behaviour of Welded Joints. NEL Report 561. UK: National Engineering Laboratory; 1974.
- 40Pook LP. Fracture mechanics analysis of the fatigue behaviour of welded joints. Welding Res Int. 1974; 4: 1-24.
- 41Pook LP. Basic Statistics of Fatigue Crack Growth. NEL Report 595. UK: National Engineering Laboratory; 1975.
- 42Pook LP. Basic statistics of fatigue crack growth. J Soc Env Eng. 1976; 15-4: 3-8.
- 43Heywood RB. Designing Against Fatigue. UK: Chapman and Hall; 1962.
- 44Holmes P, Tickell RG. The Long Term Probability Distribution of Peak Wave Induced Loads on Structural Sections. Report MCE/NOV/74. UK: Liverpool University; 1974.
- 45 Anon. The Common Load Sequence for fatigue evaluation of Offshore Structures. Background and Generation. IABG Report TF-1892. Germany: Industrieanlagen-Betriebsgesellschaft GmbH; 1985.
- 46Schütz W, Pook LP. WASH (Wave Action Standard History). A standardized stress-time history for offshore structures. In: C Noordhoek, J Back, eds. Developments in Marine Technology, 3. Steel in Marine Structures. Amsterdam: Elsevier; 1987: 161-178.
- 47Sarpkaya T, Isaacson M. Mechanics of Wave Forces on Offshore Structures. New York: Van Norstrand Rheinhold Company; 1981.
- 48Ochi MK, Bales SL. Effect of various spectral formulations in predicting responses of marine vehicles and ocean structures. OTC 2743. Presented at 9th Annual OTC in Houston, Tex 2–5 May 1977.
- 49Morison JR, O'Brien MP, Johnson JW, Schaff SA. The force exerted by surface waves on piles. J Petrol Tech. 1950; 2(05): 149-154.
10.2118/950149-G Google Scholar
- 50Lamb H. Hydrodynamics. UK: Cambridge University Press; 1932.
- 51Graff WJ. Introduction to Offshore Structures, Design, Fabrication, Installation. Houston: Gulf Publishing Company; 1981.
- 52 Anon. Environmental Conditions of the Norwegian Continental Shelf with Special Emphasis on Engineering Applications. Stavanger: Norwegian Petroleum Directorate; 1976.
- 53Wirsching PH. Fatigue reliability in welded joints of offshore structures. Int J Fatigue. 1980; 2(2): 77-83.
- 54Holmes P, Tickell RG. The long term probability distribution of peak wave induced loads on structural sections. Supplementary. Report MCE/APR/75. UK: Liverpool University; 1975.
- 55Tickell RG, Burrows R, Holmes P. Long term wave loading of offshore structures. Proc Instn Civ Engrs Part II. 1976; 61: 145-162.
- 56Ewing DK. Implementation of Wave Loading Histories at N. E. L. Internal Report. UK: National Engineering Laboratory; 1986.
- 57Holmes R. Fatigue and corrosion fatigue of welded joints under random load conditions. Proceedings of the Select Seminar on European Offshore Steels Research. 27-29 November 1978. UK: Welding Institute; 1978: 11.1–11.26.
- 58Holmes R. The fatigue behaviour of welded joints under North Sea environmental and random loading conditions. OTC Paper No 3700. Proceedings of the 12th Annual Offshore Technology Conference. Houston, 1980: 219–230.
- 59Holmes R, Kerr J. The fatigue strength of welded connections subjected to North Sea environmental and random loading conditions. Proceedings of BOSS 82. Third International Conference on Behaviour of Offshore Structures, Vol. 2. Cambridge, MS: Massachusetts Institute of Technology; 1982: 26–36.
- 60 Anon. Proposal for the Common Load Sequence for Offshore-Structure Component Tests. IABG Report TF-1572. Ottobrunn: Industrieanlagen-Betriebsgesellschaft GmbH; 1983.
- 61Pook LP. Letter to W Schütz; 1984.
- 62Olagnon M. Wave action standard history. Presentation of FRIGG DP2 data. Rep. No. 86/DIt/GO.S/R13 Brest: IFREMER; 1986.
- 63Klätschke H, Sonsino CM, Steinhilber H, Buxbaum O. Frequency Distributions of Sea-Wave-Heights and Strains of the FRIGG DP2 Platform. LBF Report No. 5455/6117. Darmstadt: Fraunhofer-Institut für Betriebsfestigkeit (LBF); 1987.
- 64Kam JCP. Wave action standard history (wash) for fatigue testing offshore structures. Appl Ocean Res. 1992; 14(1): 1-10.
- 65Olagnon M. Block Choice and Sequencing to Represent Sea-States for Fatigue Testing Applied to Offshore Structures. Rapport Numéro 86/DIT-GO.S/R29. Brest: IFREMER; 1986.
- 66Etube LS. Fatigue and Fracture Mechanics of Offshore Structures. UK: Professional Engineering Publishing Limited; 2001.
- 67Tantbirojn N, Bowers RJ, Etube LS, et al. Variable Amplitude Corrosion Fatigue of Offshore Steels. UK: Health and Safety Executive; 2002.
- 68Pook LP. Fatigue crack growth in cruciform-welded joints under non-stationary narrow-band random loading. In: Residual Stress Effects in Fatigue. ASTM STP 776. Philadelphia, PA: American Society for Testing and Materials; 1982: 97-114.
10.1520/STP30100S Google Scholar
- 69Pook LP. Fatigue crack growth in unstress-relieved welded joints under non-stationary narrow-band random loading. In: Proceedings of ICF International Symposium on Fracture Mechanics (Beijing). Beijing: Science Press; 1983: 784-789.
- 70Pook LP. Geometric constraints on fatigue crack paths in tubular welded joints. Arch Mech Eng. 1998; 45: 143-156.
- 71Pook LP. A 50-year retrospective review of three-dimensional effects at cracks and sharp notches. Fatigue Fract Eng Mater Struct. 2013; 36(8): 699-723.
- 72 WD Dover, S Dharmavasan, FP Brennan, KJ Marsh (Eds). Fatigue Crack Growth in Offshore Structures. Solihull: Engineering Materials Advisory Services Ltd; 1996.
- 73Vinas-Pich J, Kam JCP, Dover WD. Variable amplitude corrosion fatigue of tubular welded Y-joints under out of plane bending. In: WD Dover, S Dharmavasan, FP Brennan, KJ Marsh, eds. Fatigue Crack Growth in Offshore Structures. Solihull: Engineering Materials Advisory Services Ltd; 1996: 107-145.