Reliability-Based Analysis for Thermal Break System under Low-Cycle Climatic Fatigue Loads
Publication: Journal of Structural Engineering
Volume 145, Issue 3
Abstract
In buildings, thermal bridging can be formed through structural components such as protruding balconies. For this reason, thermal break systems are used to limit heat flow in order to fulfill code requirements. With balconies exposed to significant variations of outside temperature, the thermal break systems undergo large horizontal deformations that might lead to yielding several times throughout its service life. Assessing the design in these conditions requires a low-cycle fatigue verification, which is unusual in the building design. As a consequence, the whole safety format must be redefined, with a proper account of the uncertainties in the definition of the actions and in the model for the resistance. This paper presents a reliability-based analysis for the calibration of the safety factor that takes into account these uncertainties. The energy-based fatigue life curve and the cyclic force-displacement relationship of the thermal break system are constructed based on the low-cycle fatigue experimental test data. The mechanical behavior of the thermal break system is modeled by a coupled plastic-damage model. For the fatigue verification, the climatic loads are defined based on the temperature history obtained from European Climate Assessment & Dataset (ECA&D). The limit state equation for fatigue failure is written based on the energy-based fatigue life curve and Miner’s rule to describe the reliability model. This reliability model includes the uncertainties related to the strength, the loads, and the accumulated damage. The effect of these uncertainties on the safety factor is discussed for the city of Embrun in France. At last, the sensitivity of the safety factor with the locations is expressed based on the data from 33 cities in France.
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Acknowledgments
The authors gratefully acknowledge financial support by the ANR (Agence Nationale de la Recherche, France) through the project LabCom ANR B-HYBRID.
References
Ambühl, S., F. Ferri, J. P. Kofoed, and J. D. Sørensen. 2015. “Fatigue reliability and calibration of fatigue design factors of wave energy converters.” Int. J. Mar. Energy 10 (Jun): 17–38. https://doi.org/10.1016/j.ijome.2015.01.004.
Commission of the European Communities. 2002. Eurocode 0: Basis of structural design. EN 1990:2002+A1. Brussels, Belgium: Commission of the European Communities.
Commission of the European Communities. 2004. Eurocode 1: Actions on structures: Part 1-5: General actions: Thermal actions. EN 1991-1-5. Brussels, Belgium: Commission of the European Communities.
D’Angelo, L., and A. Nussbaumer. 2015. “Reliability based fatigue assessment of existing motorway bridge.” Struct. Saf. 57 (Nov): 35–42. https://doi.org/10.1016/j.strusafe.2015.07.001.
Der Kiureghian, A., and O. Ditlevsen. 2009. “Aleatory or epistemic? Does it matter?” Struct. Saf. 31 (2): 105–112. https://doi.org/10.1016/j.strusafe.2008.06.020.
Dicleli, M., and S. Albhaisi. 2004. “Effect of cyclic thermal loading on the performance of steel h-piles in integral bridges with stub abutment.” J. Constr. Steel Res. 60 (2): 161–182. https://doi.org/10.1016/j.jcsr.2003.09.003.
ECA&D (European Climate Assessment & Dataset). 2018. “European climate assessment & dataset.” Accessed February 1, 2016. https://www.ecad.eu/.
Hallmark, R. 2006. “Low-cycle fatigue of steel piles in integral abutment bridges.” M.S. thesis, Dept. of Civil and Environmental Engineering, Lulea Univ. of Technology.
Huang, J. M., C. French, and C. Shield. 2004. Behavior of concrete integral abutment bridges. Saint Paul, MN: Research Service Section, Minnesota Dept. of Transportation.
Jahed, H., and A. Varvani-Farahani. 2006. “Upper and lower fatigue life limits model using energy-based fatigue properties.” Int. J. Fatigue 28 (5): 467–473. https://doi.org/10.1016/j.ijfatigue.2005.07.039.
JCSS (Joint Committee on Structural Safety). 2011. “Probabilistic model code. Part 3: Resistance models.” Accessed April 26, 1999. https://www.jcss.byg.dtu.dk/.
Keo, P., B. Le Gac, H. Somja, and F. Palas. 2018a. “Experimental study of the behavior of a steel-concrete hybrid thermal break system under vertical actions.” In High tech concrete: Where technology and engineering meet, 2573–2580. New York: Springer.
Keo, P., B. Le Gac, H. Somja, and F. Palas. 2018b. “Low-cycle fatigue life of a thermal break system under climatic actions.” Eng. Struct. 168 (Aug): 525–543. https://doi.org/10.1016/j.engstruct.2018.04.063.
Leander, J. 2018. “Reliability evaluation of the Eurocode model for fatigue assessment of steel bridges.” J. Constr. Steel Res. 141 (Feb): 1–8. https://doi.org/10.1016/j.jcsr.2017.11.010.
Leander, J., B. Norlin, and R. Karoumi. 2015. “Reliability-based calibration of fatigue safety factors for existing steel bridges.” J. Bridge Eng. 20 (10): 04014107. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000716.
Márquez-Domínguez, S., and J. D. Sørensen. 2012. “Fatigue reliability and calibration of fatigue design factors for offshore wind turbines.” Energies 5 (6): 1816–1834. https://doi.org/10.3390/en5061816.
Meschke, G., R. Lackner, and H. Mang. 1998. “An anisotropic elastoplastic-damage model for plain concrete.” Int. J. Numer. Methods Eng. 42 (4): 703–727. https://doi.org/10.1002/(SICI)1097-0207(19980630)42:4%3C703::AID-NME384%3C3.0.CO;2-B.
Miner, M. A. 1945. “Cumulative damage in fatigue.” J. Appl. Mech. 12 (3): A159–A164.
Niesłony, A. 2009. “Determination of fragments of multiaxial service loading strongly influencing the fatigue of machine components.” Mech. Syst. Sig. Process. 23 (8): 2712–2721. https://doi.org/10.1016/j.ymssp.2009.05.010.
Parry, G., and P. W. Winter. 1981. “Characterization and evaluation of uncertainty in probabilistic risk analysis.” Nucl. Saf. 22 (1): 28–42.
Pat Cornell, M. E. 1996. “Uncertainties in risk analysis: Six levels of treatment.” Reliab. Eng. Syst. Saf. 54 (2–3): 95–111. https://doi.org/10.1016/S0951-8320(96)00067-1.
Petursson, H., M. Mller, and P. Collin. 2018. “Low-cycle fatigue strength of steel piles under bending.” Struct. Eng. Int. 23 (3): 278–284. https://doi.org/10.2749/101686613X13439149156750.
Rafsanjani, H. M., and J. D. Sørensen. 2015. “Reliability analysis of fatigue failure of cast components for wind turbines.” Energies 8 (4): 2908–2923. https://doi.org/10.3390/en8042908.
Sørensen, J. D., S. Frandsen, and N. J. Tarp-Johansen. 2007. “Fatigue reliability and effective turbulence models in wind farms.” In Proc., Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP), edited by J. Kanda, T. Takada, and H. Furuta. Chiban, Japan: Marcel Dekker Incorporated.
Toft, H. S., L. Svenningsen, J. D. Sørensen, W. Moser, and M. L. Thøgersen. 2016. “Uncertainty in wind climate parameters and their influence on wind turbine fatigue loads.” Renewable Energy 90 (May): 352–361. https://doi.org/10.1016/j.renene.2016.01.010.
Wirsching, P. H. 1984. “Fatigue reliability for offshore structures.” J. Struct. Eng. 110 (10): 2340–2356. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:10(2340).
Yeter, B., Y. Garbatov, and G. Soares. 2015. “Fatigue reliability assessment of an offshore supporting structures.” In Maritime technology and engineering, 671–680. London: CRC Press.
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©2019 American Society of Civil Engineers.
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Received: Mar 13, 2018
Accepted: Aug 17, 2018
Published online: Jan 7, 2019
Published in print: Mar 1, 2019
Discussion open until: Jun 7, 2019
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