Modeling the Compression Stiffness Degradation in Circular Elastomeric Bearings due to Fatigue
Publication: Journal of Engineering Mechanics
Volume 142, Issue 1
Abstract
Laminated rubber, or elastomeric, bearings fatigue when subjected to repeated cycles of loading. Fatigue in these elements is characterized by the formation of cracks typically originating at the interface of the steel-rubber laminae at the outermost edge of the laminate then propagating at an inclination toward the center of the bearing under subsequent cycling. The presence of fatigue cracks alters the bulging surface of the rubber layers, thereby degrading the stiffness properties of the bearings. Past experimental studies have shown the stiffness degradation of laminated rubber bearings can be significant, i.e., reductions on the order of 20–30%. To date, much of the analytical and experimental research has been focused on the determination of the initiation of fatigue cracking to establish replacement schedules for elastomeric bearing components in aerospace and rail applications. However, in bridge applications elastomeric bearings are likely to fatigue while in service and the level of stiffness degradation could significantly affect the in-service performance and safety of the bridge. To develop an improved understanding of the impact of fatigue cracking on the stiffness degradation of elastomeric bearings, a modeling framework is proposed that builds on previous research to link cycles of loading to stiffness degradation. The modeling framework is implemented in a numerical routine to perform parametric and sensitivity studies to quantify the effect of parameters and factors variations on both the stiffness degradation and fatigue life of elastomeric bearings.
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References
AASHTO. (2010). “Guide specifications for seismic isolation design.” Washington, DC.
Arwade, S. R., Moradi, M., and Louhghalam, A. (2010). “Variance decomposition and global sensitivity for structural systems.” Eng. Struct., 32(1), 1–10.
Chou, H. W., Huang, J. S., and Lin, S. T. (2007). “Effects of thermal aging on fatigue of carbon black-reinforced EPDM rubber.” J. Appl. Poly. Sci., 103(2), 1244–1251.
Chou, H. W., and Huang, J. S. (2008). “Effects of cyclic compression and thermal aging on dynamic properties of neoprene rubber bearings.” J. Appl. Poly. Sci., 107(3), 1635–1641.
Chou, H. W., and Huang, J. S. (2011). “Crack initiation and propagation in circular rubber bearings subjected to cyclic compression.” J. Appl. Poly. Sci., 121(3), 1747–1756.
Chou, H. W., and Huang, J. S. (2012). “Fatigue life prediction for circular rubber bearings subjected to cyclic compression.” J. Appl. Poly. Sci., 123(4), 2194–2203.
Gdoutos, E. E. (1993). Fracture mechanics: An introduction, Kluwer Academic, Dordrecht, Netherlands.
Gent, A. N., and Lindley, P. B. (1959). “The compression of bonded rubber blocks.” Proc. Inst. Mech. Eng., 173(1959), 111–122.
Han, X., Kelleher, C. A., Warn, G. P., and Wagener, T. (2013). “Identification of the controlling mechanism for predicting critical loads in elastomeric bearings.” J. Struct. Eng., 04013016.
Horton, J. M., Tupholme, G. E., and Gover, M. J. C. (2002). “Axial loading of bonded rubber blocks.” J. Appl. Mech., 69(6), 836–843.
Kachanov, L. M. (1986). Introduction to continuum damage mechanics, Martinus Nijhoff, Dordrecht, Netherlands.
Kala, Z. (2011). “Sensitivity analysis of steel plane frames with initial imperfections.” Eng. Struct., 33(8), 2342–2349.
Kattan, P. I., and Voyiadjis, G. Z. (2001). “Decomposition of damage tensor in continuum damage mechanics.” J. Eng. Mech., 940–944.
Lake, G. J. (2003). “Fracture mechanics and its application to failure in rubber articles.” Rubber Chem. Technol., 76(3), 567–591.
Lake, G. J., and Lindley, P. B. (1966). “Fatigue of rubber at low strains.” J. Appl. Poly. Sci., 10(2), 343–351.
Lindley, P. B. (1972). “Energy for crack growth in model rubber components.” J. Strain Anal., 7(2), 132–140.
Lindley, P. B., and Stevenson, A. (1981). “Fatigue resistance of natural rubber in compression.” Proc. Mater. Exp. Des. Fatigue, 55, 337–351.
Mars, W. V. (2001). “Multiaxial fatigue crack initiation in rubber.” Tire Sci. Technol., 29(3), 171–185.
Mars, W. V. (2002). “Cracking energy density as a predictor of fatigue life under multiaxial conditions.” Rubber Chem. Technol., 75(1), 1–17.
Mars, W. V., and Fatemi, A. (2002). “A literature survey on fatigue analysis approaches for rubber.” Int. J. Fatigue, 24(9), 949–961.
MATLAB V. 7.11.0584 [Computer software]. MathWorks, Natick, MA.
NBI (National Bridge Inventory). (2013). “Bridge statistics for Pittsburgh, Pennsylvania (PA)– Condition, traffic, stress, structural evaluation, project costs.” 〈http://www.city-data.com/bridges/bridges-Pittsburgh-Pennsylvania.html〉 (May 5, 2013).
Rivlin, R. S., and Thomas, A. G. (1953). “Rupture of rubber. I. Characteristic energy for tearing.” J. Polym. Sci., 10(3), 291–318.
Roeder, C. W., Stanton, J. F., and Taylor, A. W. (1990). “Fatigue of steel-reinforced elastomeric bearings.” J. Struct. Eng., 407–426.
Saltelli, A. (2002). “Making best use of model evaluations to compute sensitivity indices.” Comput. Phys. Commun., 145(2), 280–297.
Saltelli, A., et al. (2008). Global sensitivity analysis: the primer, Wiley, Hoboken, NJ.
Saltelli, A., Tarantola, S., Campolongo, F., and Ratto, M. (2004). Sensitivity analysis in practice: A guide to assessing scientific models, Wiley, Hoboken, NJ.
SimLab [Computer software]. Brussels, Belgium, European Commission Joint Research Centre.
Sobol’, I. M. (1967). “On the distribution of points in a cube and the approximate evaluation of integrals.” USSR Comput. Math. Math. Phys., 7(4), 784–802.
Sobol’, I. M. (1993). “Sensitivity analysis for non-linear mathematical models.” Math. Model. Comput. Exp., 1(4), 407–414.
Sobol’, I. M. (2001). “Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates.” Math. Comput. Simul., 55(1–3), 271–280.
Tang, Y., Reed, P., Wagener, T., and van Werkhoven, K. (2007). “Comparing sensitivity analysis methods to advance lumped watershed model identification and evaluation.” Hydrol. Earth Syst. Sci., 11(2), 793–817.
Thomas, A. G. (1958). “Rupture of rubber. V. Cut growth in natural rubber vulcanizates.” J. Poly. Sci., 31(123), 467–480.
Voyiadjis, G. Z., and Kattan, P. I. (1999). Advances in damage mechanics: Metals and metal matrix composites, Elsevier, Amsterdam, Netherlands.
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Published In
Journal of Engineering Mechanics
Volume 142 • Issue 1 • January 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Sep 26, 2013
Accepted: Feb 9, 2015
Published online: Jun 1, 2015
Discussion open until: Nov 1, 2015
Published in print: Jan 1, 2016
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