Mesoscale Analysis of Fatigue Damage through Aggregate–Mortar Bond Cracks in Cementitious Composites
Publication: Journal of Engineering Mechanics
Volume 146, Issue 2
Abstract
A micromechanics-based model is developed to study the fatigue response of cementitious composites. Microcrack growth, which is the predominant mechanism responsible for fatigue damage, is explicitly modeled at the mesoscale. The damaged state at the macroscopic scale is determined by using energetic criterion. The dissipated energy associated with each stage of microcrack propagation is computed numerically based on the elastic solutions of the stress and displacement quantities at the mesoscale. The model is used to predict the fatigue life of plain concrete beams under fatigue load cycles. The influence of the various properties of the constituent phases on the fatigue life of the composite is investigated through a parametric study.
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Data Availability Statement
All data, models, or code generated or used during the study are available from the corresponding author by request.
References
Alliche, A. 2004. “Damage model for fatigue loading of concrete.” Int. J. Fatigue 26 (9): 915–921. https://doi.org/10.1016/j.ijfatigue.2004.02.006.
Bažant, Z. P., and J. Planas. 1997. Vol. 16 of Fracture and size effect in concrete and other quasibrittle materials. Boca Raton, FL: CRC Press.
Chawla, N., J. W. Jones, C. Andres, and J. E. Allison. 1998. “Effect of SiC volume fraction and particle size on the fatigue resistance of a 2080 Al/SiC p composite.” Metall. Mater. Trans. A 29 (11): 2843–2854. https://doi.org/10.1007/s11661-998-0325-5.
Desmorat, R., F. Ragueneau, and H. Pham. 2007. “Continuum damage mechanics for hysteresis and fatigue of quasi-brittle materials and structures.” Int. J. Numer. Anal. Methods Geomech. 31 (2): 307–329. https://doi.org/10.1002/nag.532.
Dutta, S., and J. M. Chandra Kishen. 2018. “Progressive damage through interface microcracking in cementitious composites: A micromechanics based approach.” Int. J. Solids Struct. 150 (Oct): 230–240. https://doi.org/10.1016/j.ijsolstr.2018.06.017.
Elices, M., and C. G. Rocco. 2008. “Effect of aggregate size on the fracture and mechanical properties of a simple concrete.” Eng. Fract. Mech. 75 (13): 3839–3851. https://doi.org/10.1016/j.engfracmech.2008.02.011.
Fathima, K. M. P., and J. M. Chandra Kishen. 2013. “A thermodynamic framework for fatigue crack growth in concrete.” Int. J. Fatigue 54 (Sep): 17–24. https://doi.org/10.1016/j.ijfatigue.2013.04.007.
Fathima, K. M. P., and J. M. Chandra Kishen. 2015a. “Prediction of fatigue life in plain concrete using entropy production.” J. Eng. Mech. 141 (7): 04015007. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000936.
Fathima, K. M. P., and J. M. Chandra Kishen. 2015b. “A thermodynamic framework for the evolution of damage in concrete under fatigue.” Archive Appl. Mech. 85 (7): 921–936. https://doi.org/10.1007/s00419-015-1001-z.
Glucklich, J. 1965. “Static and fatigue fractures of portland cement mortar in flexure.” In Vol. 3 of Proc., First Int. Conf. on Fracture, 1343–1382. Tokyo: Japanese Society for Strength and Fracture of Materials.
Hsu, T. T. C. 1984. “Fatigue and microcracking of concrete.” Matériaux Constr. 17 (1): 51–54. https://doi.org/10.1007/BF02474056.
Huang, Z.-M. 2002. “Micromechanical modeling of fatigue strength of unidirectional fibrous composites.” Int. J. Fatigue 24 (6): 659–670. https://doi.org/10.1016/S0142-1123(01)00185-2.
Lee, M. K., and B. I. G. Barr. 2004. “An overview of the fatigue behaviour of plain and fibre reinforced concrete.” Cem. Concr. Compos. 26 (4): 299–305. https://doi.org/10.1016/S0958-9465(02)00139-7.
Murdock, J. W. 1965. A critical review of research on fatigue of plain concrete. Champaign, IL: Univ. of Illinois at Urbana Champaign.
Naderi, M., M. Amiri, and M. M. Khonsari. 2009. “On the thermodynamic entropy of fatigue fracture.” Proc. R. Soc. London, Ser. A. 466 (2114): 423–438.
Naderi, M., and M. M. Khonsari. 2012. “Thermodynamic analysis of fatigue failure in a composite laminate.” Mech. Mater. 46 (Mar): 113–122. https://doi.org/10.1016/j.mechmat.2011.12.003.
Naderi, M., and M. M. Khonsari. 2013. “On the role of damage energy in the fatigue degradation characterization of a composite laminate.” Composites Part B 45 (1): 528–537. https://doi.org/10.1016/j.compositesb.2012.07.028.
Papa, E., and A. Taliercio. 1996. “Anisotropic damage model for the multiaxial static and fatigue behaviour of plain concrete.” Eng. Fract. Mech. 55 (2): 163–179. https://doi.org/10.1016/0013-7944(96)00004-5.
Reifsnider, K. L., and Z. Gao. 1991. “A micromechanics model for composites under fatigue loading.” Int. J. Fatigue 13 (2): 149–156. https://doi.org/10.1016/0142-1123(91)90007-L.
Saito, M. 1988. “Tensile fatigue strength of the mortar-aggregate bond.” Cem. Concr. Res. 18 (5): 710–714. https://doi.org/10.1016/0008-8846(88)90093-2.
Schlangen, E., and J. G. M. Van Mier. 1992. “Experimental and numerical analysis of micromechanisms of fracture of cement-based composites.” Cem. Concr. Compos. 14 (2): 105–118. https://doi.org/10.1016/0958-9465(92)90004-F.
Shah, S. G., and J. M. Chandra Kishen. 2012. “Use of acoustic emissions in flexural fatigue crack growth studies on concrete.” Eng. Fract. Mech. 87 (Jun): 36–47. https://doi.org/10.1016/j.engfracmech.2012.03.001.
Shah, S. P., S. E. Swartz, and C. Ouyang. 1995. Fracture mechanics of concrete: Applications of fracture mechanics to concrete, rock and other quasi-brittle materials. New York: Wiley.
Sousa, J., J. Pais, M. Prates, R. Barros, P. Langlois, and A.-M. Leclerc. 1998. “Effect of aggregate gradation on fatigue life of asphalt concrete mixes.” Transp. Res. Rec. 1630 (1): 62–68. https://doi.org/10.3141/1630-08.
Subramaniam, K. V., E. F. O’Neil, J. S. Popovics, and S. P. Shah. 2000. “Crack propagation in flexural fatigue of concrete.” J. Eng. Mech. 126 (9): 891–898. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:9(891).
Subramanian, S., K. L. Reifsnider, and W. W. Stinchcomb. 1995. “A cumulative damage model to predict the fatigue life of composite laminates including the effect of a fibre-matrix interphase.” Int. J. Fatigue 17 (5): 343–351. https://doi.org/10.1016/0142-1123(95)99735-S.
Susmel, L. 2014. “A unifying methodology to design un-notched plain and short-fibre/particle reinforced concretes against fatigue.” Int. J. Fatigue 61 (Apr): 226–243. https://doi.org/10.1016/j.ijfatigue.2013.11.006.
Tasdemir, C., M. A. Tasdemir, F. D. Lydon, and B. I. G. Barr. 1996. “Effects of silica fume and aggregate size on the brittleness of concrete.” Cem. Concr. Res. 26 (1): 63–68. https://doi.org/10.1016/0008-8846(95)00180-8.
Toumi, A., A. Bascoul, and A. Turatsinze. 1998. “Crack propagation in concrete subjected to flexural cyclic loading.” Mater. Struct. 31 (7): 451–458. https://doi.org/10.1007/BF02480468.
Toya, M. 1974. “A crack along the interface of a circular inclusion embedded in an infinite solid.” J. Mech. Phys. Solids 22 (5): 325–348. https://doi.org/10.1016/0022-5096(74)90002-7.
Van Mier, J. G. M. 1996. Vol. 12 of Fracture processes of concrete. London: CRC Press.
Zak, A., and M. L. Williams. 1963. “Crack point stress singularities at a bi-material interface.” J. Appl. Mech. 30 (1): 142–143. https://doi.org/10.1115/1.3630064.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Mar 4, 2019
Accepted: Jun 19, 2019
Published online: Dec 6, 2019
Published in print: Feb 1, 2020
Discussion open until: May 6, 2020
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