Study on Strain-Rate Sensitivity of Cementitious Composites
Publication: Journal of Engineering Mechanics
Volume 136, Issue 9
Abstract
In this study, we conduct a combined experimental and micromechanical investigation into the strain-rate sensitivity of concretes, with a special reference to the effect of aggregate concentration. We first measured the stress-strain relations of Type I portland cement with 0.45 water-to-cement ratio (w/c), and then those of the mortar containing sand aggregates of up to 50% volume concentration, over six orders of magnitude of strain rate, from to under compression. It was found that, at a given strain rate, the peak stress increases with the aggregate concentration but the peak strain tends to decrease with it. At a given aggregate concentration, the peak stress also increases with strain rate whereas the peak strain generally decreases with it. We then developed an inclusion-matrix type micromechanical model to simulate the behavior of the concrete. In this process the nonlinear viscoelastic behavior of the portland cement was modeled by a modified Burger's model with strain-rate dependent spring and dashpot elements, and the stress-strain relations of the mortar at various aggregate concentrations and strain rates were calculated from a two-phase composite model with a secant-moduli approach. It is shown that the measured data could be sufficiently well predicted by the developed micromechanics composite model.
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Acknowledgments
H. H. Pan was supported by the Taiwan National Science Council under Grant No. NSCTNSC 96-2221-E-151-046, and G. J. Weng was supported by the U.S. National Science Foundation, Division of Civil, Mechanical and Manufacturing Innovation, Mechanics and Structure of Materials Program, under Grant No. NSFCMS-0510409.
References
Bathe, K. J., and Ramaswamy, S. (1979). “On three-dimensional nonlinear analysis of concrete structures.” Nucl. Eng. Des., 52, 385–409.
Brara, A., Camborde, F., Klepaczko, J. R., and Mariotti, C. (2001). “Experimental and numerical study of concrete at high strain rate in tension.” Mech. Mater., 33, 33–45.
Chandra, D., and Krauthammer, T. (1995). “Strength enhancement in particulate solids under high loading rate.” Earthquake Eng. Struct. Dyn., 24, 1609–1622.
Eshelby, J. D. (1957). “The determination of the elastic field of an ellipsoidal inclusion, and related problems.” Proc. R. Soc. London, Ser. A, 241, 376–396.
Forquin, P., Gary, G., and Gatuingt, F. (2008). “A testing technique for concrete under confinement at high rates of strain.” Int. J. Impact Eng., 35, 425–446.
Georgin, J. F., and Reynouard, J. M. (2003). “Modeling of structures subjected to impact: Concrete behaviour under high strain rate.” Cem. Concr. Compos., 25, 131–143.
Harsh, S., Shen, Z., and Darwin, D. (1990). “Strain-rate sensitive behavior of cement paste and mortar in compression.” ACI Mater. J., 87, 508–515.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behaviour of multiphase materials.” J. Mech. Phys. Solids, 11, 127–140.
Hu, G. (1996). “A method of plasticity for general aligned spheroidal void or fiber-reinforced composites.” Int. J. Plast., 12, 439–449.
Kuo, T. H., Pan, H. H., and Weng, G. J. (2008). “Micromechanics-based predictions on the overall stress-strain relations of cement-matrix composites.” J. Eng. Mech., 134, 1045–1052.
Lambert, D. E., and Ross, C. A. (2000). “Strain rate effects on dynamic fracture and strength.” Int. J. Impact Eng., 24, 985–998.
Li, J., and Weng, G. J. (1994a). “Strain-rate sensitivity, relaxation behavior and complex moduli of a class of isotropic viscoelastic composites.” J. Eng. Mater. Technol., 116, 495–504.
Li, J., and Weng, G. J. (1994b). “Effective creep behavior and complex moduli of fiber and ribbon-reinforced polymer-matrix composites.” Compos. Sci. Technol., 52, 615–629.
Li, J., and Weng, G. J. (1997). “A secant-viscosity approach to the time-dependent creep of an elastic-viscoplastic composite.” J. Mech. Phys. Solids, 45, 1069–1083.
Li, J., and Weng, G. J. (2007). “A secant-viscosity composite model for the strain-rate sensitivity of nanocrystalline materials.” Int. J. Plast., 23, 2115–2133.
Mori, T., and Tanaka, K. (1973). “Average stress in matrix and average elastic energy of materials with misfitting inclusions.” Acta Metall., 21, 571–574.
Pan, H. H., and Weng, G. J. (1993). “Determination of transient and steady-state creep of metal-matrix composites by a secant moduli method.” Composites Eng., 3, 661–674.
Pan, H. H., and Weng, G. J. (1995). “Elastic moduli of heterogeneous solids with ellipsoidal inclusions and elliptic cracks.” Acta Mech., 110, 73–94.
Qiu, Y. P., and Weng, G. J. (1992). “A theory of plasticity for porous materials and particle-reinforced composite.” J. Appl. Mech., 59, 261–268.
Ragueneau, F., and Gatuingt, F. (2003). “Inelastic behavior modelling of concrete in low and high strain rate dynamics.” Comput. Struct., 81, 1287–1299.
Sukontasukkul, P., Nimityongskul, P., and Mindess, S. (2004). “Effect of loading rate on damage of concrete.” Cem. Concr. Res., 34, 2127–2134.
Tandon, G. P., and Weng, G. J. (1986). “Average stress in the matrix and effective moduli of randomly oriented composites.” Compos. Sci. Technol., 27, 111–132.
Tandon, G. P., and Weng, G. J. (1988). “A theory of particle-reinforced plasticity.” J. Appl. Mech., 55, 126–135.
Tang, T., Ouyang, C., and Shah, S. P. (1996). “A simple method for determining material fracture parameters from peak loads.” ACI Mater. J., 93, 147–157.
Tedesco, J. W., Powell, J. C., Ross, C. A., and Hughes, M. L. (1997). “A strain-rate-dependent concrete material model for ADINA.” Comput. Struct., 64, 1053–1067.
Wang, Y. M., and Weng, G. J. (1992). “The influence of inclusion shape on the overall viscoelastic behavior of composites.” J. Appl. Mech., 59, 510–518.
Weng, G. J. (1984). “Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions.” Int. J. Eng. Sci., 22, 845–856.
Yon, J. -H., Hawkins, N. M., and Kobayashi, A. S. (1992). “Strain-rate sensitivity of concrete mechanical properties.” ACI Mater. J., 89, 146–153.
Zhang, M. H., Shim, V. P. W., Lu, G., and Chew, C. W. (2005). “Resistance of high-strength concrete to projectile impact.” Int. J. Impact Eng., 31, 825–841.
Zhu, J., Hu, S., and Wang, L. (2009). “An analysis of stress uniformity for concrete-like specimens during SHPB tests.” Int. J. Impact Eng., 36, 61–72.
Zineddin, M., and Krauthammer, T. (2007). “Dynamic response and behavior of reinforced concrete slabs under impact loading.” Int. J. Impact Eng., 34, 1517–1534.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 9 • September 2010
Pages: 1076 - 1082
Copyright
© 2010 ASCE.
History
Received: Mar 4, 2009
Accepted: Feb 23, 2010
Published online: Feb 25, 2010
Published in print: Sep 2010
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