Micromechanical Modeling for Behavior of Cementitious Granular Materials
Publication: Journal of Engineering Mechanics
Volume 125, Issue 11
Abstract
Crack damage is commonly observed in cementitious granular materials. Previous analytical models based on continuum mechanics have limitations in analyzing localized damages at a microscale level. In this paper, a micromechanics approach is adopted that considers a contract law for the interparticle behavior of two particles connected by a binder. The model is based on the premises that the interparticle binder initially contains microcracks. As a result of external loading, these microcracks propagate and grow. Thus, binders are weakened and fail. Theory of fracture mechanics is employed to model the propagation and growth of the microcracks. The contact law is then incorporated in the analysis for the overall damage behavior of material using a discrete element method. Using this model, the stress-strain behaviors under uniaxial and biaxial conditions were simulated. A reasonable agreement is found between the predictions and experimental results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bazant, Z. P., Tabbara, M. R., Kazemi, M. T., and Pijaudier-Cabot, G. (1990). “Random particle simulation of damage and fracture in particulate or fiber-reinforced composites.” Damage Mech. in Engrg. Mat., AMD-Vol. 109, 41–55.
2.
Chang, C. S., and Zhong, X. ( 1997). “Damage modelling for cemented particulate materials.” Mechanics of deformation and flow of particulate materials, C. S. Chang, A. Misra, R. Y. Liang, and M. Babic, eds., ASCE, New York, 247–258.
3.
Cherepanov, G. P. (1979). Mechanics of brittle fracture. McGraw-Hill, New York.
4.
Dvorkin, J., and Yin, H. (1995). “Contact laws for cemented grains.” Int. J. Solids and Struct., 32, 2459–2510.
5.
Jaeger, J. C., and Cook, N. G. W. (1979). Fundamentals of rock mechanics. Chapman & Hall, London.
6.
Kupfer, H. B., and Gerstle, K. H. (1973). “Behavior of concrete under biaxial stresses.”J. Engrg. Mech. Div., ASCE, 99(4), 852–866.
7.
Kupfer, H., and Hilsdorf, H. K. (1969). “Behavior of concrete under biaxial stresses.” ACI J., 66(8), 656–666.
8.
Nemat-Nasser, S., and Hori, M. (1993). Micromechanics: Overall properties of heterogeneous materials. North-Holland, Amsterdam.
9.
Trent, B. C. ( 1987). “The effect of microstructure on the macroscopic behavior of a cemented granular material,” PhD thesis, University of Minnesota, Minn.
10.
Trent, B. C., and Margolin, L. G. (1992). “Numerical validation of constitutive theory for an arbitrary fractured solid.” Proc., 2nd Int. Conf. on Discrete Element Method, MIT, Cambridge, Mass.
11.
Trent, B. C., and Margolin, L. G. ( 1994). “Modeling fracture in cemented granular materials.” Fractured mechanics applied to geotechnical engineering, L. E. Vallejo and R. Y. Liang, eds., ASCE, New York, 54–69.
12.
Welch, G. B. (1966). “Tensile strain in unreinforced concrete beams.” Mag. of Concrete Res., 18(54), 9–17.
13.
Wittmann, F. H. ( 1987). “Structure of concrete and crack formation.” Fracture of nonmetallic material, K. P. Herrmann and L. H. Larsson, eds., D. Reidal Publishing Co., Boston, 309–340.
14.
Zhong, X., and Chang, C. S. (1997). “Modeling mechanical behavior of cemented granular materials.” Proc., 9th Int. Conf. of the Int. Assn. for Comp. Methods and Advance in Geomechanics, J. Yuan, ed., Balkema, Amsterdam, 975–980.
15.
Zhong, X. ( 1998). “Modeling for the micromechanical behavior of cemented granular materials,” PhD dissertation, University of Massachusetts at Amherst, Amherst, Mass.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 11 • November 1999
Pages: 1280 - 1285
History
Received: Nov 23, 1998
Published online: Nov 1, 1999
Published in print: Nov 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.