Effective Moduli of Coated Particulate Composites with BCC Structure at High Concentration
Publication: Journal of Engineering Mechanics
Volume 132, Issue 8
Abstract
A micromechanical approach for an accurate estimation of the effective moduli of composites reinforced with nondilute distribution of coated particles is developed. The theory is based on the extension of the equivalent inclusion method to interacting multiinhomogeneities. In this treatment the short and long range interactions of the reinforcing particles are appropriately incorporated through the homogenizing eigenstrain field. The periodicity of the microstructure of the medium suggests representing the eigenstrain field in terms of the Fourier series, accounting for the matrix–particle, interparticle, and intraparticle interactions with high precision. The proposed theory is valid for estimating the overall properties of solids containing thickly and/or functionally graded coated reinforcements. For demonstration, the problems of composites with body centered cubic (BCC) distribution of coated spherical particles as well as coated ellipsoidal particles are solved. The effect of volume fraction, coating thickness, coating stiffness, and shape and orientation of the coated ellipsoidal reinforcements on overall behavior of composites are thoroughly examined.
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Acknowledgment
This work was supported by the Center of Excellence in Structures and Earthquake Engineering at Sharif University of Technology.
References
Amdouni, N., Sautereau, H., and Gerard, J. F. (1992). “Epoxy composites based on glass beads. II. Mechanical properties.” J. Appl. Polym. Sci., 46, 1723–1735.
Bernard, O., Ulm, F-J., and Lemarchand, E. (2003). “A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials.” Cem. Concr. Res., 33, 1293–1309.
El Mouden, M., Cherkaoui, M., Molinari, A., and Berveiller, M. (1998). “The overall elastic response of materials containing coated inclusions in a periodic array.” Int. J. Eng. Sci., 36, 813–829.
Hori, M., and Nemat-Nasser, S. (1993). “Double-inclusion model and overall moduli of multi-phase composites.” Mech. Mater., 14, 189–206.
Hori, M., and Nemat-Nasser, S. (1999). “On two micromechanics theories for determining micro-macro relations in heterogeneous solids.” Mech. Mater., 31, 667–682.
Iwakuma, T., and Nemat-Nasser, S. (1983). “Composites with periodic microstructure.” Comput. Struct., 16, 13–19.
Lutz, M. P., Monteiro, P. J. M., and Zimmerman, R. W. (1997). “Inhomogeneous interfacial transition zone model for the bulk modulus of mortar.” Cem. Concr. Res., 27, 1113–1122.
Nemat-Nasser, S., and Hori, M. (1993). Micromechanics: Overall properties of heterogeneous materials, North-Holland, London.
Nemat-Nasser, S., Iwakuma, T., and Hejazi, M. (1982). “On composites with periodic structure.” Mech. Mater., 1, 239–267.
Nemat-Nasser, S., and Taya, M. (1981). “On effective moduli of an elastic body containing periodically distributed voids.” Q. Appl. Math., 39, 43–59.
Scrivener, K. L., and Gartner, E. M. (1988). “Microstructural gradients in cement paste around aggregate particles.” Mater. Res. Soc. Symp. Proc., 114, 77–85.
Shodja, H. M., and Roumi, F. (2005). “Overall behavior of composites with periodic multi-inhomogeneities.” Mech. Mater., 37, 343–353.
Shodja, H. M., and Sarvestani, A. S. (2001). “Elastic fields in double inhomogeneity by the equivalent inclusion method.” J. Appl. Mech. 68, 3–10.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 8 • August 2006
Pages: 882 - 888
Copyright
© 2006 ASCE.
History
Received: Aug 16, 2004
Accepted: Dec 20, 2005
Published online: Aug 1, 2006
Published in print: Aug 2006
Notes
Note. Associate Editor: Yunping Xi
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