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A Three-Phase Constitutive Model for Estimating the Elastic Moduli and The Strengths of Granular Composite Materials

Published online by Cambridge University Press:  08 August 2013

P.-J. Lin
P.-J. Lin*
Affiliation:
Department of Construction Technology, Tungnan University, Taipei, Taiwan 22202, R.O.C.
*
*[email protected]
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Abstract

This paper proposes a three-phase constitutive model for estimating the elastic moduli and strength of granular composite. The three-phase granular composite material containing aggregate (inclusion), matrix, and aggregate/matrix interface were investigated in this study. It was observed that significant improvement in predictive capability for three-phase granular composite materials can be achieved by using the proposed method. By using micromechanics and adopting the double-inclusion concept initiated by Hori and Nemat-Nasser and the two-phase model introduced by Yang et al.; the predicted elastic moduli for three-phase granular composite materials were evaluated. Moreover, analytical formulas were obtained to predict the strengths of three-phase granular composite materials. The potential of the proposed framework was also explored by comparing the analytical predictions in this study with other analytical methods as well as experimental data of other studies.

Keywords

Interfacial transition zoneCompressive strengthElastic moduliComposite material
Type
Research Article
Information
Journal of Mechanics , Volume 29 , Issue 4 , December 2013 , pp. 675 - 683
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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References

REFERENCES

1.Mindess, S. and Young, J. F., Concrete, Prentice Hall, Englewood Cliffs, New Jersey (1981).Google Scholar
2.Hashin, Z. and Shtrikman, S., “On Some Variational Principles in Anisotropic and Nonhomogeneous Elasticity,” Journal of Mechanics and Physics of Solids, 10, pp. 335–343 (1962).Google Scholar
3.Mori, K. and Tanaka, T., “Average Stress in Matrix and Average Energy of Materials with Misfitting Inclusions,” Acta Metallurgica, 21, pp. 571–574 (1973).Google Scholar
4.Mandel, J. and Dantu, P., “Contribution a Letude Theo Rique Et Expérimentale Du Coefficient Delasticite Dun Milieu Heterogene Mais Statistiquement Homogene,” Annales Des Ponts Et Chaussées, 133, pp. 115–146 (1963).Google Scholar
5.Monteiro, P. J. M., “A Note on the Hirsch Model,” Cement and Concrete Research, 21, pp. 947–950 (1991).Google Scholar
6.Eshelby, J. D., “The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems,” Proceedings of the Royal Society of London, A241, pp. 376–396 (1957).Google Scholar
7.Lin, P. J. and Ju, J. W., “Effective Elastic Moduli of Three-Phase Composites with Randomly Located and Interacting Spherical Particles of Distinct Properties,” Acta Mechanica, 208, pp. 11–26 (2009).Google Scholar
8.Mehta, P. K. and Monteiro, P. J. M., Concrete Structure, Properties and Materials, 2nd Edition, Prentice Hall, Englewood Cliffs, New Jersey (1993).Google Scholar
9.Huang, R. and Yang, C. C., “Interface Effect on the Elastic Moduli of Cement-Based Materials,” Journal of the Chinese Institute of Engineers, 19, pp. 597–605 (1996).Google Scholar
10.Lutz, M. P., Monteiro, P. J. M. and Zimmerman, R. W., “Inhomogeneous Interfacial Transition Zone Model for the Bulk Modulus of Mortar,” Cement and Concrete Research, 27, pp. 1113–1122 (1997).Google Scholar
11.Ramesh, G., Sotelino, E. D. and Chen, W. F., “Effect of Transition Zone on Elastic Moduli of Concrete Materials,” Cement and Concrete Research, 26, pp. 611–622 (1996).Google Scholar
12.Nemat-Nasser, S. and Hori, M., Micromechanics: Overall Properties of Heterogeneous Materials, 2nd Revised Edition, North-Holland (1999).Google Scholar
13.Hirsch, T. J., “Modulus of Elasticity of Concrete Affected by Elastic Moduli of Cement Paste Matrix and Aggregate,” ACI Material Journal, 59, pp. 427–452 (1962).Google Scholar
14.Tighiouart, B., Benmokrane, B. and Baalbaki, W., “Caractéristiques Mécaniques Et Élastiques De Bétons À Haute Performance Confectionnés Avec Différents Types De Gros Granulats,” Materials and Structures, 27, pp. 211–221 (1994).Google Scholar
15.Yang, C. C. and Huang, R., “A Two-Phase Model for Prediction the Compressive Strength of Concrete,” Cement and Concrete Research, 26, pp. 1567–1577 (1996).Google Scholar
16.Mura, T., Micromechanics of Defects in Solids, 2nd Revised Edition, Martinus Nijhoff Publishers (1987).Google Scholar
17.Yang, C. C., Huang, R., Yeih, W. D. and Chang, J. J., “Theoretical Approximate Elastic Moduli of Concrete Material,” The Chinese Journal of Mechanics, 11, pp. 47–53 (1995).Google Scholar
18.Benveniste, Y., “A New Approach to the Application of Mori-Tanaka's Theory in Composite Materials,” Mechanics of Materials, 6, pp. 147–157 (1987).CrossRefGoogle Scholar