TECHNICAL PAPERS
Dec 1, 2008

Micromechanics-Based Predictions on the Overall Stress-Strain Relations of Cement-Matrix Composites

Publication: Journal of Engineering Mechanics
Volume 134, Issue 12

Abstract

A micromechanics-based model is proposed to determine the nonlinear stress-strain relations of cement-matrix composites at different concentrations of inclusions (aggregates). We first conducted some experiments to uncover the stress-strain behavior of the cement paste with a water-to-cement ratio of 0.45, and those of the mortar with the same cement paste but at three different volume concentrations of aggregates. The behavior of the cement paste is then simulated by Burgers’ rheological model. In the development of the composite model, we extend the linear elastic response to the nonlinear one through the replacement of elastic moduli by the corresponding secant moduli. The nonlinear stress-strain curves of the cement-matrix composite are then determined from those of the cement paste and inclusions. It is shown that the predicted stress-strain curves of the mortar are in close agreement with the experimental curves up to an aggregate volume fraction of 49% or 60wt% .

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

H. H. Pan was supported by the Taiwan National Science Council under NSC UNSPECIFIED90-2211-E-151-004, and G. J. Weng was supported by the U.S. National Science Foundation, Mechanics and Structure of Materials Program, under NSFCMS-0510409.

References

Almusallam, T. H., and Alsayed, S. H. (1995). “Stress-strain relationship of normal, high-strength and lightweight concrete.” Mag. Concrete Res., 47, 39–44.
Attard, M. M., and Setung, S. (1996) “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93, 432–442.
Attiogbe, E. K., and Darwin, D. (1987). “Submicrocracking in cement paste and mortar.” ACI Mater. J., 84, 491–500.
Attiogbe, E. K., and Darwin, D. (1988). “Strain due to submicrocracking in cement paste and mortar.” ACI Mater. J., 85, 3–11.
Benveniste, Y. (1987). “A new approach to the application of Mori-Tanaka theory in composite materials.” Mech. Mater., 6, 147–157.
Carreira, D. J., and Chu, K. H. (1985). “Stress-strain relationship for plain concrete in compression.” ACI J., 82, 797–804.
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.
Harsh, S., Shen, Z., and Darwin, D. (1990). “Stress-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. K., and Weng, G. J. (2000). “The connections between the double-inclusion model and the Ponte Castaneda-Wills, Mori-Tanaka, and Kuster-Toksoz models.” Mech. Mater., 32, 495–503.
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.
Popovics, S. (1973). “A numerical approach to the complete stress-strain curve of concrete.” Cem. Concr. Res., 3, 583–599.
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., 110, 126–135.
Wee, T. H., Chin, M. S., and Mansur, M. A. (1996). “Stress-stress relationship of high-strength concrete in compression.” J. Mater. Civ. Eng., 8(2), 70–76.
Weng, G. J. (1984). “Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusion.” Int. J. Eng. Sci., 22, 845–856.
Weng, G. J. (1990). “The theoretical connections between Mori-Tanaka’s theory and the Hashin-Shtriman bounds.” Int. J. Eng. Sci., 28, 1111–1120.
Weng, G. J. (1992). “Explicit evaluation of Willis’ bounds with ellipsoidal inclusions.” Int. J. Eng. Sci., 30, 83–92.
Willis, J. R. (1977). “Bounds and self-consistent estimates for the overall properties of anisotropic composites.” J. Mech. Phys. Solids, 25, 185–202.
Yi, S. T., Kim, J. K., and Oh, T. K. (2003). “Effect of strength and age on the stress-strain curves of concrete specimens.” Cem. Concr. Res., 33, 1235–1244.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 12December 2008
Pages: 1045 - 1052

History

Received: May 5, 2006
Accepted: Mar 31, 2008
Published online: Dec 1, 2008
Published in print: Dec 2008

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Dinesh R. Kattti

Authors

Affiliations

Tsung-Hui Kuo
Teacher, Kangshan Agricultural and Industrial Vocational Senior High School, Kangshan 820, Taiwan.
Huang Hsing Pan [email protected]
Professor, Dept. of Civil Engineering, Kaohsiung Univ. of Applied Sciences, Kaohsiung 807, Taiwan (corresponding author). E-mail: [email protected]
George J. Weng [email protected]
Professor, Dept. of Mechanical and Aerospace Engineering, Rutgers Univ., New Brunswick, NJ 08903. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share