Effective Elastic Properties of Fiber‐Reinforced Concrete with Random Fibers
Publication: Journal of Engineering Mechanics
Volume 117, Issue 12
Abstract
A theoretical investigation has been carried out to determine the effective properties of fiber-reinforced concrete with randomly oriented fibers. Two analytical approaches have been considered: one with continuous cylindrical fibers based on the composite cylinders model and the other with prolate spheroid fibers based on the Mori-Tanaka averaging scheme. In both cases, initial analysis has been carried out for a transversely isotropic medium (aligned fibers in concrete) and then a geometric averaging procedure has been performed to convert these properties to the effective properties of the isotropic composite (concrete with randomly oriented fibers). An asymptotic prediction has also been made for the effective properties, valid for very low concentration of fibers.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Benveniste, Y. (1987). “A new approach to the application of Mori‐Tanaka's theory in composite materials.” Mech. Materials, 6, 147.
2.
Christensen, R. M. (1979). Mechanics of composite materials. John Wiley and Sons, New York, N.Y.
3.
Christensen, R. M., and Waals, F. M. (1972). “Effective stiffness of randomly oriented fiber composites.” J. Comp. Mater., 6, 518.
4.
Eshelby, J. D. (1957). “The determination of the elastic field of an ellipsoidal inclusion and related problems.” Proc. Roy. Soc, A241, 376.
5.
Hashin, Z., and Rosen, B. W. (1964). “The elastic moduli of fiber‐reinforced materials.” J. Appl. Mech., 31, 223.
6.
Hashin, Z., and Shtrikman, S. (1963). “A variational approach to the theory of the elastic behavior of multiphase materials.” J. Mech. Phys. Solids., 11, 127.
7.
Komlos, K. (1975). “Strength and deformation properties of concrete reinforced with randomly spaced steel and basalt fibers.” RILEM Symp. on Fiber Reinforced Cement and Concrete, A. Neville, ed.
8.
Mori, T., and Tanaka, K. (1973). “Average stress in matrix and average energy of materials with misfitting inclusions.” Act. Metall., 21, 571.
9.
Mura, T. (1987). “Micromechanics of defects in solids.” 2nd Ed., Dordrecht, Martinus Nijhoff.
10.
Weng, G. J. (1984). “Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions.” Int. J. Engrg. Sci., 22, 845.
11.
Williamson, G. R. (1974). “The effect of steel fibers on the compressive strength of concrete.” Int. Symp. on Fiber Reinforced Concrete, American Concrete Institute.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 12 • December 1991
Pages: 2931 - 2938
Copyright
Copyright © 1991 ASCE.
History
Published online: Dec 1, 1991
Published in print: Dec 1991
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.