Two-Phase Composite Model for High Performance Cementitious Composites
Publication: Journal of Engineering Mechanics
Volume 128, Issue 12
Abstract
This paper presents a new constitutive model for fiber reinforced cementitious composite materials (FRCC), which is particularly suitable for High Performance Cementitious Composites (HP2C). The model is a two-phase composite model, one phase presenting the matrix, the other the composite fibers. In addition, the matrix–fiber interaction is taken into account as internal cross effects (i.e., thermodynamic couplings) between the irreversible deformations of the composite constituents. From one-dimensional thermodynamics, the partial stresses in the matrix and fibers are derived as thermodynamic forces associated with the irreversible deformations of matrix and fibers, respectively. Next, the identification of the model parameters from tensile data is detailed. In particular, it is shown that the model allows quantification of the ductility enhancement of HP2C in comparison with ordinary FRCC, through two material parameters derived from the constitutive model: a matrix–fiber coupling modulus and a friction-to-fracture strength ratio, to which we refer as ductility ratio. The physical significance of these model parameters is discussed in the context of micromechanical theory. The coupling modulus is found to depend mainly on the fiber volume fraction and the matrix quality. The ductility ratio depends on four material design parameters, which are intrinsic to the matter, and which are not affected by structural size effects. We conclude that any ductility gain, which can be obtained through the use of HP2C, is only related to the mix design, and not to structural dimensions.
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Published In
Journal of Engineering Mechanics
Volume 128 • Issue 12 • December 2002
Pages: 1314 - 1323
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jul 16, 2001
Accepted: Apr 24, 2002
Published online: Nov 15, 2002
Published in print: Dec 2002
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