Abstract
A uniaxial strain-softening constitutive model for fiber-reinforced soils is developed based on the disturbed state concept (DSC). The response in the relatively intact state is assumed to satisfy the Duncan–Chang model obtained from the prepeak stress–strain curve, while the fully adjusted state response satisfies the linear model obtained by an extension of the residual strength. The apparent stress–strain curve is a weighted average response derived from the two aforementioned response curves by a disturbance function that acts as the weight. The peak of the stress–strain curve and the postpeak stable point are assumed as the starting and ending points of the disturbance, respectively, which assign a reasonable physical sense to the parameters in the disturbance function. Comparisons of stress–strain curves and peak strength reveal that for a specified fiber, fiber content exhibits a greater influence on the reinforcement effect than fiber length. Five required parameters that vary with fiber content are used in the DSC model. Five sets of uniaxial compression test data of different fiber-reinforced soils are evaluated, and a high consistency between the stress–strain curves predicted by the DSC model and the test curves is noted. Both the consistency index δ and the energy absorption capacity reveal a satisfactory description of the fiber reinforcement effect.
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Acknowledgments
The work was supported by the National Natural Science Foundation of China (Grant Nos. 51878551, 51478385, and 51778528). Their support is greatly appreciated.
Notation
The following symbols are used in this paper:
- Ac
- area of the FA part;
- At
- total area of the material element;
- D
- disturbance function;
- Da
- disturbance value at different loading moments;
- Du
- limit value of the disturbance function;
- Ei
- initial tangent modulus;
- M
- postpeak modulus;
- N
- number of axial stress points of the stress–strain curve;
- axial stress of the FA state;
- axial stress of the RI state;
- XEi
- axial stress of the stress–strain curve measured by the uniaxial compression test;
- XPi
- axial stress of the predicted stress–strain curve;
- average value of the axial stress at each point of the measured stress–strain curve;
- Δ
- test-prediction difference;
- η
- fiber content;
- δ
- consistency index;
- σa
- apparent stress of the material;
- σFA
- stress in the FA state of the material element;
- σRI
- stress in the RI state of the material element;
- Σp
- peak strength;
- σr
- residual strength;
- σult
- ultimate strength;
- ɛ1
- axial strain;
- axial strain of the RI state;
- ɛp
- axial strain corresponding to the peak strength; and
- axial strain of the maximum curvature point of the postpeak curve.
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Published In
International Journal of Geomechanics
Volume 22 • Issue 7 • July 2022
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© 2022 American Society of Civil Engineers.
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Received: Nov 10, 2021
Accepted: Feb 7, 2022
Published online: May 3, 2022
Published in print: Jul 1, 2022
Discussion open until: Oct 3, 2022
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