One-Dimensional Compression Fractal Theory and Experimental Verification of Coarse-Grained Soil
Publication: International Journal of Geomechanics
Volume 24, Issue 8
Abstract
Coarse-grained soil particles are suspectible to breakage under high-stress conditions, with particle breakage being the main reason for the compression of samples. The compression coefficient λ in the e–log σ′ curve is closely related to the degree of particle breakage. In this paper, a term representing surface energy caused by particle breakage was added to the energy conservation equation. The variation of surface area per unit volume of sample was described by fractal dimension, and then the relationship between fractal dimension and vertical stress was established. Finally, the theoretical formula of the compression coefficient was obtained, and the fractal theoretical model of one-dimensional compression deformation of coarse-grained soil was established. The compression coefficient is related to surface free energy, internal friction angle, shape factor, and initial particle size. In addition, calcareous sand and gypsum were selected for one-dimensional compression tests at high stress. With the increase of initial particle size, the compression coefficient increases. According to the relationship between fractal dimension and vertical stress, the theoretical value of the compression coefficient was obtained. The theoretical value is very close to the experimental value, which proves that the fractal theory of one-dimensional compression deformation of coarse-grained soil is correct.
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Data Availability Statement
All data, models, and codes generated or used during the study appear in the published article.
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grant Nos. 41630633 and 41877211).
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Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 24 • Issue 8 • August 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: May 28, 2023
Accepted: Feb 1, 2024
Published online: May 17, 2024
Published in print: Aug 1, 2024
Discussion open until: Oct 17, 2024
ASCE Technical Topics:
- Coarse-grained soils
- Compression
- Continuum mechanics
- Deformation (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Fractals
- Geomechanics
- Geometry
- Geotechnical engineering
- Materials engineering
- Mathematics
- Particles
- Soil compression
- Soil deformation
- Soil dynamics
- Soil mechanics
- Soils (by type)
- Solid mechanics
- Static loads
- Statics (mechanics)
- Structural dynamics
- Structural mechanics
- Vertical loads
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