Critical-State Shear Strength and Pore Pressure of Granular Materials
Publication: International Journal of Geomechanics
Volume 21, Issue 12
Abstract
The plane-strain critical-state friction angle is an important soil parameter in the design of geotechnical projects. The static angle of repose, which is the same as the plane-strain critical-state friction angle for normally consolidated cohesionless soil, was measured in the laboratory in this investigation. The experimental results were used to validate the relationship between the static angle of repose and the interparticle sliding friction. This relationship accounts for the dilatancy developed in the plane-strain critical state and its corresponding pore pressure coefficient at constant volume. In order to develop this relationship, the law of conservation of energy and the limit-equilibrium analysis were employed in a bidimensional plane-strain micromechanical model for the granular media in the critical state. The framework described in this paper accounts for the evolution of shearing resistance with porosity and establishes theoretical porosity thresholds for the contractive, dilative, and collapsible behavior. The results produced by the theory developed herein compared well with the present experimental results and those available in the literature.
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Acknowledgments
Financial support from the Natural Sciences and Engineering Research Council of Canada (NSERC) and Concordia University is gratefully acknowledged.
Notation
The following symbols are used in this paper:
- Acs,ps
- pore pressure coefficient of plane-strain critical-state shear failure;
- Acv,ps
- steady or intrinsic coefficient of pore pressure, known to be 1/3 according to Skempton (1954);
- Ap,ps
- pore pressure coefficient of critical-state failure due to geometrical interference;
- n
- porosity;
- nf
- porosity at plane-strain critical-state failure (also known as nc);
- ns
- porosity associated with a change of internal structure;
- critical porosity associated with soil collapsibility potential;
- α
- auxiliary angle defined herein in the particle-scale model of a pile standing at rest;
- β
- static angle of repose;
- external finally developed plane-strain critical-state friction angle;
- internal initially available plane-strain constant-volume friction angle;
- angle of grain crushing;
- angle of dilation/contraction normal to the shear plane;
- angle of geometrical interference ;
- angle of pushing or rearrangement; and
- interparticle sliding friction angle.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 12 • December 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Feb 23, 2021
Accepted: Aug 19, 2021
Published online: Sep 30, 2021
Published in print: Dec 1, 2021
Discussion open until: Mar 1, 2022
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