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Keywords
(14)
Continuum Mechanics
Effective Stress
Equilibrium Analysis
Experimental Data
Free Energy
Pore Size
Shear Strength
Soil Mechanics
Soil Water
Soil Water Retention
Soil Water Characteristic Curve
Spectrum
Thermodynamics
Unsaturated Soil
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A closedform equation for effective stress in unsaturated soil
A closedform equation for effective stress in unsaturated soil,10.1029/2009WR008646,Water Resources Research,Ning Lu,Jonathan W. Godt,David T. Wu
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A closedform equation for effective stress in unsaturated soil
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Ning Lu
,
Jonathan W. Godt
,
David T. Wu
We propose that the recently conceptualized suction stress characteristic curve represents the
effective stress
for the
shear strength
behavior of unsaturated soil. Mechanically, suction stress is the interparticle stress called tensile stress. The working hypothesis is that the change in the energy of
soil water
from its free water state is mostly consumed in suction stress. We demonstrate that the suction stress lies well within the framework of
continuum mechanics
where
free energy
is the basis for any thermodynamic formulation. Available
experimental data
on soil water characteristic curves and suction stress characteristic curves are used to test the hypothesis, thus validating a closedform equation for
effective stress
in unsaturated soil. The proposed closedform equation is intrinsically related to the
soil water characteristic curve
by two pore parameters: the air entry pressure and
pore size
spectrum
number. Both semiquantitative and quantitative validations show that the proposed closedform equation well represents
effective stress
for a variety of earth materials ranging from sands to clays. Of important practical implications are (1) the elimination of the need for any new
shear strength
criterion for unsaturated soil, (2) the elimination of the need for determining the Bishop's
effective stress
parameter χ because the new form of
effective stress
is solely a function of soil suction, and (3) the ready extension of all classical
soil mechanics
work on limit
equilibrium analysis
to
unsaturated soil
conditions.
Journal:
Water Resources Research  WATER RESOUR RES
, vol. 46, no. 5, 2010
DOI:
10.1029/2009WR008646
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References
(21)
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(
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(
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