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Critical state constitutive models and shear loading of overconsolidated clays with deviatoric hardening


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Figure 1

Schematic representation of the compressibility of a soil.
Schematic representation of the compressibility of a soil.

Figure 2

Shear yield surface hardening with plastic shear strains.
Shear yield surface hardening with plastic shear strains.

Figure 3

Response of a drained triaxial test.
Response of a drained triaxial test.

Figure 4

Response of a drained triaxial test.
Response of a drained triaxial test.

Figure 5

Simulation of undrained compression of London clay for normally consolidated and overconsolidated states.
Simulation of undrained compression of London clay for normally consolidated and overconsolidated states.

Figure 6

Simulation of drained compression of Weald clay for normally consolidated and overconsolidated states.
Simulation of drained compression of Weald clay for normally consolidated and overconsolidated states.

Figure 7

Simulation of drained compression of Boom clay for normally consolidated and overconsolidated states.
Simulation of drained compression of Boom clay for normally consolidated and overconsolidated states.

Figure 8

Simulation of pure triaxial shearing at constant effective pressure p.
Simulation of pure triaxial shearing at constant effective pressure p.

Figure 9

Loading path..
Loading path..

Figure 10

Simulation of specific stress controlled triaxial tests on a gray marl at different stress levels.
Simulation of specific stress controlled triaxial tests on a gray marl at different stress levels.

Figure 11

Enhancement of the unloading simulation.
Enhancement of the unloading simulation.

CASM parameters for different clays.

Model parameterrnm
London clay2.01.82.5
Weald clay2.7144.52.9
Boom clay2.42.02.0

MCC and SCSM parameters for different clays.

Model parameterνκλMM0Mal
London clay0.250.0640.1680.850.81.10.0052
Weald clay0.20.0250.0930.90.71.10.0012
Boom clay0.30.0170.030.710.40.80.00252

MCC, SCSM and CASM parameters for the grey marl.

MCCSCSMCASM
νκλMM0Malrnm
0.30.0170.040.980.41.30.001721.83.53.0

Reference material parameters.

𝒱λMM0Mal
0.250.080.1680.850.171.270.0052

Studied models standardized formulation.

MCCCASMSCSM
αζζ(ζ,γ)
ϕ(p,α)Mp[(pcp1)]1/2${{M}_{p}}{{\left[ \left( \frac{{{p}_{c}}}{p}-1 \right) \right]}^{1/2}}$Mp1lnrlnpcp1/n$Mp{{\left[ \frac{1}{ln\,\,r}ln\left( \frac{{{p}_{c}}}{p} \right) \right]}^{1/n}}$Mγ(γ)p[ln(pcp)]12;${{M}_{\gamma }}\left( \gamma \right)p{{\left[ ln\left( \frac{{{p}_{c}}}{p} \right) \right]}^{\frac{1}{2}}};$
Mγ(γ)=Mγ+Μ0aγ+a${{M}_{\gamma }}\left( \gamma \right)=\frac{{{M}_{\infty }}\gamma +{{M}_{0}}a}{\gamma +a}$
ψ(η,α)η[1(Mη)2]2$\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{2}} \right]}{2}$η[1(Mη)n]m$\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{n}} \right]}{m}$η[1(Mη)l]l$\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{l}} \right]}{l}$
ParametersMM,r,n,mM,M0,a,M,l
η-ψ(η,α)>0m>1l>1
eISSN:
2083-831X
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
4 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Geowissenschaften, andere, Materialwissenschaft, Verbundwerkstoffe, Poröse Materialien, Physik, Mechanik und Fluiddynamik