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

Rachdi, Sara; Jahangir, Emad; Tijani, Michel; Serratrice, Jean-François

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

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Jean-François Serratrice

Serratrice, Jean-François

30 dic 2019

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Studia Geotechnica et Mechanica

Volumen 41 (2019): Edición 4 (Diciembre 2019)

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Categoría del artículo: Research Articles

Publicado en línea: 30 dic 2019

Páginas: 247 - 262

Recibido: 20 may 2019

Aceptado: 11 jul 2019

DOI: https://doi.org/10.2478/sgem-2019-0024

Palabras clave
constitutive models, critical state, overconsolidated clay, shear loading, deviatoric hardening

© 2019 Sara Rachdi et al. published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Schematic representation of the compressibility of a soil.

Shear yield surface hardening with plastic shear strains.

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

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

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

Simulation of pure triaxial shearing at constant effective pressure p.

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

Enhancement of the unloading simulation.

CASM parameters for different clays_

Model parameter	r	n	m
London clay	2.0	1.8	2.5
Weald clay	2.714	4.5	2.9
Boom clay	2.4	2.0	2.0

MCC and SCSM parameters for different clays_

Model parameter	ν	κ	λ	M	M₀	M_∞	a	l
London clay	0.25	0.064	0.168	0.85	0.8	1.1	0.005	2
Weald clay	0.2	0.025	0.093	0.9	0.7	1.1	0.001	2
Boom clay	0.3	0.017	0.03	0.71	0.4	0.8	0.0025	2

MCC, SCSM and CASM parameters for the grey marl_

MCC			SCSM				CASM

ν	κ	λ	M	M₀	M_∞	a	l	r	n	m
0.3	0.017	0.04	0.98	0.4	1.3	0.0017	2	1.8	3.5	3.0

Reference material parameters_

𝒱	ⲕ	λ	M	M₀	M_∞	a	l
0.25	0.08	0.168	0.85	0.17	1.27	0.005	2

Studied models standardized formulation_

	MCC	CASM	SCSM
α	ζ	ζ	(ζ,γ)
ϕ(p,α)	$M_{p} {[(\frac{p_{c}}{p} - 1)]}^{1 / 2}$ ${{M}_{p}}{{\left[ \left( \frac{{{p}_{c}}}{p}-1 \right) \right]}^{1/2}}$	$M p {[\frac{1}{l n r} l n (\frac{p_{c}}{p})]}^{1 / n}$ $Mp{{\left[ \frac{1}{ln\,\,r}ln\left( \frac{{{p}_{c}}}{p} \right) \right]}^{1/n}}$	$M_{γ} (γ) p {[l n (\frac{p_{c}}{p})]}^{\frac{1}{2}};$ ${{M}_{\gamma }}\left( \gamma \right)p{{\left[ ln\left( \frac{{{p}_{c}}}{p} \right) \right]}^{\frac{1}{2}}};$
			$M_{γ} (γ) = \frac{M_{\infty} γ + Μ_{0} a}{γ + a}$ ${{M}_{\gamma }}\left( \gamma \right)=\frac{{{M}_{\infty }}\gamma +{{M}_{0}}a}{\gamma +a}$
ψ(η,α)	$\frac{η [1 - {(\frac{M}{η})}^{2}]}{2}$ $\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{2}} \right]}{2}$	$\frac{η [1 - {(\frac{M}{η})}^{n}]}{m}$ $\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{n}} \right]}{m}$	$\frac{η [1 - {(\frac{M}{η})}^{l}]}{l}$ $\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{l}} \right]}{l}$
Parameters	M	M,r,n,m	M_∞,M₀,a,M,l
η-ψ(η,α)>0		m>1	l>1

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Temas de la revista:: Geociencias, Geociencias, otros, Ciencia de los materiales, Compuestos, Materiales porosos, Física, Mecánica y dinámica de fluidos

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

Categoría del artículo: Research Articles

Publicado en línea: 30 dic 2019

Páginas: 247 - 262

Recibido: 20 may 2019

Aceptado: 11 jul 2019

DOI: https://doi.org/10.2478/sgem-2019-0024

Palabras clave
constitutive models, critical state, overconsolidated clay, shear loading, deviatoric hardening

© 2019 Sara Rachdi et al. published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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CASM parameters for different clays_

MCC and SCSM parameters for different clays_

MCC, SCSM and CASM parameters for the grey marl_

Reference material parameters_

Studied models standardized formulation_

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

Sara Rachdi

Emad Jahangir

Michel Tijani

Jean-François Serratrice

Categoría del artículo: Research Articles

Publicado en línea: 30 dic 2019

Páginas: 247 - 262

Recibido: 20 may 2019

Aceptado: 11 jul 2019

DOI: https://doi.org/10.2478/sgem-2019-0024

Palabras claveconstitutive models, critical state, overconsolidated clay, shear loading, deviatoric hardening

© 2019 Sara Rachdi et al. published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

Figure 10

Figure 11

CASM parameters for different clays_

MCC and SCSM parameters for different clays_

MCC, SCSM and CASM parameters for the grey marl_

Reference material parameters_

Studied models standardized formulation_

Palabras clave
constitutive models, critical state, overconsolidated clay, shear loading, deviatoric hardening