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

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

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

Studia Geotechnica et Mechanica

Volume 41 (2019): Issue 4 (December 2019)

By:

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

Open Access

|Dec 2019

Figures & Tables

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*)	Mp[(pcp−1)]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)=M∞γ+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$\frac{\eta \left[ 1-{{(\frac{M}{\eta })}^{l}} \right]}{l}$
Parameters	M	*M,r,n,m*	M_∞,M₀,*a,M,l*
*η-ψ(η,α*)>0		m>1	l>1

DOI: https://doi.org/10.2478/sgem-2019-0024 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 247 - 262

Submitted on: May 20, 2019

Accepted on: Jul 11, 2019

Published on: Dec 30, 2019

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

constitutive models,

critical state,

overconsolidated clay,

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2019 Sara Rachdi, Emad Jahangir, Michel Tijani, Jean-François Serratrice, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Figures & Tables

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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_

Paradigm

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