Investigation and Modification of a CSSM-Based Elastic–Thermoviscoplastic Model for Clay
Publication: International Journal of Geomechanics
Volume 22, Issue 10
Abstract
This paper examines the accuracy of a new elastic–thermoviscoplastic (E-TVP) constitutive model developed based on critical state soil mechanics. The model can be used for simulating the temperature-dependent and strain-rate-dependent behavior of clay soils. The study compares the E-TVP behavior of a single soil element with previously published thermo-mechanical experimental results performed on saturated clay specimens at different temperatures. Suggestions regarding unloading and reloading at constant temperatures as well as thermal consolidation under constant loads are presented. A modification for unloading–reloading adds a new criterion to the volumetric thermoviscoplastic strain rate formulation. A physics-based term is added to the current specific volume of the soil to include the viscous effect induced by temperature change. These modifications improve the convergence of laboratory data and simulated model responses. Comparisons of results from an earlier E-TVP model and the newly improved model provide evidence of improved predictive capabilities.
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Acknowledgments
This research was supported by the New Frontiers in Research Fund - Exploration Grant [NFRFE-2018-00966] and a University of Manitoba Graduate Fellowship (2019–2020).
Notation
The following symbols are used in this paper:
- G′
- effective shear modulus;
- g
- plastic potential;
- M
- slope of critical state line;
- N
- location of isotropic normal compression line in V − ln(p′) plane at p′ = 1 kPa;
- p′
- mean effective stress;
- isotropic mean effective stress (reference size of plastic potential);
- mean effective stress on the normal compression line at its intersection with the URL;
- reference size of yield locus;
- q
- deviator stress;
- S
- scalar multiplier;
- sij
- deviator stress tensor;
- T
- temperature;
- t
- time elapsed from the end of primary consolidation;
- t0
- time corresponding to the end of primary consolidation;
- V
- specific volume;
- u
- pore water pressure;
- Vm
- isotropic specific volume;
- Z
- location of VPL in V − ln(p′) plane at p′ = 1 kPa;
- γ
- viscosity parameter;
- δij
- Kronecker delta;
- ɛp
- volumetric strain;
- ɛq
- deviator strain;
- ɛij
- strain tensor;
- viscoplastic volumetric strain rate;
- κ
- slope of URL in V − ln(p′) plane;
- λ
- slope of normal compression line in V − ln(p′) plane; and
- ψT
- temperature-dependent slope of secondary compression line in V − ln(p′).
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© 2022 American Society of Civil Engineers.
History
Received: Jan 25, 2021
Accepted: Mar 27, 2022
Published online: Jul 20, 2022
Published in print: Oct 1, 2022
Discussion open until: Dec 20, 2022
ASCE Technical Topics:
- Clays
- Elastic analysis
- Engineering fundamentals
- Geomechanics
- Geotechnical engineering
- Material mechanics
- Materials engineering
- Measurement (by type)
- Model accuracy
- Models (by type)
- Saturated soils
- Simulation models
- Soft soils
- Soil mechanics
- Soil properties
- Soils (by type)
- Strain
- Strain rates
- Structural analysis
- Structural engineering
- Temperature effects
- Temperature measurement
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