Mohr-Coulomb Model Short Course on Computational Geotechnics + Dynamics Boulder, Colorado January 5-8, 2004 Stein Sture Professor of Civil Engineering University of Colorado at Boulder
Contents Idealized and Real Stress-Strain Behavior of Soils Basic Concepts of Mohr-Coulomb Model Mohr-Coulomb Model Modeling Friction Angle Influence of Intermediate Principal Stress on Friction Angle Drained Simple Shear Test How to Understand Drained Triaxial Test Computational Geotechnics Mohr-Coulomb Model
Idealized and Real Stress-Strain Behavior of Soils Computational Geotechnics Mohr-Coulomb Model
Basic Concepts of Mohr- Coulomb Model Bilinear approximation of triaxial test Basic law: for reversible elastic strain irreversible plastic strain f = yield function Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling Flow rule for plastic strain: This means:,, etc. Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling a multiplier that determines the magnitude of plastic strains determines the direction of plastic strains Classical associated plasticity: g = f General non-associated plasticity: g f M-C model: f r – s sin – c cos : yield function g r – s sin – c cos : plastic potential function Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling Nonlinear Failure Envelope Representation Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling Friction Angle Definitions Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling Strength Envelopes for a Range of Soil Types Computational Geotechnics Mohr-Coulomb Model
Mohr-Coulomb Soil Modeling Versus Relative Density and Unit Weight Computational Geotechnics Mohr-Coulomb Model
Friction Angle Dilatancy Angle Relationships Computational Geotechnics Mohr-Coulomb Model
in which: Computational Geotechnics Mohr-Coulomb Model
for NC Clays vs. PI Computational Geotechnics Mohr-Coulomb Model
Influence of Intermediate Principal Stress on Friction Angle Computational Geotechnics Mohr-Coulomb Model
Influence of Intermediate Principal Stress on Friction Angle Computational Geotechnics Mohr-Coulomb Model
Drained Simple Shear Test Computational Geotechnics Mohr-Coulomb Model
How to Understand = + i or = - i i = inter particle angle of friction quartz sand: – 30 o Computational Geotechnics Mohr-Coulomb Model
Drained Triaxial Test (identical to biaxial test) Computational Geotechnics Mohr-Coulomb Model