Mohr-Coulomb Model

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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. Mohr-Coulomb Model. Computational Geotechnics. Contents.

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### Mohr-Coulomb Model

Short Course on Computational Geotechnics + Dynamics

January 5-8, 2004

Stein Sture

Professor of Civil Engineering

Mohr-Coulomb Model

Computational Geotechnics

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

Mohr-Coulomb Model

Computational Geotechnics

Basic Concepts of Mohr-Coulomb Model

Bilinear approximation of triaxial test

Basic law:

Mohr-Coulomb Model

Computational Geotechnics

Mohr-Coulomb Soil Modeling

Flow rule for plastic strain:

This means: , , etc.

Mohr-Coulomb Model

Computational Geotechnics

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

Mohr-Coulomb Model

Computational Geotechnics

Mohr-Coulomb Soil Modeling

Nonlinear Failure Envelope Representation

Mohr-Coulomb Model

Computational Geotechnics

Mohr-Coulomb Soil Modeling

Friction Angle Definitions

Mohr-Coulomb Model

Computational Geotechnics

Mohr-Coulomb Soil Modeling

Strength Envelopes for a Range of Soil Types

Mohr-Coulomb Model

Computational Geotechnics

Mohr-Coulomb Soil Modeling

Versus Relative Density and Unit Weight

Mohr-Coulomb Model

Computational Geotechnics

Friction Angle

Dilatancy Angle Relationships

Mohr-Coulomb Model

Computational Geotechnics

in which:

Mohr-Coulomb Model

Computational Geotechnics

for NC Clays vs. PI

Mohr-Coulomb Model

Computational Geotechnics

How to Understand y

Mohr-Coulomb Model

Computational Geotechnics

Drained Triaxial Test

(identical to biaxial test)