Lecture 10: Stress-strain response (1)
Review L9
Modulus: Youngs, Bulk, Elastic, Shear
Shear modulus reduction curve + strain thresholds/regimes
This lecture: hyperbolic model + MC failure criteria
Hyperbolic Model
Gmax
Hyperbolic model: W
f
where a
Modul
Lecture 5: Particulate Media (Soil Mass)
Review L4
* Size, Shape, Specific surface, Clay
* Salt hydration, Double layer thickness
Grain size distribution
Coefficient of curvature: Cc
d 302
d10 d 60
Coefficient of uniformity: Cu
d 60
d10
Soil: Multiphase m
Lecture 8: Stress (State)
Basic definitions
Stress: V
F A
dimension: MT-2L-1
Strain: H
L
dimensionless
0
L f L0
For linear elasticity: V
EH , where E is the modulus (stiffness), with the same dimension as stress
Shear mode for soils:
W
Note: J Eng
GJ , w
Lecture 10: Stress-strain response (1)
Review L9
Modulus: Youngs, Bulk, Elastic, Shear
Shear modulus reduction curve + strain thresholds/regimes
Hyperbolic Model
Gmax
Hyperbolic model: W
f
where a
Modulus reduction curve:
r
J
f (J )
where J r
a bJ
1
1
,b