Page 18 - Analysis and Design of Energy Geostructures

List of symbols xix

Roman symbols
Symbol Variable name Unit measure
Shear modulus at a reference point Pa
G ref
Shear modulus of soil Pa
G soil
Shear modulus of soil at the level of pile base Pa
G soil;b
Shear modulus of soil around pile shaft Pa
G soil;s
0 Time-dependent part of the thermal resistance per unit of length C/(W m)
G
f
2
00 Time-dependent part of the thermal resistance per unit of surface C/(W m )
G
f
Soil shear modulus at small strains Pa
G 0
Plastic potential function
g
Shape factor
g a
Shape factor
g c
Deviatoric plastic potential function
g dev
Gravity vector m/s 2
g i
Isotropic plastic potential function
g iso

g l
Vector containing g iso and g dev
Total head m
H
m
Specimen height at loading step i
H i
H 0 Initial specimen height m
Hardening variable Variable
~ h
Local convection heat transfer coefficient; contact conductance W/(m 2 C)
h c
Reinforcement depth m
h c;ef
Convection heat transfer coefficient in fully developed region W/(m 2 C)
h c;fd
Inner convection heat transfer coefficient W/(m 2 C)
h c;in
Outer convection heat transfer coefficient W/(m 2 C)
h c;out
Portion of convection coefficient associated to natural convection W/(m 2 C)
h c;n
Portion of convection coefficient associated to forced convection W/(m 2 C)
h c;f
Convection heat transfer coefficient in thermal entrance region W/(m 2 C)
h c;ent
Mean convection heat transfer coefficient in thermal entrance region W/(m 2 C)
h c;ent
Vector of hardening variables Variable
~ h i

Convective heat transfer coefficient W/(m C)
h in
Kozeny constant
h K
Head losses m
h L
Model depth m
h l
Pressure head m
h p
Radiation heat transfer coefficient W/(m C)

h r
Velocity head m
h v
Elevation head m
h z
h 1 Apex water
h 0 Water adsorbed as a film around the soil particles
Plasticity index
I p
Rigidity index
I r
Relative dilatancy index
I R
First invariant of the deviatoric stress tensor Pa
I 1
Second invariant of the deviatoric stress tensor Pa
I 2
I 3 Third invariant of the deviatoric tensor Pa
Lu parameter
i
Second moment of area of the section
J
J B;0 First kind Bessel function of the first order
J B;1 First kind Bessel function of the second order
First kind Bessel function of n order
J B;n