Page 32 - Analysis and Design of Energy Geostructures

List of symbols xxxiii

Greek symbols
Symbol Variable name Unit measure
Factor for frequent value of a variable action
ψ 1
Factor for quasipermanent value of a variable action
ψ 2
Haigh equation parameter
ψ H
Bessel function
ψ n
ϕ Bessel function
ϕ n 0 Angle of shear strength degrees
ϕ 0 Angle of shear strength in compression degrees
c
ϕ 0 Angle of shear strength in expansion degrees
e
ϕ 0 Angle of shear strength at critical state degrees
ϕ cv Body forces in the ϕ direction N/m 3
φ Angle degrees
[ Steel bar diameter m
ϖ Integration variable degrees
ω Angular frequency rad/s
Ω Displacement interaction factor; pile soil pile interaction factor;
corrected interaction factor
Ω m Displacement interaction factor for piles subjected to mechanical loads
Ω th Displacement interaction factor for piles subjected to thermal loads
Ω ~ Pile soil interaction factor; approximate interaction factor
Ω h l =L-N Displacement interaction factor for h l =L-N
Interaction factor between two piles
Ω s=D
Displacement interaction factor for ν soil 5 0.3
Ω ν soil 50:3
ξ Integration limit
Correlation factor
ξ 1 ; ξ 2 ; ξ 3 ; ξ 4
Haigh equation parameter
ξ H
Volume fractions
χ; χ i
Volume fraction of air
χ a
Volume fraction of soil particles
χ s
Volume fraction of water
χ w
χ E Curvature of cross section 1/m
Vector containing prescribed displacement functions m
ℱ i
ℋ Point of bounding surface
Operators, functions and counters
Symbol Name
dðÞ Increment operator
erfcðÞ Complementary Gaussian error function
@ Derivative
Δ Difference operator
P
Sum
lnðÞ Natural logarithm
r Gradient operator
r ∙ ðÞ Divergence operator
Counters
i; j; k; l; m; n