Skip to main content
. 2022 Mar 25;15(7):2427. doi: 10.3390/ma15072427
A auxiliary parameters [m3] or [kPa]
a width or minor axis of ellipse [m]
B auxiliary parameters [m5/kN] or [kPa]
b length or major axis of ellipse [m]
c auxiliary parameters [kPa]
D flexural rigidity (of glass pane) [kNm]
d thickness (of glass pane) [m] or [mm]
E Young’s modulus [kPa] or [GPa]
f diameter of circular IGU [m]
i consecutive natural number
k dimensionless coefficient regarding stress [-]
M molecular weight [g/mol]
p pressure [kPa]
q resultant load (of glass pane) or outside load [kN/m2]
R radius of circular IGU [m]
Ru universal gas constant [J/(K·mol)]
r coordinate in the polar system
T temperature (of gas in the gap) [K] or [°C]
U thermal transmittance [W/(m2·K)]
v volume (of the gap) [m3]
w deflection [m] or [mm]
w(r) function of deflection (circular IGU), [m]
w(x,y) function of deflection [m]
x-y coordinate system
Greek Letters
α proportionality factor, [m5/kN]
α dimensionless coefficient [-]
γ specific gravity of glass [kN/m3]
μ Poisson’s ratio [-]
π number “pi”
∑Δv change in gap volume [m3]
σ stress [MPa]
φ slope to horizontal [deg]
Subscripts and Markings
0 initial gas parameters
1, 2 … specific gas-filled gap
1-2, 2-3 … glass pane (between gaps)
a atmospheric
air regarding air
ex exterior glass pane
g index that relates to glazing
in interior glass pane
n number of gas gaps
op operating gas parameters
r regarding circular IGU
v index that relates to volume
w index that relates to deflection
z outside
γ index that relates to specific gravity