Symbol
|
Description
|
Unit
|
AIR(z) |
Contact area of the inner sealing ridge under deformation |
mm2
|
APmax(z) |
Area of the maximal pore as a function of ridge immersion |
mm2
|
ATmax, AVmax
|
Maximum cross-sectional areas of the top peak and the valley peak, respectively |
mm2
|
b(z) |
Contact width of the inner sealing ridge |
mm |
B
0
|
Linear strain–displacement transformation matrix |
no unit |
B
L
|
Linear strain–displacement transformation matrix, which depends on the displacement |
no unit |
B
N
|
Nonlinear strain–displacement transformation matrix |
no unit |
D, Df
|
Fractal dimension and fractal dimension of tortuous capillaries, respectively |
no unit |
D
|
Elasticity matrix |
no unit |
E, Eu
|
Young modulus, elastic, and tangent in plastic zone, respectively |
MPa |
G
|
Fractal roughness constant |
no unit |
h
|
Height of the porous structure |
mm |
K
0
|
Small displacement stiffness matrix |
no unit |
K
d
|
Large displacement stiffness matrix |
no unit |
K
T
|
Tangent stiffness matrix |
no unit |
KV
|
Permeability |
mm2
|
K
σ
|
Initial stress matrix dependent on the stress level |
no unit |
lTmax, lVmax
|
Base lengths of the maximum top peak and valley peak, respectively |
mm |
L
|
Sample length |
mm |
n
|
Frequency index of asperities |
no unit |
M
|
Number of superposed ridges |
no unit |
po, pt
|
Pressure inside and outside of the cylinder, respectively |
MPa |
PPmax(z) |
Perimeter of the pore as a function of ridge immersion |
mm |
PTmax, PVmax
|
Perimeters of the maximum top peak and valley peak, respectively |
mm |
Qm
|
Mass flow per perimeter |
mg/(s·m) |
ri, ro, rIRi, rIRo, rIRm, rAV
|
Radius, inner, outer, and inner of the inner ridge, outer of the inner ridge, mean of the inner ridge, and average radius of the cylinder, respectively |
mm |
Rp
02
|
Yield strength |
MPa |
S
|
Cross-section of the flow |
mm2
|
S
|
Piola–Kirchhoff second stress tensor |
no unit |
T
|
Temperature |
°C |
x, y, z
|
Coordinates in vertical and horizontal positions, respectively |
mm |
α |
Opening angle of the sealing ridge |
° |
αc
|
Coefficient of the thermal expansion |
1/°C |
δTmax, δVmax
|
Maximum height of the top peak and valley peak, respectively |
mm |
ΔF
|
Difference between applied force and resistance force (vector) |
no unit |
ΔU
|
Generalised displacement vector |
no unit |
ε(z) |
Porosity level as a function of ridge immersion |
no unit |
η |
Dynamic viscosity |
Pa·s |
λmax, λmin
|
Diameter of the pore, maximum and minimum, respectively |
mm |
ν |
Poisson ratio |
no unit |
ρ |
Fluid density |
kg/m3
|
γ |
Frequency spectrum |
no unit |
τ |
Tortuosity of the capillaries |
no unit |
|
Random number |
no unit |