|
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 |