Skip to main content
. 2024 Oct 24;17(21):5194. doi: 10.3390/ma17215194
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
φa Random number no unit