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. 2020 Aug 10;12(8):1788. doi: 10.3390/polym12081788
UF external work caused by the change of the potential energy of the liquid
UF(a) the UF when r = a
Ua energy absorbed by the enclosed air
Ua(a) the Ua when r = a
Uef elastic strain energy stored in the blistering thin film
Uef(a) the Uef when r = a
Ud energy released on the delamination region
G energy release rate
K proportional coefficient
S area of the circular delamination region
a radius of the circular delamination region
R 0 radius of the hole in the rigid substrate
R inner radius of the container
H 1 initial height of the air in left container
H height of the liquid added to the right container each time
h 1,i height of liquid in the left container after step i of loading operation
h 2,i height of liquid in the right container after step i of loading operation
ρ density of the liquid in the container
g acceleration of gravity
P pressure of gas
V volume of gas
N number of gas molecules per unit volume
K Boltzmann constant
T temperature of gas
V 0 initial volume of the air in left container
Vn volume of the air in left container after the step n of loading operation
r radial coordinate
w transversal displacement
u radial displacement
h thickness of the membrane
θ slope angle of the deflected membrane
σr radial stress
σt circumferential stress
er radial strain
et circumferential strain
E Young’s modulus of elasticity
ν Poisson’s ratio
x dimensionless form of r
Q dimensionless form of q
W dimensionless form of w
U dimensionless form of u
Sr dimensionless form of σr
St dimensionless form of σt
bi, ci, di coefficients of Sr, St and W