|
PL
|
critical internal pressure |
σr
|
radial stress |
|
E
0
|
energy released by wrinkles |
σθ
|
circumferential stress |
|
E
1
|
strain energy in unwrinkled tube |
εr
|
radial strain |
|
E
2
|
strain energy in wrinkled tube |
εθ
|
circumferential strain |
|
A
|
area where wrinkles appear |
f
|
friction coefficient |
|
|
the height of wrinkles |
t
|
thickness of the tube |
|
S
|
the length of wrinkles |
L
|
length of the tube |
|
y
|
the shape of the wrinkled part |
Y
|
correction coefficient when upsetting |
|
a
|
the frequency of the mode |
Pcr
1
|
critical wrinkling pressure |
|
r
|
internal diameter |
Pcr
2
|
critical rupturing pressure |
|
K
|
strength coefficient |
M
|
correction coefficient when bulging |
|
n
|
strain hardening exponent |
Ps
|
critical yield pressure |
|
R
|
anisotropy coefficient |
Pcr
|
selectable internal pressure |
|
ε
0
|
pre-strain |
|
|