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. 2023 Feb 17;16(4):1680. doi: 10.3390/ma16041680
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
φ 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