|
D
|
fatigue damage |
|
Di
|
cumulative damage at the ith loading cycle |
|
D
0
|
initial damage |
|
D
c
|
critical damage |
|
m′
|
strengthening coefficient |
|
N
|
loading cycles |
|
ni
|
loading cycles of the ith-level load |
|
N
f
|
fatigue life |
|
Ni
*
|
equivalent fatigue life subjected to the ith-level load |
|
Yi
|
cyclic ratio |
|
|
membership function |
|
Σ
|
stress |
|
σi
|
stress of the ith-level load |
|
σ
a
|
stress amplitude |
|
σ
F
|
lower limit of strengthening stress |
|
σ
m
|
mean stress |
|
σ
max
|
maximum stress |
|
σ
min
|
minimum stress |
|
σ
0
|
fatigue limit |
|
b0, M0, α, β
|
material parameters |
|
k, α′, β′, σc
|
membership function parameters |