|
a
|
crack depth |
|
B, W, L
|
geometrical dimensions of a specimen |
|
Cm,n
|
numerical coefficient |
|
CT
|
compact tension |
|
E
|
Young’s modulus, MPa |
|
f(a) |
probability density function of microcrack size (a) distribution |
|
g(S) |
probability density function of microscopic cleavage strength (S) |
|
J
|
J-integral |
|
J
c
|
critical J-integral at cleavage fracture |
|
j
|
rank number |
|
Jmin, Kmin
|
threshold values |
|
J0, K0
|
scale parameters |
|
K
|
stress intensity factor |
|
|
critical stress intensity factor at cleavage fracture |
|
m, mJ, mK
|
Weibull modulus |
|
P
|
fracture probability |
|
p(V0) |
fracture probability of an elementary volume (V0) |
| S |
fracture strength |
|
S
|
microscopic cleavage fracture strength |
|
S(εp) |
microcrack propagation resistance |
|
Vpl
|
volume of plastic deformation zone |
|
V
0
|
mean volume occupied by each micro-crack |
|
dV
|
differential volume |
|
|
volume of a finite element |
|
ν
|
Poisson’s ratio |
|
σys
|
yield stress |
|
σ
0
|
scale parameter |
|
σw
|
Weibull stress |
|
σ
1
|
maximum tensile principal stress |
|
|
maximum principal stress at initial yielding of a volume
|
|
|
threshold stress |
|
σ
d
|
resistance to microcrack nucleation |
| εp
|
plastic strain |
|
|
numerical coefficient |