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letter
. 2019 Mar 25;12(6):982. doi: 10.3390/ma12060982
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
KJc 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
Sp) microcrack propagation resistance
Vpl volume of plastic deformation zone
V 0 mean volume occupied by each micro-crack
dV differential volume
ΔV 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
σ1,0 maximum principal stress at initial yielding of a volume dV
σth threshold stress
σ d resistance to microcrack nucleation
εp plastic strain
ϕ(m) numerical coefficient