A crack in an elastic material propagates, giving phenomenally viscoelastic behavior, in some stress intensity factor range. The upper limit of the range, K
IC, is expressed in terms of the nearest atomic distance, d
0, and Young's modulus, E, as K
IC = 0.9d
01/2E. The lower limit of the range, K
0, is not expressed in the similar form as K
IC, which causes some difficulty in the estimation of the safe factor for the stress, under which no crack propagates. The expression for K
0 was studied on a less empirical basis, using the expression for K
IC as well as the theoretical one for surface tension, γ
T. The following results were given: K
0 ∼ 0.5 K
IC, γ
T ∼ (1/11) d
0E, the theoretical strain limit, ε
f ∼ 0.3, for any material whose K
IC follows the expression, K
IC = 0.9d
01/2E. The “surface bond energy: γ
b”, the origin of K
IC expressed as K
IC = (2γ
bE)”
1/2, is related to γ
T as γ
b = 4γ
T. The estimated value of K
0 is in good agreement with literature values.
View full abstract