Issue 32
N. Bisht et alii, Frattura ed Integrità Strutturale, 32 (2015) 1-12; DOI: 10.3221/IGF-ESIS.32.01
v A r 
| | lim
(11)
r
0
Figure 7 : Representation of nodes on crack face used for crack analysis.
The Eq. (7) becomes 2 2 I K  
GA
(12)
k
Similarly
| | u C Dr r  
(13)
At point I of Fig. 7 u=0 Hence, in the limiting condition
u C r 
| | lim
(14)
r
0
and Eq. (8) becomes,
GC
K
(15)
2
II
k
1
Similarly for evaluating K III
, using
| | w E Fr r  
(16)
and at point I of Fig. 7 w=0 and Eq. 9 in the limiting condition becomes,
0 | | lim w E r 
(17)
r
Thus, Eq. 9 becomes 2 III K 
GE 
(18)
6
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