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

Made with FlippingBook Ebook Creator