z
Figure 3-1: Crack tip nodal displacement of isotropic elastic material for calcula-
tion of Stress Intensity Factors of Mode I, II and III
computed by equation (3.2) [28] [29]1.
K,
K i [B]-1 [A] 2l
Kill
Where L1 is the element length along the crack face and {A} is given as
2uB uc + 2UE uF +UD + T(-4UB + UC + 4UE UF)+
2(UF + UC 2D)
2VB vc + 2VE F+ VD + Tl(-VB + VC + 4VE VF)+
2WB Wc + 2WE WpF + WD + T(-4WB + WCE + 4WE WF)+
lr>2(wF + wc 2wD)
(3.2)
(3.3)
1 The details of the equation are given in Appendix B