Residual Strength and Fatigue Lifetime of ... - Solid Mechanics

In Equations (1.5) and (1.6) H11, H22 and the oscillatory index are bimaterial constants
determined from the elastic stiffnesses of material 1 and 2:
where and n are non-dimensional orthotropic constants given in terms of the elements S11 and
S22 of the compliance matrix:
and The compliance elements for plane stress conditions are given by
8
(1.8)
(1.9)
(1.10)
(1.11)
(1.12)
For the plane strain condition a correction to the compliance terms is given as
where i and j are related to the x- and-y directions in the coordinate system shown in Figure 1.5.
The oscillatory index, , in Equations (1.6) and (1.7) is given as
(1.13)
(1.14)
where
The complex stress intensity factor can be related to the strain energy release rate by (Suo,
1989):
The mode-mixity phase angle as suggested by Hutchinson and Suo (1992) can be defined as
(1.15)
(1.16)