Stress Intensity Factor for Through Thickness Flaws and J Integral

In this section, the aim is studying about the crack opening v, around the crack tip. We need to use the results of this section to analyse threedimensional cracks. It necessary to rewrite Eq. (6.4.27), which is:

2µ κφ φ ψu i v z z z z+( )= ( ) − ( ) − ( )' ' (6.4.27)

Also in Chapter 7, when we studied Westergaard functions, we said that ψ ' z( ) and ϕ z( ) are related via Eq. (7.3.5) as follows:

ψ φ φ' 'z z z z A z( ) = ( ) − ( ) + (7.3.5)

Moreover, we rewrite the definition of Westergaard function as well.