Abstract
The three dimensional state of stress in a finite thick rectangular plate with a through-crack under tension is investigated. It is found that the in-plane stresses and the transverse normal stress are singular while the transverse shear stresses are of the order of unity. The only type of singularity encountered is that of inverse square root all through the plate thickness including the corner points at the plate faces. The stress intensity factor which is found to vary with Z and the thickness ratio h/a drops rapidly in a thin boundary layer near the plate faces, but without actually vanishing there. The stress intensity factor reduces exactly to that for the plane strain case when h/a ♀ ∞. All the three components of the displacement field are finite at the crack front.
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