Volume 21, Issue 4 (July 1993)
Slice Synthesis Technique for an Embedded Crack in Residual Stress Fields
Stress intensity factors are obtained for an embedded elliptical crack in a plate subjected to remote tensile and welding induced residual stresses. The three-dimensional crack configuration is reduced to a system of two-dimensional configurations in the crack depth and in crack length directions by using the slice synthesis technique. The algebraic equations on crack face displacements are formulated in terms of unknown coupled tractions acting on the slices. These equations are solved using a multiple linear regression scheme, and the unknown tractions and stress intensity factors are calculated. The accuracy of stress intensity factors is compared with known results from the literature for an embedded elliptical crack in tension and for an embedded penny-shaped crack subjected to welding residual stress. The stress intensity factors are presented for various elliptically shaped cracks embedded in an infinite plate and subjected to three different types of welding residual stresses.