Application of the Slab Analogy to the Estimation of the Distribution of Residual Stress due to Welding

Abstract

Application of the slab analogy, the analogy between the deflections of slabs and Airy stress function in a two-dimensional state of stress, to the estimation of the residual stress induced by welding is discussed.
According to the slab analogy, the stress distribution due to the uniform initial strain is to be obtained from the deflections of analogous slab models. Therefore, if we assume that the region of weld metal can be replaced by that of uniform initial strain, the estimation of the distribution of residual stress induced by welding will be made from the deflections of analogous slab models.
Based on this principle, the distribution of residual stress due to welding was found experimentally in several cases. As the experimental technique for the determination of deflections, actually slopes, of the slabs, the reflection-type Moire method was employed.
It is shown by this experiment that this slab analogy-Moire method will be very effective for the estimation of the residual stress distribution due to welding, in view of its good accuracy and experimental convenience.