Eigenspannungsverteilung in zylindrischen Körpern. Auswirkung der angewendeten Berechnungsverfahren

Determining the Distribution of Residual Stresses in Cylindrical Solid Bodies by Employing Different Computation Methods There are two methods for the computation of residual stresses in cylindrical bodies. The methods in question are by G. Sachs and E. Krägeloh. The residual stresses are computed out off the determined stresses. The basis of the two methods are two different hypothesises with different assumed tension gradients and elongation gradients across the sample cross-section. The methods differentiated for homogeneous and inhomogeneous materials meet with their differential equation the balance conditions. The different methods employed show considerable differences in regard to circumferential tensions. This differences result particularly at the cylinder wall surface (outside). The tension differences grow with increasing cylinder wall thickness. The longitudinal tensions and radial tensions computed by the methods of G. Sachs and E. Krägeloh are nearly identical. It is much more important to know the tendency of the residual stress distribution in a given solid body than to know the absolute value of the residual tension conditions. It is to recommend, to employ the method developed by G. Sachs, because the computing expenditure is much less than the one necessary for the method of E. Krägeloh.