The Analytical Solution of Residual Stress in the Axial Symmetry Object

The analytical solution can promote the extensive generation of the numerical solution as a standard solution. The paper analyzes the retaining ring residual stress of the axial symmetry object and constructs stress function satisfied with boundary conditions and biharmonic equation, then works out the corresponding analytical solution and the limit of the axial symmetry object when it infinite long, it is the famous Sachs formula. Exporting Sachs formula shows that Sachs way is an especial form of stress function way, also shows stress function way has more comprehensive applicability.