Abstract
The usual gird method has the serious defect that the stress solution depends on the numerical integration path of stress derivatives. In this study, a new method, independent of the numerical integration of the stress derivatives, is developed for steady state axisymmetric extrusion; that is, on every small plastic region, mean stress distribution is approximated with a second order polynomial with respect to r and z, and considering the continuity of mean stress, unknown coefficients of all of these polynomials are evaluated with the least squares method of the mean stress derivatives. Lagrange's method is applied to this procedure together with the unit division method, which is similar to that used in the finite element method and as a result, the stress solution can be uniquely determined in a short calculation time.
