Development of Finite-Element Modeling of Processing Metals Under Pressure Using Variational Principles of Mechanics Proposed by V. L. Kolmogorov

Abstract

On the basis of the variational principle of metal virtual stresses and flow rates in high plastic metal deformation with complex processes of hardening and softening, we propose an iterative procedure using finite-element simulation of processing metals under pressure, taking into account the heterogeneity of mechanical properties in the volume of the deformation zone. The proposed method of solving the boundary value problem increases the computational precision for the workpiece shape deformation, satisfying the condition of ideal plasticity for the material particles at any arbitrary point in time, as well as improving the accuracy of determining the field of the average normal stress in the deformation zone.