A practical procedure for mesh motion in arbitrary Lagrangian-Eulerian method

Conventional Lagrangian and Eulerian type formulation methods are applied to simulate some metalforming processes. These formulations possess certain difficulties when applied to finite strain deformation problems, especially when boundary conditions need to be updated during the course of deformation. An Arbitrary Lagrangian-Eulerian (ALE) formulation method is employed to overcome these difficulties. This paper presents an efficient mesh motion scheme for the ALE formulation method. A practical and more efficient scheme for handling supplementary constraint equations, arising from mesh motion algorithms, on the element level is presented. A procedure for handling boundary motion within the scheme and ensuring homogeneous mesh results is described. The presented scheme is employed to simulate punch forging and plane strain metal extrusion processes.