Adaptive ALE finite elements with particular reference to external work rate on frictional interface

Abstract

Simulation methods for material forming processes based on arbitrary Lagrangian-Eulerian (ALE) finite elements and adaptive mesh deployment techniques are developed. Special emphasis is on the ALE formulation with respect to the external virtual work rate on the friction interface. An extension of the solution algorithm from the explicit scheme to Newton iteration is also given. Successful strategies for the use of ALE finite element models in nonlinear problems are explored. The implementation of ALE finite element modeling to rolling material forming processes with friction and the fusion of ALE methods with adaptive finite elements is explored. Applications to metal rolling problems are then given.