In this paper, we compare different numerical implementation algorithms for the rate type constitutive equation and present an integration scheme based on the physical meaning of the stress. Numerical implementation of ...

The traditional Lagrangian and Eulerian formulations in finite elements posses some inherent difficulties when used in simulation of metal-forming processes or general finite strain problems. A more general method of ...

Arbitrary Lagrangian–Eulerian finite element method is being increasingly used for simulation of metal-forming operations, due to its capability to combine the features of both Lagrangian and Eulerian approaches in a single ...

In this paper an incremental approach is used to derive an arbitrarily-Lagrangian-Eulerian (ALE) finite element formulation including a complete expression of the external virtual work. The characteristics of this formulation ...

This paper investigates the applicability and accuracy of existing formulation methods in general purpose finite element programs to the finite strain deformation problems. The basic shortcomings in using such programs in ...