A unified numerical treatment for handling various forms of constitutive relations for hyperelastic and rubber-like materials is presented. A general form for the stress and the constitutive tensors is derived. The form ...

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 ...

In this paper we present an overview of the recent developments in the area of numerical and finite element modeling of nonlinear constitutive relations. The paper discusses elastic, hyperelastic, elastoplastic and ...

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 ...