RECENT DEVELOPMENTS IN THE INCREMENTAL FLOW FORMULATION FOR THE NUMERICAL-SIMULATION OF METAL-FORMING PROCESSES

This paper describes the use of the incremental flow formulation for t he numerical analysis of forming processes. This formulation is based on the approximation of the flow type of constitutive equations by mea ns of an algorithmic equation based on geometry changes over a timeste p. The resulting equilibrium equations are functions of nodal position s. Hence geometrical constraints such as contact and incompressibility can be enforced in an exact manner. Two types of incremental equation s leading to first and second order time approximations are presented. The more accurate case is based on the incremental logarithmic stretc hes. Several examples will be used to demonstrate the validity of the method.