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Recent developments in the incremental flow formulation for the numerical simulation of metal forming processes. (English) Zbl 0918.73027

Summary: The formulation is based on the approximation of the flow type of constitutive equations by means of an algorithmic equation based on geometry changes over a timestep. The resulting equilibrium equations are functions of nodal positions. Hence geometrical constraints such as contact and incompressibility can be enforced in an exact manner. Two types of incremental equations leading to first and second-order time approximations are presented. The more accurate case is based on the incremental logarithmic stretches. Several examples are used to demonstrate the validity of the method.

MSC:

74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
74S05 Finite element methods applied to problems in solid mechanics
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