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By E. Oñate, D.R.J. Owen, D. Peric, B. Suárez
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Extra resources for COMPUTATIONAL PLASTICITY XI. FUNDAMENTAL AND APPLICATIONS
On the other hand, computation at the micro scale is now possible and is developed for a more realistic description of materials. Micro modeling is potentially much more accurate but, due to heavier computer cost at the local micro level, direct coupling with macro thermal and mechanical simulations seems limited to 2D problems and simple parts, even with large clusters of computers. One way to view the middle term applications is to use micro modeling of material in post processing, to predict micro structure evolution for a limited number of locations in the work piece, neglecting coupling effects.
S is the elastic vector associated to suction. When a loading process is inelastic, the material behaviour is described by the elastoplastic mechanisms that are activated during the loading process. A multidissipative approach  has been adopted to derive the general elasto-plastic relations that can be expressed as follows: Dep s s (7) where Dep is the global elasto-plastic matrix and s is the elasto-plastic vector associated with suction. The expressions for the vectors and matrices in (6) and (7) together with the details of numerical implementation are presented in .
The industrial wire drawing process has been simulated following Bobadilla et al . The mechanical analysis of the drawing process is performed by a 2D axi symmetric simulation. Dies are assumed non deformable and the drawing speed is constant. -L. -O. Bouchard, L. Fourment, P. Lasne, and E. Roux. 5mm and the total nodes number is about 10,000. The wire is long enough to reach the mechanical steady state. Figure 7 : Wire drawing mesh - Die geometry and corresponding design parameters The Latham and Cockcroft (L&C) damage criterion is used as one of the objective function: Dmax = Max Ω ∫ εf max( σ I , 0 ) σ eq 0 dε p (16) Alternatively, the wire drawing force F will be taken as an objective function.