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Artificial foam structures are used in all kinds of applications, for example, in filters, where non‐metallic inclusions are filtered out of the molten metal. The flow‐through of the fluid leads to a mechanical loading, which is influenced by the flow velocity, the viscosity of the fluid, the foam morphology, and the shape of the filter. Analytical and numerical approaches are being used to study...
The concurrent FE2‐method is a very powerful and flexible computational tool for multi‐scale problems. However the computational effort is very high. The conventional, staggered (“nested Newton”) solution scheme solves the microscopic problem iteratively within each macroscopic Newton‐Raphson (NR) iteration, although the macroscopic deformation gradients as boundary conditions at the micro scale are...
The present contribution presents a hybrid approach for the multi‐scale modeling where the yield surface and evolution equations are represented by neural networks, for which micro‐scale simulations are used as training data. The approach and its implementation into a commercial finite element code are demonstrated for a ductile foam material. The results are verified by comparison with an FE2 simulation.
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