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• W1499698840 abstract "Abstract Inverse form finding aims to determine the optimum blank design of a workpiece whereby the desired end configuration that is obtaining after a forming process, the boundary conditions and the applied loads are known. Inputting the optimal initial configuration a subsequent computation with the Finite Element Method (FEM) then has to result in exactly the nodal coordinates of the desired deformed workpiece. Germain et al. [1] recently presented a new form finding strategy for isotropic elasto‐plasticity, see also Landkammer et al. [2] for orthotropic plasticity. The corresponding algorithm uses the inverse mechanical formulation (also denoted as inverse finite element method) in addition to the common direct formulation in a recursive way. Switching between the direct and the inverse mechanical formulation, while fixing the internal plastic variables in the inverse step, uniquely detects the undeformed configuration iteratively. This contribution demonstrates within an example that the developed recursive algorithm even works with combinations of orthotropic elastic and orthotropic plastic material parameters without affecting the nearly linear convergence rate of the form finding algorithm. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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• W1499698840 date "2014-12-01" @default.
• W1499698840 modified "2023-10-16" @default.
• W1499698840 title "Optimum blank design by using the FEM based on inverse motion in orthotropic elasto-plasticity" @default.
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• W1499698840 doi "https://doi.org/10.1002/pamm.201410164" @default.
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