Multigrid methods for the three-dimensional simulation of nonlinear magnetomechanical systems

International Journal of Solids and Structures

Brosius

et al. 2008

The purpose of this work is the development and application of strategies to identify material model parameters for metals at high strain-rates using data obtained from high-speed electromagnetic metal forming. To this end, a staggered algorithm for the finite-element-based numerical solution of the coupled electromagnetic-mechanical boundary-value problem has been developed based on mixed Eulerian-Lagrangian multigrid methods. On this basis, the parameter determination together with a sensitivity analysis and error estimation are carried out. After verifying the validity of this approach using synthetic data sets, it is applied to the identification of material parameters using experimental results from electromagnetic tube forming.

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Section: Coupled Model For Electromagnetic Forming and Algorithmic Fomentioning

confidence: 98%

Inverse error propagation and model identification for coupled dynamic problems with application to electromagnetic metal forming

International Journal of Solids and Structures

Brosius

et al. 2008

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“…With this approach, numerical problems can be avoided and the accuracy of the numerical solution is guaranteed. Focusing on the fast solution of three-dimensional fully coupled magnetomechanical problems, Schinnerl et al [5] presented a numerical scheme for transient coupled systems based on an implicit multigrid method. Although their modelling of the mechanical system is restricted to the case of linear elasticity, realistic simulation results have been obtained for several experimental arrangements.…”

Section: Introductionmentioning

confidence: 99%

Algorithmic formulation and numerical implementation of coupled electromagnetic‐inelastic continuum models for electromagnetic metal forming

Numerical Meth Engineering

Svendsen

et al. 2006

SUMMARYThe purpose of this work is the algorithmic formulation and implementation of a recent coupled electromagnetic-inelastic continuum field model (Continuum Mech. Thermodyn. 2005; 17:1-16) for a class of engineering materials, which can be dynamically formed using strong magnetic fields. Although in general relevant, temperature effects are for the applications of interest here minimal and are neglected for simplicity. In this case, the coupling is due, on the one hand, to the Lorentz force acting as an additional body force in the material. On the other hand, the spatio-temporal development of the magnetic field is very sensitive to changes in the shape of the workpiece, resulting in additional coupling. The algorithmic formulation and numerical implementation of this coupled model is based on mixed-element discretization of the deformation and electromagnetic fields combined with an implicit, staggered numerical solution scheme on two meshes. In particular, the mechanical degrees of freedom are solved on a Lagrangian mesh and the electromagnetic ones on an Eulerian one. The issues of the convergence behaviour of the staggered algorithm and the influence of data transfer between the meshes on the solution is discussed in detail. Finally, the numerical implementation of the model is applied to the modelling and simulation of electromagnetic sheet forming.

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“…However, approaches tested so far were mainly restricted to axisymmetric geometries (Fenton and Daehn, 1998;Gourdin et al, 1989;Imbert et al, 2004;Oliveira et al, 2001;Takatsu et al, 1988) or to small deformation problems (Schinnerl et al, 2002). Yet, it is the 3D modeling capability in combination with the large inelastic deformations that is required to advance effectively in the design of industrial EMF processes.…”

Section: Introductionmentioning

confidence: 99%

Strategies for 3D simulation of electromagnetic forming processes

Journal of Materials Processing Technology

Schwarze

et al. 2008