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P.G. Gruber, Y. Vetyukov, M. Krommer:
"Plastic Deformation of Axially Moving Continuum in Mixed Eulerian-Lagrangian Formulation";
Talk: 3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics, Gdansk, Poland; 2015-09; in: "Proceedings of the PCM-CMM-2015 - 3rd Polish Congress of Mechanics & 21st Computer Methods in Mechanics", M. Kleiber et al. (ed.); (2015), 57 - 58.

We present a new approach to model the motion of a metal sheet during a rolling mill process. In particular, we focus on the planar motion of the sheet as seen from the bird´s eye view in the area between two consecutive roll stands. The outflow of the sheet from the preceding roll stand, as well as the infeed of the sheet into the subsequent roll stand are subject to given entry and exit velocity profiles, which are inhomogeneous and varying in time. The method takes advantage of a mixed Eulerian-Lagrangian formulation, meaning that the governing equations are based on spatial coordinates and material points at the same time. The resulting Finite Element mesh is spatially fixed with respect to the direction of the rolling process, whereas material is transported across the geometry of the mesh. The overall deformation is described by a multiplicative scheme, allowing for an exact geometrical representation and the study of specifically non-linear effects. Particular emphasis is placed on modeling plastic material behavior, and the transport of the inelastic strain field required thereby.

material generation, spatial description, finite element method, geometric nonlinearity, elastoplasticity, axially moving structures

https://publik.tuwien.ac.at/files/publik_246972.pdf