Relaxing mixed integer optimal control problems using a time transformation

Relaxing mixed integer optimal control problems using a time transformation Our work is aimed to investigate the deformation behavior of Ag‐17vol.%SnO2 metal matrix composites under a hot extrusion process which causes extraordinarily large plastic deformations and recrystallization. The micro‐macro integrated axisymmetric finite element simulation is preferred for the first study, since it costs less calculation effort compared to 3D calculations, presents the mechanical variables in all 3D dimensions and the measured microstructure can be directly applied as the cross section. Due to that the volume (area) fraction of the particle phase in the selected 2D real microstructures often deviate from the real one, we show a numerical method to modify the EBSD‐images in order to match the 3D composition. This modification should be useful for FE simulations with a geometry based on a real microstructure. Considering that the tomograms are actually 2D images with a given distance in the 3rd dimension, such a modification with a further extension in the algorithm can also be applied for 3D microstructures based on tomograms to match the real composition. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Relaxing mixed integer optimal control problems using a time transformation

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710200
Publisher site
See Article on Publisher Site

Abstract

Our work is aimed to investigate the deformation behavior of Ag‐17vol.%SnO2 metal matrix composites under a hot extrusion process which causes extraordinarily large plastic deformations and recrystallization. The micro‐macro integrated axisymmetric finite element simulation is preferred for the first study, since it costs less calculation effort compared to 3D calculations, presents the mechanical variables in all 3D dimensions and the measured microstructure can be directly applied as the cross section. Due to that the volume (area) fraction of the particle phase in the selected 2D real microstructures often deviate from the real one, we show a numerical method to modify the EBSD‐images in order to match the 3D composition. This modification should be useful for FE simulations with a geometry based on a real microstructure. Considering that the tomograms are actually 2D images with a given distance in the 3rd dimension, such a modification with a further extension in the algorithm can also be applied for 3D microstructures based on tomograms to match the real composition. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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