Model-based control of dynamic frictional contact problems using the example of hot rolling

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Werner S, Stingl M, Leugering G
Zeitschrift: Computer Methods in Applied Mechanics and Engineering
Verlag: ELSEVIER SCIENCE SA
Jahr der Veröffentlichung: 2017
Band: 319
Seitenbereich: 442-471
ISSN: 0045-7825


Abstract


We consider hot forming processes, in which a metal solid body is deformed by several rolls in order to obtain a desired final shape. To minimize cutting scrap and to ensure that this shape satisfies the required tolerances as precisely as possible, we formulate an optimal control problem where we use the trajectories of the rolls as control functions. The deformation of the solid body is described through the basic equations of nonlinear continuum mechanics, which are here coupled with an elasto-viscoplastic material model based on a multiplicative split of the deformation gradient. We assume that the deformations of the rolls can be neglected, thus we add unilateral frictional contact boundary conditions, resulting in an evolutionary quasi-variational inclusion. The associated control-to-observation map is non-differentiable due to changes of state between elastic and plastic material behavior, contact and separation and stick and slip motion, yet we still want to apply gradient-based methods to solve the optimal control problem and therefore have to make sure that derivatives of cost functional and constraints exist. To resolve this issue, we first regularize all non-differentiabilities and subsequently apply the direct differentiation method to obtain sensitivity information. Finally, we formulate a suitable algorithm and discuss numerical results for a real-world example to illustrate its capability. (C) 2017 Elsevier B.V. All rights reserved.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Leugering, Günter Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)
Werner, Stefan
Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)


Zusätzliche Organisationseinheit(en)
Zentralinstitut für Scientific Computing (ZISC)
Exzellenz-Cluster Engineering of Advanced Materials


Forschungsbereiche

A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


Zitierweisen

APA:
Werner, S., Stingl, M., & Leugering, G. (2017). Model-based control of dynamic frictional contact problems using the example of hot rolling. Computer Methods in Applied Mechanics and Engineering, 319, 442-471. https://dx.doi.org/10.1016/j.cma.2017.03.006

MLA:
Werner, Stefan, Michael Stingl, and Günter Leugering. "Model-based control of dynamic frictional contact problems using the example of hot rolling." Computer Methods in Applied Mechanics and Engineering 319 (2017): 442-471.

BibTeX: 

Zuletzt aktualisiert 2018-17-07 um 09:23