, Volume 56, Issue 4, pp 241–253 | Cite as

Infinitesimal and large strain in rolling contact problems

  • J. Rońda
  • R. Bogacz
  • M. Brzozowski


The rolling processing of a strip is formulated as a large strain nonlinear problem for elasticplastic body. The formulation of the rolling problem leads to a minimization of a variational nonlinear functional. To solve the problem the penalty method and the finite element method are applied. A new approach to a description of a nodal point motion in the contact region is used. The concept is more convenient for applied calculation method. Results obtained for the large and small strain formulations are compared.


Neural Network Finite Element Method Nonlinear Problem Large Strain Contact Problem 
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Kleine und große Formänderungen eines Streifens im Walzenkontaktproblem


Das Walzverfahren eines Streifens wird als ein nichtlineares Problem für große Formänderungen von elastoplastischen Körpern formuliert. Die Formulierung des Walzproblems führt zur Minimierung eines nichtlinearen Variationsfunktionals. Das Problem wird mit Hilfe von Straffunktionen und der Finite-Element-Methode gelöst. Ein neuer Weg zur Beschreibung der Bewegung der Knotenpunkte in der Kontaktzone wird benutzt. Dieser Weg ist für die Anwendung numerischer Methoden günstig. Ein Vergleich der Ergebnisse für die Formulierungen mit kleinen bzw. mit großen Formänderungen wird diskutiert.


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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • J. Rońda
    • 2
  • R. Bogacz
    • 1
  • M. Brzozowski
    • 3
  1. 1.Institute of Fundamental Technological ResearchPolish Academy of SciencesWarsawPoland
  2. 2.Instytut TransportuWarsaw Technical UniversityWarsawPoland
  3. 3.Białystok Technical UniversityBiałystokPoland

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