A Stochastic Model for the Interaction of Plasticity and Creep in Metals

  • E. Steck
Conference paper
Part of the IUTAM Symposium book series (IUTAM)

Summary

Describing the basic mechanisms for plastic deformations in crystalline materials by transition probabilities of a stochastic matrix over the state space of the internal barriers, results in a stochastic model which has the properties of a Markov-chain. It is possible to include in this model properties of the internal structure of the material and their changes during macroscopic deformation processes, such as hardening and recovery, or the influence of temperature on thermal activation. This description can be based on findings from metal physics and metallurgy, so that the stochastic model can be used as an intermediate model between the microscopic and the macroscopic description of the processes during plastic deformations.

Keywords

Entropy 

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References

  1. 1.
    Steck, E.: Entwicklung von Stoffgesetzen fuer die Hochtemperaturplastizitaet.Grundlagen der UmformtechniK, Internationales Symposium Stuttgart 1983, Springer Verlag 1983, S. 83–113.Google Scholar
  2. 2.
    Steck, E.: A stochastic Model for the High-Temperature Plasticity of Metals. Intern. Journ. of Plasticity, Vol. 1 (1985), S. 243–258.CrossRefMATHGoogle Scholar
  3. 3.
    Blackburn, L.D. Isochronous Stress-Strain Curves for Austenitic Steels. in: A.O. Schaefer (Ed.), The Generation of Isochronous Stress-Strain Curves. New York, 1972, S. 15.Google Scholar
  4. 4.
    Loesche, Th. Zur Entwicklung eines Werkstoffgesetzes fuer die Hochtemperaturplastizitaet ueber einen Markov-Prozess. Dr.-Ing. Thesis Braunschweig 1985Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • E. Steck
    • 1
  1. 1.Institut fuer Allgemeine Mechanik und FestigkeitslehreTechnische UniversitaetBraunschweigW.-Germany

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