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Phenomenological Constitutive Models for Metals

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Modelling Small Deformations of Polycrystals

Abstract

In this chapter the hardening rules for metals in the range of small strains are discussed. The simple hardening rules, such as isotropic, kinematic or mixed hardening models, involve one scalar and/or one tensor state variable whose evolution rule is expressed in terms of the plastic strain rate. The composite hardening rules involve more state variables and multiple loading surfaces for which evolution rules depend on a previous deformation history. Such composite rules can be formulated by using either the structural approach or the representative variable approach. Whereas the structural approach requires numerous state variables and material parameters, the representative variable approach offers a much simpler material description. The creep hardening rules for viscoplastic deformation processes are discussed at the end of the chapter.

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Author information

Authors and Affiliations

  1. Institute of Fundamental Technological Research, Warsaw, Poland

    Zenon Mróz

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  1. Zenon Mróz
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Editors and Affiliations

  1. Safety & Reliability Directorate, United Kingdom Atomic Energy Authority, Wigshaw Lane, WA3 4NE, Culcheth, Warrington, UK

    John Gittus (Director) (Director)

  2. Laboratoire de Mécanique des Solides, Polytechnique, 91128, Palaiseau Cedex, France

    Joseph Zarka (Directeur de Recherches au CNRS, Conseiller Scientifique du CETIM) (Directeur de Recherches au CNRS, Conseiller Scientifique du CETIM)

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© 1986 Elsevier Applied Science Publishers Ltd

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Mróz, Z. (1986). Phenomenological Constitutive Models for Metals. In: Gittus, J., Zarka, J. (eds) Modelling Small Deformations of Polycrystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4181-6_9

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  • DOI: https://doi.org/10.1007/978-94-009-4181-6_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8357-7

  • Online ISBN: 978-94-009-4181-6

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