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A Micromechanical Model for Polycrystalline Shape Memory Alloys – Formulation and Numerical Validation

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IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 21))

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Abstract

The specific material properties of shape memory alloys are due to the formation of martensitic microstructures. In this contribution, we develop a strategy to model the material behavior based on energy considerations: we first present narrow bounds to the elastic energy obtained by lamination of the multi-well problem in the monocrystalline case. These considerations are then extended to polycrystals and compared to a convexification bound. Due to the acceptably low difference between convexification lower and lamination upper bound,we use the convexification bound to establish a micromechanical model which, on the basis of physically well motivated parameters such as elastic constants and transformation strains, is able to represent a variety of aspects of the material behavior such as pseudoelasticity, pseudoplasticity and martensite reorientation.

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Authors and Affiliations

  1. Werkstoffkompetenzzentrum, Division Auto, ThyssenKrupp Steel AG, Duisburg, Germany

    Rainer Heinen

  2. Lehrstuhl für Allgemeine Mechanik, Ruhr-Universität Bochum, Bochum, Germany

    Rainer Heinen & Klaus Hackl

Authors
  1. Rainer Heinen
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  2. Klaus Hackl
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Corresponding author

Correspondence to Rainer Heinen .

Editor information

Editors and Affiliations

  1. LS Allgemeine Mechanik, Universität Bochum, Bochum, Germany

    Klaus Hackl

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Heinen, R., Hackl, K. (2010). A Micromechanical Model for Polycrystalline Shape Memory Alloys – Formulation and Numerical Validation. In: Hackl, K. (eds) IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. IUTAM Bookseries, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9195-6_7

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  • DOI: https://doi.org/10.1007/978-90-481-9195-6_7

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9194-9

  • Online ISBN: 978-90-481-9195-6

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