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A Multiscale Framework for Thermoplasticity

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Multiscale Modeling of Heterogeneous Structures

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 86))

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Abstract

The chapter describes a homogenization procedure for thermoplasticity problems. The proposed model is suitable for the finite strain regime and supports a very wide class of plasticity models. The methodology starts from the thermodynamically consistent thermoelastic framework already described in the literature. The latter framework is now extended to account for inelastic deformations. The problem is separated by means of the isothermal split into a mechanical and a thermal step, both at the macroscale and the microscale. As demonstrated in an example, the method does provide a way to successfully homogenize microscale variables as well as tangent operators. Finally, limitations of the approach are pointed out.

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Acknowledgements

This work has been partially supported by Croatian Science Foundation under the project no. 6876—Assessment of structural behaviour in limit state operating conditions. This support is gratefully acknowledged.

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Authors and Affiliations

  1. Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000, Rijeka, Croatia

    Marko Čanađija & Neven Munjas

Authors
  1. Marko Čanađija
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  2. Neven Munjas
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Correspondence to Marko Čanađija .

Editor information

Editors and Affiliations

  1. University of Zagreb, Zagreb, Croatia

    Jurica Sorić

  2. Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany

    Peter Wriggers

  3. LMT Cachan, Cachan, France

    Olivier Allix

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Čanađija, M., Munjas, N. (2018). A Multiscale Framework for Thermoplasticity. In: Sorić, J., Wriggers, P., Allix, O. (eds) Multiscale Modeling of Heterogeneous Structures. Lecture Notes in Applied and Computational Mechanics, vol 86. Springer, Cham. https://doi.org/10.1007/978-3-319-65463-8_16

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  • DOI: https://doi.org/10.1007/978-3-319-65463-8_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65462-1

  • Online ISBN: 978-3-319-65463-8

  • eBook Packages: EngineeringEngineering (R0)

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