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Modified Model for Proportional Loading and Unloading of Hypoplastic Materials

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Extended Abstracts Spring 2018

Part of the book series: Trends in Mathematics ((RPCRMB,volume 11))

Abstract

Classification of inner processes during loading and unloading tests in models of hypoplasticity developed by D. Kolymbas for the constitutive behavior of granular materials is the main aim of this work. We focus on a modified model proposed by Bauer. By introducing a dimensionless time parameter s, we transform the constitutive equation into a rate-independent form, and study the stress paths in different proportional loading regimes.

This work was supported by the Project No.  7AMB16AT035 within the MSMT Mobility Programme (Austria), by the Project SGS18/006/OHK1/1T/11 of the Czech Technical University, and by the Project of Excelence CZ.02.1.01/0.0/0.0/16_019/0000778 of the Ministry of Education, Youth and Sports of the Czech Republic.

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Authors and Affiliations

  1. Institute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4 / II, 8010, Graz, Austria

    Erich Bauer & Nepomuk Krenn

  2. Institute for Mathematics and Scientific Computing, University of Graz, Heinrichstrasse 36, 8010, Graz, Austria

    Victor A. Kovtunenko & Anna Zubkova

  3. Faculty of Civil Engineering, Czech Technical University, Thákurova 7, 16629, Praha 6, Czech Republic

    Pavel Krejčí & Lenka Siváková

Authors
  1. Erich Bauer
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  2. Victor A. Kovtunenko
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  3. Pavel Krejčí
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  4. Nepomuk Krenn
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  5. Lenka Siváková
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  6. Anna Zubkova
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Corresponding author

Correspondence to Erich Bauer .

Editor information

Editors and Affiliations

  1. Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Andrei Korobeinikov

  2. Facultat de Ciències, Universitat Autònoma de Barcelona, Barcelona, Spain

    Magdalena Caubergh

  3. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Tomás Lázaro

  4. Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Josep Sardanyés

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Bauer, E., Kovtunenko, V.A., Krejčí, P., Krenn, N., Siváková, L., Zubkova, A. (2019). Modified Model for Proportional Loading and Unloading of Hypoplastic Materials. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_30

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