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Well-Posedness of Dynamic Cosserat Plasticity

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Abstract

We investigate the regularizing properties of generalized continua of micropolar type for dynamic elasto-plasticity. To this end we propose an extension of classical infinitesimal elasto-plasticity to include consistently non-dissipative micropolar effects and we show that the dynamic model allows for a unique, global in-time solution of the corresponding rate-independent initial boundary value problem of pure Dirichlet-type. The methods of choice are the Yosida approximation and a passage to the limit.

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Authors and Affiliations

  1. Department of Mathematics, University of Technology Darmstadt, 64289 Darmstadt, Germany

    Patrizio Neff

  2. Faculty of Mathematics and Information Science, Warsaw University of Technology, 00661 Warsaw, Poland

    Krzysztof Chelminski

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  1. Patrizio Neff
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  2. Krzysztof Chelminski
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Correspondence to Patrizio Neff or Krzysztof Chelminski.

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Neff, P., Chelminski, K. Well-Posedness of Dynamic Cosserat Plasticity. Appl Math Optim 56, 19–35 (2007). https://doi.org/10.1007/s00245-007-0878-5

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  • DOI: https://doi.org/10.1007/s00245-007-0878-5

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