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Local and Global Regularity in Time Dependent Viscoplasticity

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IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media

Part of the book series: IUTAM BookSeries ((IUTAMBOOK,volume 11))

Abstract

In this note we announce the results obtained in [4] on local and global regularity for quasistatic initial-boundary value problems from viscoplasticity. The problems considered belong to a general class with monotone constitutive equations modelling inelastic materials showing kinematic hardening. A standard example is the Melan-Prager model. In [4] it is proved that the strain/stress/internal variable fields have H 1+1/3−δ/H 1/3−δ/H 1/3−δ regularity up to the boundary. We also show that in the case of generalized standard materials the same regularity can be obtained under weaker assumptions on the given data.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Darmstadt University of Technology, Schlossgartenstr. 7, 64289, Darmstadt, Germany

    Hans-Dieter Alber & Sergiy Nesenenko

Authors
  1. Hans-Dieter Alber
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  2. Sergiy Nesenenko
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Editor information

Editors and Affiliations

  1. Centre for Research in Computational and Applied Mechanics, University of Cape Town, 7701, Rondebosch, South Africa

    B. Daya Reddy

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Alber, HD., Nesenenko, S. (2008). Local and Global Regularity in Time Dependent Viscoplasticity. In: Reddy, B.D. (eds) IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. IUTAM BookSeries, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9090-5_33

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  • DOI: https://doi.org/10.1007/978-1-4020-9090-5_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9089-9

  • Online ISBN: 978-1-4020-9090-5

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