• Media type: E-Book; Report; Text
  • Title: Global spatial regularity for time dependent elasto-plasticity and related problems
  • Contributor: Knees, Dorothee [Author]
  • imprint: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2009
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/2441
  • ISSN: 0946-8633; 0946-8633
  • Keywords: elasto-plasticity ; global regularity ; reflection argument ; visco-plasticity
  • Origination:
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  • Description: We study the global spatial regularity of solutions of generalized elasto-plastic models with linear hardening on smooth domains. Under natural smoothness assumptions on the data and the boundary we obtain that the displacements belong to L^8((0,T);H^(3/2-d)(O)) whereas the internal variables belong to L^8((0,T);H^(1/2-d)(O)). The key step in the proof is a reflection argument which gives the regularity result in directions normal to the boundary on the basis of tangential regularity results
  • Access State: Open Access