Stress regularity for a new quasistatic evolution model of perfectly plastic plates

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• 作者：Elisa Davoli ; Maria Giovanna Mora
• 关键词：74C05 ; 74G65 ; 74K20 ; 49J45
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：54
• 期：3
• 页码：2581-2614
• 全文大小：684 KB
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• 作者单位：Elisa Davoli (1)
  Maria Giovanna Mora (2)
  
  1. Department of Mathematics, Carnegie Mellon University, Forbes Avenue, Pittsburgh, PA, 15213, USA
  2. Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100, Pavia, Italy
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mathematical and Computational Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0835

文摘

We study some properties of solutions to a quasistatic evolution problem for perfectly plastic plates, that has been recently derived from three-dimensional Prandtl–Reuss plasticity. We prove that the stress tensor has locally square-integrable first derivatives with respect to the space variables. We also exhibit an example showing that the model under consideration has in general a genuinely three-dimensional nature and cannot be reduced to a two-dimensional setting. Mathematics Subject Classification 74C05 74G65 74K20 49J45