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Quasistatic Evolution in Perfect Plasticity as Limit of Dynamic Processes

Journal of Dynamics and Differential Equations, ISSN: 1572-9222, Vol: 26, Issue: 4, Page: 915-954
2014
  • 26
    Citations
  • 0
    Usage
  • 5
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    26
    • Citation Indexes
      26
  • Captures
    5

Article Description

We introduce a model of dynamic visco-elasto-plastic evolution in the linearly elastic regime and prove an existence and uniqueness result. Then we study the limit of (a rescaled version of) the solutions when the data vary slowly. We prove that they converge, up to a subsequence, to a quasistatic evolution in perfect plasticity.

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