Journal of Dynamics and Differential Equations

, Volume 26, Issue 4, pp 915–954 | Cite as

Quasistatic Evolution in Perfect Plasticity as Limit of Dynamic Processes

Article

Abstract

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.

Keywords

Visco-elasto-plasticity Perfect plasticity Dynamic evolution Quasistatic evolution Discrete time approximation Implicit euler scheme Incremental minimum problems 

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.SISSA, Mathematics AreaTriesteItaly

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