In the framework of the energetic approach to rate-independent evolutions, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variational limit of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal., 2004).
Giacomini, A., Musesti, A., QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE, <<MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES>>, 2013; 23 (07): 1275-1308. [doi:10.1142/S0218202513500097] [http://hdl.handle.net/10807/43269]
QUASI-STATIC EVOLUTIONS IN LINEAR PERFECT PLASTICITY AS A VARIATIONAL LIMIT OF FINITE PLASTICITY: A ONE-DIMENSIONAL CASE
Giacomini, Alessandro;Musesti, Alessandro
2013
Abstract
In the framework of the energetic approach to rate-independent evolutions, we show that one-dimensional linear perfect plasticity can be obtained by linearization as a variational limit of a finite plasticity model with hardening proposed by A. Mielke (SIAM J. Math. Anal., 2004).
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