Rate-independent processes with linear growth energies and time-dependent boundary conditions

M Kruzik, Johannes Zimmer

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1 Citation (Scopus)
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Abstract

A rate-independent evolution problem is considered for which the stored energy density depends on the gradient of the displacement. The stored energy density does not have to be quasiconvex and is assumed to exhibit linear growth at infinity; no further assumptions are made on the behaviour at infinity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions.
Original languageEnglish
Pages (from-to)591-604
Number of pages14
JournalDiscrete and Continuous Dynamical Systems Series S
Volume5
Issue number3
DOIs
Publication statusPublished - Jun 2012

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