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

Reference:

Kruzik, M. and Zimmer, J., 2012. Rate-independent processes with linear growth energies and time-dependent boundary conditions. Discrete and Continuous Dynamical Systems Series S, 5 (3), pp. 591-604.

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Official URL:

http://dx.doi.org/10.3934/dcdss.2012.5.591

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.

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