Rate-Independent Processes with Linear Growth Energies and Time-Dependent Boundary Conditions

0365458 - ÚTIA 2012 RIV US eng J - Journal Article
Kružík, Martin - Zimmer, J.
Rate-Independent Processes with Linear Growth Energies and Time-Dependent Boundary Conditions.
Discrete and Continuous Dynamical systems - Series S. Roč. 5, č. 3 (2012), s. 591-604. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA AV ČR IAA100750802
Grant - others:GA ČR(CZ) GAP201/10/0357
Institutional research plan: CEZ:AV0Z10750506
Keywords : concentrations * oscillations * time-dependent boundary conditions * rate-independent evolution
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2011/MTR/kruzik-rate-independent processes with linear growth energies and time-dependent boundary conditions.pdf

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 innity; no further assumptions are made on the behaviour at innity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions.
Permanent Link: http://hdl.handle.net/11104/0200695