0372405 20240103200402.620120207235959.9 000300538900005 10.4171/ZAA/1449 17 s. cav_un_epca*02580170232-2064311 (2012)75-91 Bounded sequences of symmetrised gradients bounded deformation cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0243187 Zimmer J. GB http://library.utia.cas.cz/separaty/2012/MTR/kruzik-on an extension of the space of bounded deformations.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 CEZ:AV0Z10750506 As for functions of bounded variations (BV ), the space of functions of bounded deformations (BD) can be equipped with different topologies. We propose an extension of the traditional space of BD functions equipped with the weak-topology. It is shown that in this fine extension, both compactness and weak-continuity of the trace hold under weak assumptions. This is relevant for applications, where the specimen is typically exposed to forces on the boundary. We give an application to a functional with a linearly growing energy density. 2012 BA 2 http://hdl.handle.net/11104/0205732 MATHEMATICS|MATHEMATICSAPPLIED 0.594 0.077 9.2 0.00137 0.565 363 26 20 1.043 21 0.64 Q1 43.051 46.918 Q3 Q2 2012 000300538900005 WOS cav_un_epca*0258017 Zeitschrift für Analysis und Ihre Anwendungen 0232-2064 1661-4534 Roč. 31 č. 1 2012 75 91