0358966 20240103195117.720110510235959.9 000286674200011 10.1093/imamat/hxq058 24 s. cav_un_epca*02567310272-4960761 (2011)193-216 elasto-plasticity energetic solution plastic strain gradients 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 IAA100750802 GA AV ČR CZ cav_un_auth*0241214 CEZ:AV0Z10750506 We propose a phenomenological model for the evolutionary behaviour of shape memory alloys, where the possibility of plastic deformation is taken in to account. Two dissipative mechanisms are considered, namely the dissipation associated with solid–solid (martensitic) phase transformations and plastic dissipation. The plastic contribution may lead to an irreversibility of the evolution. The existence of a so-called energetic solution is established for a suitable relaxation of the problem in the space of Young measures. 2012 BA http://hdl.handle.net/11104/0196858 MATHEMATICSAPPLIED 0.774 0.176 >10.0 0.00215 0.472 659 51 0.525 Q3 25.669 55.306 Q3 Q3 2011 000286674200011 WOS cav_un_epca*0256731 IMA Journal of Applied Mathematics 0272-4960 1464-3634 Roč. 76 č. 1 2011 193 216