A model of shape memory alloys taking into account plasticity

0358966 - ÚTIA 2012 RIV GB eng J - Článek v odborném periodiku
Kružík, Martin - Zimmer, J.
A model of shape memory alloys taking into account plasticity.
IMA Journal of Applied Mathematics. Roč. 76, č. 1 (2011), s. 193-216. ISSN 0272-4960. E-ISSN 1464-3634
Grant CEP: GA AV ČR(CZ) IAA100750802
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: elasto-plasticity * energetic solution * plastic strain gradients
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.776, rok: 2011

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.
Trvalý link: http://hdl.handle.net/11104/0196858