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A model of shape memory alloys taking into account plasticity
- 1.0358966 - ÚTIA 2012 RIV GB eng J - Journal Article
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
R&D Projects: GA AV ČR(CZ) IAA100750802
Institutional research plan: CEZ:AV0Z10750506
Keywords : elasto-plasticity * energetic solution * plastic strain gradients
Subject RIV: BA - General Mathematics
Impact factor: 0.776, year: 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.
Permanent Link: http://hdl.handle.net/11104/0196858
Number of the records: 1