Constitutive model for shape memory alloys featuring a novel, microscopically motivated dissipation distance

0439989 - ÚT 2016 DE eng A - Abstrakt
Frost, Miroslav - Sedlák, Petr - Benešová, B.
Constitutive model for shape memory alloys featuring a novel, microscopically motivated dissipation distance.
14th GAMM-Seminar on Microstructures 2015. Regensburg: Department of Mathematics, University of Regensburg, 2015. s. 9-9.
[GAMM-Seminar on Microstructures /14./. 16.01.2015-17.01.2015, Regensburg]
Grant CEP: GA AV ČR(CZ) DAAD/14/11; GA ČR(CZ) GP14-28306P; GA ČR GA14-15264S
Institucionální podpora: RVO:61388998
Klíčová slova: dissipation distance * shape memory alloys * microstructure
Kód oboru RIV: BM - Fyzika pevných látek a magnetismus
http://www.mathematik.uni-regensburg.de/Dolzmann/GAMM15/GAMMSeminar2015_Abstracts.pdf

Inspired by experimental results on evolution of SMA microstructure, we formulate a set of modelling assumptions leading to a novel form of dissipation. It includes contributions from phase transformation as well as reorientation of martensite. The resulting formula is rate independent, couples internal variables and it is asymmetric with respect to forward/reverse transformation. The dissipation distance is complemented by a standard form of the free energy potential to construct a macroscopic constitutive model for thermomechanical loading of SMA polycrystalline alloys. We also present mathematical analysis as well as numerical implementation of the model.
Trvalý link: http://hdl.handle.net/11104/0247444