Rate-independent memory in magneto-elastic materials
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The Souza-Auricchio model for shape-memory alloys
August 2015, 8(4): 693-722. doi: 10.3934/dcdss.2015.8.693
Phase-field models for transition phenomena in materials with hysteresis
Claudio Giorgi 1,
DICATAM, Università di Brescia, Via Valotti 9, 25133 Brescia
Received March 2014 Revised July 2014 Published October 2014
Non-isothermal phase-field models of transition phenomena in materials with hysteresis are considered within the framework of the Ginzburg-Landau theory. Our attempt is to capture the relation between phase-transition and hysteresis (either mechanical or magnetic). All models are required to be compatible with thermodynamics and to fit well the shape of the major hysteresis loop. Focusing on uniform cyclic processes, numerical simulations at different temperatures are performed.
Keywords: austenite-martensite transition, free energy potentials., Ginzburg-Landau theory, First and second order phase transitions, ferromagnetic transition, hysteresis loops.
Mathematics Subject Classification: Primary: 74N30, 74C05, 74F05, 80A17, 80A22, 82C26, 82D4.
Citation: Claudio Giorgi. Phase-field models for transition phenomena in materials with hysteresis. Discrete & Continuous Dynamical Systems - S, 2015, 8 (4) : 693-722. doi: 10.3934/dcdss.2015.8.693
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Claudio Giorgi