Phase-field models for transition phenomena in materials with hysteresis

DOI10.3934/dcdss.2015.8.693zbMath1302.74130OpenAlexW1770423277MaRDI QIDQ479125

Claudio Giorgi

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.693

zbMATH Keywords

Ginzburg-Landau theoryhysteresis loopsaustenite-martensite transitionfree energy potentialsferromagnetic transitionfirst and second order phase transitions

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Stefan problems, phase changes, etc. (80A22) Thermal effects in solid mechanics (74F05) Thermodynamics of continua (80A17) Problems involving hysteresis in solids (74N30) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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