Hysteresis and phase transitions for one-dimensional and three-dimensional models in shape memory alloys

DOI10.1063/1.3430573zbMath1311.74095OpenAlexW1984984332MaRDI QIDQ5251266

Mauro Fabrizio, Diego Grandi, Valeria Berti

Publication date: 19 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3430573

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Micromechanics of solids (74M25) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear constitutive equations for materials with memory (74D05) Micromechanical theories (74A60) Problems involving hysteresis in solids (74N30) Ginzburg-Landau equations (35Q56)

Related Items (6)

Magnetic shape-memory alloys: thermomechanical modelling and analysis ⋮ First-order phase transitions and hysteresis ⋮ Phase-field models for transition phenomena in materials with hysteresis ⋮ The Souza-Auricchio model for shape-memory alloys ⋮ Existence of solutions for a mathematical model related to solid-solid phase transitions in shape memory alloys ⋮ Hysteresis phenomena in shape memory alloys by non-isothermal Ginzburg-Landau models

Cites Work

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• Ginzburg-Landau equations and first and second order phase transitions
• Phase transitions in shape memory alloys: a non-isothermal Ginzburg-Landau model
• Continuum theory of thermally induced phase transitions based on an order parameter
• Thermodynamic aspects of shape memory alloys
• Three-dimensional constitutive model for shape memory alloys based on microplane model
• A non isothermal Ginzburg-Landau model for phase transitions in shape memory alloys
• A continuum theory for first‐order phase transitions based on the balance of structure order

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