A three-dimensional phenomenological model for Magnetic Shape Memory Alloys

DOI10.1002/gamm.201110014zbMath1279.74026OpenAlexW2119992792MaRDI QIDQ2890598

Alessandro Reali, Anne-Laure Bessoud, Ulisse Stefanelli, Ferdinando Auricchio

Publication date: 11 June 2012

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201110014

zbMATH Keywords

existencegamma-convergenceenergetic solutionrate-independencecubic-to-tetragonal martensitic transformation

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Electromagnetic effects in solid mechanics (74F15) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

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Magnetic shape-memory alloys: thermomechanical modelling and analysis ⋮ A phenomenological model for the magneto-mechanical response of single-crystal magnetic shape memory alloys ⋮ A macroscopic model for magnetic shape-memory single crystals ⋮ Gradient structures for the thermomechanics of shape-memory materials ⋮ Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials ⋮ The Souza-Auricchio model for shape-memory alloys ⋮ Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys

Cites Work

• Three-dimensional model for solids undergoing stress-induced phase transformations
• \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
• Improvements and algorithmical considerations on a recent three-dimensional model describing stress-induced solid phase transformations
• A three‐dimensional model describing stress‐temperature induced solid phase transformations: thermomechanical coupling and hybrid composite applications