Mathematical study of an evolution problem describing the thermo- mechanical process in shape memory alloys

zbMath0745.73002MaRDI QIDQ1175695

Pierluigi Colli

Publication date: 25 June 1992

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/244136

zbMATH Keywords

regularitycontraction mapping principleaustenite-martensite phase transitionmicroscopic scale

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Thermodynamics in solid mechanics (74A15) Large-strain, rate-dependent theories of plasticity (74C20) Stefan problems, phase changes, etc. (80A22) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Optimization of other properties in solid mechanics (74P10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (4)

Global existence for a three-dimensional model for the thermo-mechanical evolution of shape memory alloys ⋮ Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model ⋮ Global existence for a second-order thermo-mechanical model of shape memory alloys ⋮ Positivity of temperature in the general Frémond model for shape memory alloys

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