On diffused-interface models of shape memory alloys

• Autorzy: Pawłow I. , Zajączkowski W. M.
• Języki publikacji: EN

Abstrakty

EN

The paper surveys mathematical models of thermo-mechanical evolution of shape memory alloys and related mathematical results. The survey is confined to so-called diffused-interface or phase-field models based on Landau-Ginzburg free energy as a ther-modynamic potential. It includes the well-known models due to Falk, Fremond and Fried-Gurtin. The focus is on a three-dimensional (3-D) generalization of Falk's model based on the linearized strain tensor, absolute temperature and strain tensor gradient. For such model the thermodynamical basis and the recent mathematical results on its well-posedness are presented.

Słowa kluczowe

EN

shape memory alloys; diffused-interface models; Landau-Ginsburg free energy; existence and uniqueness of solutions

PL

stop z pamięcią kształtu; energia swobodna Landaua-Ginzburga

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2003
• Tom: Vol. 32, no 3
• Strony: 629--658
• Opis fizyczny: Bibliogr. 84 poz.

Twórcy

autor

Pawłow I.

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland

autor

Zajączkowski W. M.

• current address: ICM Warsaw University, Pawinskiego 5a, 02-106 Warsaw, Poland permanent address (on leave): Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950 Warsaw, Poland Institute of Mathematics and Operations Research, Military University of Technology, S. Kaliskiego 2, 00-908 Warsaw, Poland

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