Phase Transition and Hysteresis Analysis for Shape Memory Alloys Applications

Melnik, R.V.N.

Mathematical Modelling and Analysis, 6(2), 300--309, 2001

Abstract:

The paper focuses on the mathematical modelling analysis of coupled nonlinear phenomena with phase fields models on the example of shape memory alloys. In particular, center manifold approximations for the 1D Landau-Devonshire and 3D Falk-Konopka models are applied to modelling phase transitions in these materials. The methodology, allowing a systematic improvement of mathematical models for phase transitions and hysteresis phenomena, is explained, and typical computational results with such low dimensional models are presented. Other nonlinear problems and phenomena where the developed technique can be useful are discussed.

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