Abstract
In the framework of finite deformations a model has been constructed to describe the process of controlling the austenite-to-martensite phase transition in ferromagnetic polycrystalline materials with shape memory properties (Heusler alloys) under the action of temperature, force and magnetic fields. The control of the phase transition is realized with the help of the magnetic field, which shifts the specific transformation temperatures. The kinematic and constitutive equations, satisfying the principles of thermodynamics and objectivity, have been developed both, for the martensitic and austenitic phases and also for the mixed austenitic-martensitic state, which takes place in the process of smeared phase transition of the first order. The available experimental data have been used to verify the proposed model.
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