Here it will be shown the basic ideas, as well the realeasing of the code, to investigate thin magnetic films of Shape Memory Alloys. In this work, the Landau ṕhenomenology of martensitic transformations is used in order to simulate the magnetic hysteresis loops of off-stoichiometric Ni2MnGa.
Here it was used the Finite Element Method (FEM) to discretize the films into smaller parts. We assume a certain value of the variants and model the whole film as non-interacting domains. In our approach, we have the coexistence of two mirrored domains. The growth of one domain is accompanied by the decrease of the other.
A thin Film described as mirrored magnetic domains by FEM
In our approach, we used spherical coordinates to describe each element as shown in the following figure.
Here it is shown the Spherical Coordinates of the Film
The Ni2MnGa thin film is nanocrystalline, i.e., there are variants pointing toward every direction. Therefore, in order to take into account such a texture, we have got to perform strain transformations.
The theory was implemented in Python 3 and the main hysteresis loops were fitted by changing the parameters of the model (assuming close-to-bulk values).
Fitting along out-of-plane direction
- Python 3.4 or above;
- joblib;
- scipy;
- matplotlib;
- numba.
Copyright (c) 2019 Vagner Zeizer C. Paes
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