Magneto-thermo-mechanical modeling of a Magnetic Shape Memory Alloy Ni-Mn-Ga single crystal

Abstract

In the frame of Thermodynamics of irreversible process, a model describing the thermomagneto-mechanical behavior of a single crystal of Ni-Mn-Ga is built. The choice of internal variables is linked to the physics of the problem (fraction of martensite variants, fraction of Weiss domains, magnetization angle). The simulations permit to describe the paths in the space (stress, temperature, magnetic field) in agreement with experimental tests. A special attention will be devoted to the control laws required to use these functional materials as sensors or actuators.

The Souza-Auricchio model for shape-memory alloys

“…As for thermodynamically consistent models, one has to mention the contributions by [98,99,95]. Internal-variable models have been introduced by [60,55] and [67,68], see also [69,83]. The later has been extended in order to encompass some more realistic magnetic response by [135].…”

From Canonical Hamiltonian to Port-Hamiltonian Modeling: Application to Magnetic Shape Memory Alloys Actuators

“…The energetic behavior of MSMA will not be described in this paper and can be found in [20,27], its state is determined by 4 variables: the magnetic flux linkage φ msma into MSMA, two thermodynamic internal variables z and p z and its mechanical strain ε. The load is considered as a rigid body and contains only kinetic energy, function of the momentum p load .…”

A macroscopic constitutive model of temperature-induced phase transition of polycrystalline Ni2MnGa by directional solidification

“…Due to the complexity of preparation process in single crystal Ni 2 MnGa, it is hard to be put into mass production. Furthermore, high cost, heavy brittleness and low strength also constrain the practical application of this material in engineering [6].…”