Modeling the dynamic magneto-mechanical response of magnetic shape memory alloys based on Hamilton’s principle: The governing equation system

Wang, Jiong; Fan, Chengkai; Steinmann, Paul

doi:10.1016/j.jmps.2021.104761

Cited by 2 publications

(1 citation statement)

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“…In many cases that is done by introducing internal variables that describe alloy microstructures: the volume ratio of different variants, the volume ratio of the magnetic domains, and the orientations of the magnetization vectors [31], [32], [33], [34], [35], [36], [37]. Many of these models were successfully implemented using numerical finite element techniques [34], [37], [38], including non-conventional ones, such as the absolute nodal coordinate formulation [39].A development of the model to study the quasi-static movement of TBs based on internal variables was reported in [40], and recent work [41] presents a numerical algorithm for studying the dynamic magnetomechanical response of MSM alloys.…”

Section: Introductionmentioning

confidence: 99%

3-D Meso-Scale Finite Element Calculations of Free Energy on Twin Boundaries in Magnetic Shape Memory Alloys

Nemov,

Saren,

Matikainen

et al. 2024

IEEE Trans. Magn.

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Smart structures based on the magnetic shape memory (MSM) effect feature giant magnetic field-induced strains and an ultra-fast response. MSM alloys could be used in a variety of applications such as digital hydraulics, microfluidic systems, soft robotics. However, practical implementation of the MSM effect is complicated by a lack of precise engineering simulation tools suitable for designing structures using the MSM alloys. Presented here is an approach to calculating the difference in free energy across twin boundaries, which is the driving force for structural transformations in MSM alloys. The approach, based on 3D finite element simulations, makes it possible to consider an entire specimen while accounting for complex inner and outer non-homogeneous magnetic fields. Based on the simulation results obtained, conclusions are offered regarding the effect of different modeling approaches and experimental setups on free energy differences across twin boundaries.

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