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DOI Prefix: 10.47001/IRJIET

On the Use of a MATLAB for the Analysis of Some Deformations in Magnetic Shape Memory Materials

Juan Manuel Hernández CalderónUniversidad del Valle de México (UVM) Av. José López Portillo 346, Los Sabinos II, 55720 San Francisco Coacalco, MéxicoLuis Demetrio Herrera CobosUniversidad del Valle de México (UVM) Av. José López Portillo 346, Los Sabinos II, 55720 San Francisco Coacalco, México

Vol 5 No 1 (2021): Volume 5, Issue 1, January 2021 | Pages: 20-39

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 20-01-2021

doi Logo doi.org/10.47001/IRJIET/2021.501004

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Abstract
The Analysis of the behavior of a Ni-Mn-Ga single crystal in cantilever is done using a MATLAB code based on the theoretical point of view of Landau´s elasticity theory [1]. The dislocation theories presented in [1–7] for crystalline materials are considered, and a set of field equations based on the decomposition of the strain tensor into a plastic and elastic behavior under the premise that in this sort of materials dislocations are geometrically organized causing a reversible elasto-plastic deformation. Some simulations are presented using experimental data from [24] where small samples of a Ni-Mn-Ga single crystal of three different geometries were subjected to bending by applying a rotating magnetic field in order to get information about the behavior of the sample in cantilever, as well as being able to get more information about the dynamic process experienced by the dislocations of the material and the deformation analysis when both the magnitude of the magnetic field and its orientation change. This information is used to establish the possible form of the strain tensor. For the purpose of the present investigation, both the slip system and the value of the Poisson ratio for Ni-Mn-Ga single crystal are proposed, since there is not enough experimental information about it. And taking into account that the highly anisotropic character of these materials does not allow to establish a constant value for the Poisson’s ratio, however the proposed MATLAB code allows to consider in each iteration the possible variation of this information.
Keywords

Magnetic shape memory, MATLAB code, Continuum mechanics, Beam bending, Elasto-plastic behavior


Citation of this Article

Juan Manuel Hernández Calderón, Luis Demetrio Herrera Cobos, “On the Use of a MATLAB for the Analysis of Some Deformations in Magnetic Shape Memory Materials” Published in International Research Journal of Innovations in Engineering and Technology - IRJIET, Volume 5, Issue 1, pp 20-39, January 2021. Article DOI https://doi.org/10.47001/IRJIET/2021.501004

Licence Copyright (c) 2026 International Research Journal of Innovations in Engineering and Technology creative common licence This work is licensed under Creative common Attribution Non Commercial 4.0 Internation Licence
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