On the Use of a MATLAB for the Analysis of Some Deformations in Magnetic Shape Memory Materials
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.
Country : Mexico
1 Juan Manuel Hernández Calderón2 Luis Demetrio Herrera Cobos
Universidad del Valle de México (UVM) Av. José López Portillo 346, Los Sabinos II, 55720 San Francisco Coacalco, México
Universidad del Valle de México (UVM) Av. José López Portillo 346, Los Sabinos II, 55720 San Francisco Coacalco, México
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