Experimental Characterization of Geometric Aspects of the Behavior of Magnetic Shape Memory Materials and Theoretical Interpretation


  •   Juan Manuel Hernandez

  •   P. Mullner

  •   P. Linquist

  •   J. Carreraa


Small samples of a Ni-Mn-Ga single crystal of three different geometries were subjected to bending by applying a rotating magnetic field. The magneto-mechanical behavior of the sample in cantilever was analyzed and special attention was given to elongations and curvature along the deformation process. A sequence of 3000 images was made using a high-resolution camera and the data was analyzed using a code in Matlab. Furthermore, the geometric analysis showed that, when the magnetic field is equal to cero, the sample do not recover its original shape totally and the presence of a pseudo-elastic behavior was observed. Analysis and interpretation of the data allows the presentation of some hypotheses concerning to the crystalline structure and the role of dislocations, represented by a dislocation density, in the martensite phase of these materials. These hypotheses are discussed more formally in the second part of this paper. Some experiments are proposed that would give the opportunity to a wider theoretical knowledge of MSMM.

Keywords: Magnetic Shape Memory Alloys, Dislocations, Pseudo-Elastic Behavior, Bending Strain


K. Ullakko, J.K Huang, C. Kantner, R.C. O‘Handley, and V.V. Kokorin. “Large magnetic‐field‐induced strains in Ni2MnGa single crystals” Applied Physics letters, 69. (1996) 1966-1968

Morton E. Gurtin. “An introduction to continuum mechanics”. Mathematics in science and engineering, vol 158. (1981).

L.D. Landau & E.M. Lifshitz. “Theory of Elasticity” (Volume 7 of A Course of Theoretical Physics) Pergamon Press (1963).

Dimitris C. Lagoudas, Bjoern Kiefer “Constitutive modeling of magnetic shape memory alloys with magneto-mechanical coupling” 6th International Symposium on Advanced Composites. Cortu, Greece. (2007).

N.N. Sarawate and M.J. Dapino. “Magnetization dependence on dynamic strain in ferromagnetic shape memory Ni–Mn–Ga” Journal of applied physics, Lett. 93, 062501 (2008).

J.Y. Gauthier, C. Lexcellent, A. Hubert, J. Abadie, and N. Chaillet. “Modeling Rearrangement Process of Martensite Platelets in a Magnetic Shape Memory Alloy Ni2MnGa Single Crystal under Magnetic Field and (or) Stress Action” Journal of intelligent Material Systems and structures, 18, (2007).

S. Rajasekhara, P. J. Ferreira. “A dislocation model for the magnetic field induced shape memory effect in Ni2MnGa” Scripta materialia, 53, (2005). 817-822

S. Bohua. “On plastic dislocation density tensor” Results in Physics, 12, (2019), 886-887

S. Kweon, D. Raja. “Investigation of the mechanical response of single crystal magnesium considering slip and twin” International Journal of Plasticity, 112, (2018) 1-17.

K. C. Le, Intenational Journal of Plasticity,76 (2015) 201-230.

J, Wang. “Dislocation slip and twinning stress in shape memory alloys theory and experiments” PhD Dissertation. University of Illinois (2013).

A. Rothenbühler, E. Barney, P. Müllner. “Application of Image Processing to track Twin Boundary Motion in Magnetic Shape Memory Alloys” SPIE-IS&T, (2012).

N. J. Kucza, C. L. Patrick & P. Müllner. “Magnetic-field-induced bending and straining of Ni–Mn–Ga single crystal beams with high aspect ratios” Acta Materialia 95. (2015). 284-290.

P. Müllner, V. Chernenko, and G. Kostorz. “A microscopic approach to the magnetic-field-induced deformation of martensite (magnetoplasticity)” Journal of the Magnetism and Magnetics Materials, 267, Issue 3 (2003).

D.Kellis, A.Smith, K.Ullakko, P.Müllner “Oriented single crystals of Ni–Mn–Ga with very low switching field”, Journal of Crstal Growth 359 (2012) 64-68

Chmielus, Glavatskyy, Hoffmann, Chernenko, Schneider, Müllner, “Influence of constraints and twinning stress on magnetic field-induced strain of magnetic shape-memory alloys” Scripta Mater. 64(2011) 888-891

R. Feynman “Lectures on Physics”, Vol II, Chapter 38-4 (1964).

Chmielus, Witherspoon, Ullakko, Müllner, “Effects of surface damage on twinning stress and the stability of twin microstructures of magnetic shape memory alloys” Acta Maer 59 (2011) 2948-2956

Straka, Lanska, Hänninen, Sozinov, “Twin interaction and large magnetoelasticity in Ni-Mn-Ga single crystals” Journal of Appl. Phys. 109 (2011) 063504.


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How to Cite
Hernandez, J., Mullner, P., Linquist, P. and Carreraa, J. 2019. Experimental Characterization of Geometric Aspects of the Behavior of Magnetic Shape Memory Materials and Theoretical Interpretation. European Journal of Engineering and Technology Research. 4, 3 (Mar. 2019), 121-126. DOI:https://doi.org/10.24018/ejers.2019.4.3.1147.