Reversible strain in Ni-Mn-Ga with collinear field and stress

LeAnn E. Faidley; Marcelo J. Dapino; Gregory N. Washington; Thomas A. Lograsso

doi:10.1117/12.600210

16 May 2005 Reversible strain in Ni-Mn-Ga with collinear field and stress

LeAnn E. Faidley, Marcelo J. Dapino, Gregory N. Washington, Thomas A. Lograsso

Proceedings Volume 5761, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics; (2005) https://doi.org/10.1117/12.600210
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2005, San Diego, California, United States

Abstract

Our previous work on ferromagnetic shape memory Ni₅₀Mn_28.7Ga_21.3 demonstrates reversible compressive strains of -4100 microstrain along the [001] direction under the application of a magnetic field also along the [001] direction with no external orthogonal restoring force. The reversibility of the strains is due to internal bias stresses oriented orthogonal to the field. These results show promise for the use of Ni-Mn-Ga as the core material in solenoid transducers. In this paper, the reversible strains are explained by considering pinning sites as the source of the internal bias stresses in the material. Following prior work by Kiefer and Lagoudas, a phenomenological model is constructed for the motion of twin variants in the presence of an orthogonal pair formed by a magnetic field and an internal bias stress. The model is formulated by considering the Zeeman, elastic, and pinning energies, from which an appropriate Gibbs energy function is constructed. Minimization of the Gibbs function then yields a constitutive model for the strain. The accuracy of this model is studied and its implementation as a hysteresis kernel in homogenization theories is discussed.

Citation Download Citation

LeAnn E. Faidley, Marcelo J. Dapino, Gregory N. Washington, and Thomas A. Lograsso "Reversible strain in Ni-Mn-Ga with collinear field and stress", Proc. SPIE 5761, Smart Structures and Materials 2005: Active Materials: Behavior and Mechanics, (16 May 2005); https://doi.org/10.1117/12.600210

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