PHENOMENOLOGICAL MODELING OF THE THERMO-MAGNETO-MECHANICAL BEHAVIOR OF MAGNETIC SHAPE MEMORY ALLOYS

Author(s):  
Vandré F. De Souza ◽  
Marcelo A. Savi ◽  
Alberto Paiva ◽  
Luciana L. Silva

2018 ◽  
Vol 29 (19) ◽  
pp. 3696-3709
Author(s):  
Vandré F de Souza ◽  
Marcelo A Savi ◽  
Luciana L Silva Monteiro ◽  
Alberto Paiva

Magnetic shape memory alloy is an interesting class of material that offers fast and contactless actuation associated with large deformation. This article deals with a novel constitutive model based on internal variables that describes the phenomenological behavior of magnetic shape memory alloys. Model formulation is developed within the framework of continuum mechanics and thermodynamics defining a mixture free energy potential based on four macroscopic phases. Zeeman effect is considered to incorporate the magnetic behavior. A numerical procedure is proposed to deal with the model nonlinearities. Model predictions are presented for different thermo-magneto-mechanical loadings treating reorientation and phase transformations. Numerical simulations are carried out showing the model capabilities and comparisons with experimental data available in the literature attesting its ability to capture the general thermo-magneto-mechanical behavior of magnetic shape memory alloys.



Author(s):  
Alex B. Waldauer ◽  
Heidi P. Feigenbaum ◽  
Constantin Ciocanel

Kiefer and Lagoudas proposed a thermodynamic model for predicting the magneto-mechanical behavior of magnetic shape memory alloys (MSMAs) and then confirmed their model experimentally [1]. The model was calibrated by placing the test specimen under a constant magnetic field and a varying compressive stress. Later, Feigenbaum and Ciocanel [2] used the model to predict behavior under a constant compressive stress and a varying magnetic field. Because the two experiments were done by different researchers on different specimens, the calibration gave different values for material paremeters. In this work, through experimental results from tests performed on the same specimen by the same researchers, the Kiefer and Lagoudas model, with any hardening function, will be shown to be unable to be calibrated so as to accurately predict the magneto-mechanical behavior of a specimen under both types of loading conditions.



Author(s):  
Alex Waldauer ◽  
Heidi P. Feigenbaum ◽  
Nickolaus M. Bruno ◽  
Constantin Ciocanel

Magnetic shape memory alloys (MSMAs) are a class of materials that exhibit large, recoverable inelastic strain. After cooling from austenite to martensite, MSMAs have a tetragonal crystalline structure with three possible orientations called variants. These variants can rotate as a result of applied stress or applied magnetic field and the resulting inelastic strain can be as high as 10% [1]. To effectively use MSMAs in any potential application, a model that can accurately predict the magneto-mechanical behavior of the MSMA is required. Kiefer and Lagoudas developed a thermodynamic basis for modeling MSMAs and then apply it in the case where two of the three martensitic variants exist [2]. The improvements to the Kiefer and Lagoudas model proposed in this paper include a different analysis of the demagnetizing effect and an inclusion of the resulting axial demagnetizing field.





2014 ◽  
Vol 74 ◽  
pp. 66-84 ◽  
Author(s):  
Nickolaus M. Bruno ◽  
Cengiz Yegin ◽  
Ibrahim Karaman ◽  
Jing-Han Chen ◽  
Joseph H. Ross ◽  
...  




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