Computationally efficient locally linearized constitutive model for magnetostrictive materials

Abstract

This paper presents a computationally efficient constitutive model for magnetostrictive materials. High computational efficiency is achieved through the use of local linearization (about easy axes) and discrete energy-averaging techniques. The model is applied to iron-gallium alloys (Galfenol) and tested for different magnetic field orientations relative to the easy axes. It is observed that the model accurately predicts both sensing and actuation characteristics while reducing the computation time by a large factor (.1000 times) when compared to the nonlinear energy minimization models. Furthermore, the average error observed in λ-H and B-H curves is less than 3.5% with the error increasing at magnetic field orientations farther from easy axes, particularly at large magnetic field values. Finally, the model is integrated with a finite element framework to predict the response of a Galfenol rod transducer system, and parametric studies are performed for different current and prestress conditions to optimize the device performance.

Performance of Smart Materials-Based Instrumentation for Force Measurements in Biomedical Applications: A Methodological Review

“…James Prescott Joule performed the first measurements of magnetostriction by quantifying the change in length of magnetized iron samples. The Joule effect can be described by the following equation [42]:…”

Nonlinear One-Dimensional Constitutive Model for Magnetostrictive Materials

“…This has resulted in common simplifying assumptions including zero exchange coupling (i.e., paramagnetic behavior) [41][42][43][44], potentially with simplified magnetocrystalline anisotropies that treat polycrystalline cubic materials as transversely isotropic [43][44][45][46]. Improving the computational efficiency of these models has been the focus of recent research that has shown an excellent ability to fit these models to experimental data [20,41,43,[45][46][47].…”