Modeling of Terfenol-D Biased Minor Hysteresis Loops

Abstract

When modeling the biased minor loops of the giant magnetostrictive material (GMM) with the classic Jiles-Atherton method, it is hard to describe the characters. When analyzing the shape changing rule of the hysteresis minor loops of Terfenol-D, whose magnetizations are not saturated, the shapes of loops are mainly affected by pinning factor <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</i> and by curve shape parameter <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a</i> . The parameter <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</i> increases with the amplitude of the minor loop driving magnetic field and decreases with the bias magnetic field, while parameter <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a</i> decreases with the bias magnetic field of the minor loop. A sigmoid curve function was adopted as the revision function of <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</i> and <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">a</i> . The revised minor loop model not only can well demonstrate the hysteresis character of biased minor loops and symmetric minor loops of Terfenol-D, but also does not need any foregoing information of minor loop magnetizations. The maximum error between the simulation results and experiments is reduced from 11.77% to 3.5%.