An analytical model for the Δ_E effect in magnetic materials

¹ LGEP, CNRS-UMR 8507, Supélec, Univ. Paris-Sud, UPMC Paris 6, Plateau de Moulon, 11 rue Joliot-Curie, 91192 Gif-sur-Yvette Cedex, France
² LMT-Cachan – ENS Cachan, CNRS-UMR 8535, UPMC Paris 6, 61 avenue du Président Wilson, 94235 Cachan Cedex, France

Corresponding author: laurent.daniel@lgep.supelec.fr

Received: 23 November 2007
Revised: 16 December 2008
Accepted: 22 December 2008
Published online: 6 February 2009

Abstract

The Δ_E effect is often presented as the dependency of the Young's modulus of a material on its state of magnetization. Nevertheless, the elastic properties of a magnetic material do not depend on the magnetization state. Actually, the sensitivity of the magnetostriction strain to the application of a stress explains the Δ_E effect. According to this statement, a semi-analytical model for the Δ_E effect is proposed, in which magnetization rotation is not considered. An experimental procedure to measure the Δ_E effect in magnetic materials is then built-up. Experimental and modeling results are finally compared, with satisfying agreement.