This paper is concerned with the development of a finite element model for fully-coupled magnetomechanical boundary value problems, which allows the implementation of nonlinear, anisotropic and hysteretic material models. The formulation is based on a vector-valued magnetic potential and a small strain setting. The derivation of the numerical algorithm is considered in detail. In order to test its implementation the case of piezomagnetism is considered, for which a thermodynamically-consistent formulation is presented. The results of the finite element analysis that have been obtained for two different boundary value problems, which involve the mechanical and magnetic loading of an elastic matrix material with a transversely isotropic piezomagnetic inclusion, are discussed.

Date Published: 2 April 2008
PDF: 12 pages
Proc. SPIE 6929, Behavior and Mechanics of Multifunctional and Composite Materials 2008, 692920 (2 April 2008); doi: 10.1117/12.777609

Published in SPIE Proceedings Vol. 6929:
Behavior and Mechanics of Multifunctional and Composite Materials 2008
Marcelo J. Dapino; Zoubeida Ounaies, Editor(s)