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Proceedings Paper

A continuum thermodynamics formulation for micro-magneto-mechanics with applications to ferromagnetic shape memory alloys
Author(s): Chad M. Landis
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Paper Abstract

A continuum thermodynamics formulation for micromagnetics coupled with mechanics is devised to model the evolution of magnetic domain structures in magnetostrictive materials. The theory falls into the class of phase-field or diffuse-interface modeling approaches. In addition to the standard mechanical and magnetic balance laws, a set of micro-forces their associated balance laws are postulated. Thereafter, the second law of thermodynamics is analyzed to identify the appropriate material constitutive relationships. The general formulation does not constrain the magnitude of the magnetization to be constant, allowing for the possibilities of spontaneous magnetization changes associated with strain and temperature. The approach is shown to yield the commonly accepted Landau-Lifshitz-Gilbert equations for the evolution of the magnetization when the magnetization magnitude is constant. Within the theory a form for the free energy is postulated that can be applied to fit the general elastic and magnetic properties of a ferromagnetic shape memory material near its spontaneously magnetized state.

Paper Details

Date Published: 20 April 2007
PDF: 9 pages
Proc. SPIE 6526, Behavior and Mechanics of Multifunctional and Composite Materials 2007, 652625 (20 April 2007); doi: 10.1117/12.716661
Show Author Affiliations
Chad M. Landis, The Univ. of Texas at Austin (United States)

Published in SPIE Proceedings Vol. 6526:
Behavior and Mechanics of Multifunctional and Composite Materials 2007
Marcelo J. Dapino, Editor(s)

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