K. Fabian et F. Heider, HOW TO INCLUDE MAGNETOSTRICTION IN MICROMAGNETIC MODELS OF TITANOMAGNETITE GRAINS, Geophysical research letters, 23(20), 1996, pp. 2839-2842
Numerical models of the micromagnetic structure of titanomagnetite par
ticles require the consideration of magnetostriction. A new technique
for calculating magnetostrictive self energies in finite element model
s is introduced. The method is based on the continuum theory of defect
s [Kroner, 1958]. By solving the biharmonic equation for the second or
der stress function tensor in an infinite elastically homogeneous medi
um the treatment of the magnetostrictive energy becomes similar to the
treatment of demagnetizing energy. Fast Fourier Transformation can th
erefore be applied to the calculation of both; demagnetizing and magne
tostrictive energies.