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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i3.40
pages 337-349

Multiscale Finite Element Modelling of Pattern Formation in Magnetostrictive Composite Thin Film

D. Roy Mahapatra
Mathematical Modelling and Computational Sciences, Wilfrid Laurier University, Waterloo, ON N2L3C5, Canada; and Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India
D. P. Ghosh
Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India
S. Gopalakrishnan
Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India

ABSTRACT

A multiscale finite element model with subgrid-scale spatial homogenization and stability estimate for time discretization in the context of magnetostrictive composite thin-film micromagnetics are reported in this paper. Developments of the phenomenological microscopic constitutive model and the subsequent multiscale approach are aimed at analyzing the formation of magnetic domains in Terfenol-D/epoxy thin film under transverse magnetic (TM) mode of excitation. The phenomenological constitutive model is based on the density of domain switching (DDS) of an ellipsoidal inclusion in a unit cell. The subgrid-scale spatial homogenization works as a method of upwinding the small-scale micromagnetism and magnetostriction to the larger length scale. Numerical results indicate complex features of this thin-film dynamics, such as the formation of connected domains.


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