Research 

Homogenization of ferromagnetic composites (jointly with G R Krishna Chand Avatar, Ph.D. (Aero), IISc)

Development of mathematical model

• We expand the magnetization field over the domain (here, ferromagnetic composite) in terms of an asymptotic series expansion

• We utilize two-scale convergence to obtain a generic expression for the total energy functional of ferromagnetic composites

Solution of model configuration

• We construct model unit cells with various ordered arrangement of magnetic inclusions and determine the corresponding total energy functional

• We solve for magnetization in all configurations and analyze the results

Further validation using finite element simulations

• Finite element simulations are setup

Paper in preparation 

Magnetoelasticity of slender structures