author = {Conti, Sergio and Lenz, Martin and Rumpf, Martin},
  title = {Hysteresis in Magnetic Shape Memory Composites: Modeling and Simulation},
  journal = {J. Mech. Phys. Solids},
  year = {2016},
  volume = {89},
  pages = {272--286},
  abstract = {Magnetic shape memory alloys are characterized by the coupling between
	the reorientation of structural variants and the rearrangement of
	magnetic domains. This permits to control the shape change via an
	external magnetic field, at least in single crystals. Composite materials
	with single-crystalline particles embedded in a softer matrix have
	been proposed as a way to overcome the blocking of the reorientation
	at grain boundaries. We investigate hysteresis phenomena for small
	NiMnGa single crystals embedded in a polymer matrix for slowly varying
	magnetic fields. The evolution of the microstructure is studied within
	the rate-independent variational framework proposed by Mielke and
	Theil (1999). The underlying variational model incorporates linearized
	elasticity, micromagnetism, stray field and a dissipation term proportional
	to the volume swept by the twin boundary. The time discretization
	is based on an incremental minimization of the sum of energy and
	dissipation. A backtracking approach is employed to approximately
	ensure the global minimality condition. We illustrate and discuss
	the influence of the particle geometry (volume fraction, shape, arrangement)
	and the polymer elastic parameters on the observed hysteresis and
	compare with recent experimental results.},
  doi = {10.1016/j.jmps.2015.12.010},
  eprint = {1502.05608},
  pdf = { 1}