author = {Conti, Sergio and Lenz, Martin and Rumpf, Martin},
  title = {Modeling and Simulation of Magnetic Shape-Memory Polymer Composites},
  journal = {Journal of Mechanics and Physics of Solids},
  year = {2007},
  volume = {55},
  pages = {1462--1486},
  abstract = {Composites of small magnetic-shape-memory (MSM) particles embedded
	in a polymer matrix have been proposed as an energy damping mechanism
	and as actuators. Compared to a single crystal bulk material, the
	production is simpler and more flexible, as both type of the polymer
	and geometry of the microstructure can be tuned. Compared to polycrystals,
	in composites the soft polymer matrix permits the active grains to
	deform to some extent independently; in particular the rigidity of
	grain boundaries arising from incompatible orientation is reduced.
	We study the magnetic-field-induced deformation of composites, on
	the basis of a continuous model incorporating elasticity and micromagnetism,
	in a reduced two-dimensional, plane strain setting. Based on homogenization
	theory, we determine the macroscopic behaviour by studying an affine-periodic
	cell problem. An energy descent algorithm is developed, whose main
	ingredients are a boundary element method for the computation of
	the elastic and magnetic field energies; and a combinatorial component
	reflecting the phase transition in the individual particles, which
	are assumed to be of single--domain type. Our numerical results demonstrate
	the behavior of the macroscopic material properties for different
	possible microstructures, and give suggestions for the optimization
	of the composite.},
  doi = {10.1016/j.jmps.2006.12.008},
  pdf = { 1}