  Small magnetic particles placed in a relatively soft polymer (with elastic
modulus E ~ 10-100 kPa) are magnetically soft elastomers. The external magnetic
field acts on each particle which leads to microscopic deformation of the
material and consequently to changing of its shape - magnetostriction. For
purposes of studying of magnetostriction the model of movable cellular automata
(MCA), in which a real heterogeneous material is an ensemble of interacting
elements of finite size - automata, is used. It is supposed to be that the
motion of each automata can be described by Newton's Second law. The force
acting on the i-th automata consists of the following components:
volume-dependent force acting on the automata i which is caused by pressure
from the surrounding automata; force of an external magnetic field acting on
the i-th automata with some magnetic moment; and normal and tangential
interaction force between a pair of i and j automata. This approach was used
for modeling of magnetostriction elastomer.
