Modelling the effect of particle arrangement on the magnetoelectric response of a polymer multiferroic film.

In this work the behavior of a three-component composite multiferroic (MF)-an electrically neutral polymer matrix filled with a mixture of piezoelectric and ferromagnetic micrometer-size particles-is investigated in the framework of a simple mesoscopic model. The main issue of interest is the electric polarization generated in a thin film of such an MF in response to a quasistatic magnetic field. The driving mechanism of the effect is rotation of magnetically hard particles inside the matrix which, in turn, transfers the arisen mechanical stresses to the piezoelectric grains.

Large-Scale Shape Transformations of a Sphere Made of a Magnetoactive Elastomer.

Magnetostriction effect, i.e., deformation under the action of a uniform applied field, is analyzed to detail for a spherical sample of a magnetoactive elastomer (MAE).

Field-induced surface deformation of magnetoactive elastomers with anisometric fillers: a single-particle model.

Surface relief of magnetoactive elastomers (MAEs) based on soft polymer matrices filled with anisometric magnetically hard fillers is studied theoretically in magnetic fields applied perpendicular to the MAE surface. A single-particle 2D cell model describing the rotation of one individual elliptical particle in a near-surface MAE layer is developed. The equilibrium rotation angle of particles is defined by a balance between Zeeman, magnetic anisotropy and elastic (generated in the polymer matrix) energy increments.

Modeling the magnetostriction effect in elastomers with magnetically soft and hard particles.

We analyze theoretically the field-induced microstructural deformations in a hybrid elastomer, that consists of a polymer matrix filled with a mixture of magnetically soft and magnetically hard spherical microparticles. These composites were introduced recently in order to obtain a material that allows the tuning of its properties by both, magnetically active and passive control. Our theoretical analysis puts forward two complementary models: a continuum magnetomechanical model and a bead-spring computer simulation model.

Mesoscopic magnetomechanical hysteresis in a magnetorheological elastomer.

Field-induced magnetostatic interaction in a pair of identical particles made of a magnetically soft ferromagnet is studied. It is shown that due to saturation of the ferromagnet magnetization, this case differs significantly from the (super)paramagnetic one. A numerical solution is given, discussed, and compared with that provided by a simpler model (nonlinear mutual dipoles).

Numerical modeling of large field-induced strains in ferroelastic bodies: a continuum approach.

A consistent continuum model of a soft magnetic elastomer (SME) is presented and developed for the case of finite strain. The numeric algorithm enabling one to find the field-induced shape changes of an SME body is described. The reliability of the method is illustrated by several examples revealing specifics of the magnetostriction effect in SME samples of various geometries.