A Cascading Mean-Field Approach to the Calculation of Magnetization Fields in Magnetoactive Elastomers

摘要: We consider magnetoactive elastomer samples based on the elastic matrix and magnetizable particle inclusions. The application of an external magnetic field to such composite causes magnetization particles, which start interact with each other. This interaction is determined by field, generated not only but also fields arising in surroundings interacting particles. Due scale invariance interactions (O(r−3) d=3 dimensions), a comprehensive description local as well global effects requires knowledge about within individual particles mesoscopic portions material. Accordingly, any precise calculation becomes technically infeasible for specimen comprising billions arranged macroscopic sample boundaries. Here, we show way out this problem presenting greatly simplified, accurate approximation approach computation samples. Based dipole model interactions, introduce cascading mean-field separating it into three contributions micro-, meso-, macroscale. It revealed that are nested other, Matryoshka’s toy. Such accompanied appropriate linearization scheme allows efficient transparent analysis elastomers under rather general conditions.