SKM 2021 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Soft Matter (joint session CPP/DY)

DY 6.5: Talk

Wednesday, September 29, 2021, 11:45–12:00, H3

Calculating Magnetization Fields in Magnetoactive Elastomers: A Cascading Mean-Field Approach — •Dirk Romeis and Marina Saphiannikova — Leibniz Institute of Polymer Research Dresden, Germany

We consider the application of an external magnetic field to a composite of a non-magnetizable elastomer matrix with embedded magnetizable particle inclusions. The resulting interactions are determined by the magnetization field which is generated not only by the external magnetic field but also by the magnetic fields arising due to surrounding inclusions. A comprehensive description requires knowledge about the magnetization of individual particles and of macroscopic portions of the composite. Accordingly, a precise calculation becomes elaborate for a specimen comprising billions of particles. We present a greatly simplified, but accurate approximation for the computation of magnetization fields in such composites. Based on the dipole model, we introduce the cascading mean-field description [1] by separating the magnetization field into three contributions on the micro-, meso-, and macroscale. It is revealed that the contributions are nested into each other, as in the Matryoshka's toy. Our description allows for an efficient and transparent analysis of such composite materials under rather general conditions.

Financial support by DFG, SPP 1713, is gratefully acknowledged.

[1] D. Romeis and M. Saphiannikova: A cascading mean-field approach to the calculation of magnetization fields in magnetoactive elastomers. Polymers, 13(9):1372, 2021.