2014/07/31 by Giorgio Pessot, Peet Cremer, Dmitry Y. Borin +4 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Affine transformation #Artificial intelligence #Characterization and Applications of Magnetic Nanoparticles #Classical mechanics #Composite material #Computer science #Deformation (meteorology) #Dipole #Distribution (mathematics) #Elastic modulus #Geology #Geometry #Image (mathematics) #Materials science #Mathematical analysis #Mathematics #Moduli #Particle (ecology) #Physics #Pickering emulsions and particle stabilization #Sample (material) #Statistical physics #Texture (cosmology) #Vibration Control and Rheological Fluids #cond-mat.soft
paper · pdf · doi:10.1063/1.4896147
published as J. Chem. Phys. 141, 124904 (2014) · 10 pages, 11 figures
openalex publication_date 2014/09/25 · arxiv created 2014/10/21 · arxiv updated 2014/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
One of the central appealing properties of magnetic gels and elastomers is that their elastic moduli can reversibly be adjusted from outside by applying magnetic fields. The impact of the internal magnetic particle distribution on this effect has been outlined and analyzed theoretically. In most cases, however, affine sample deformations are studied and often regular particle arrangements are considered. Here we challenge these two major simplifications by a systematic approach using a minimal dipole-spring model. Starting from different regular lattices, we take into account increasingly randomized structures, until we finally investigate an irregular texture taken from a real experimental sample. On the one hand, we find that the elastic tunability qualitatively depends on the structural properties, here in two spatial dimensions. On the other hand, we demonstrate that the assumption of affine deformations leads to increasingly erroneous results the more realistic the particle distribution becomes. Understanding the consequences of the assumptions made in the modeling process is important on our way to support an improved design of these fascinating materials.