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Related papers: Homogenization in magnetic-shape-memory polymer co…

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We present a computational framework for two-scale asymptotic homogenization to determine the intrinsic magnetic permeability of composites. To this end, considering linear magnetostatics, both vector and scalar potential formulations are…

Materials Science · Physics 2023-01-05 Celal Soyarslan , Jos Havinga , Leon Abelmann , Ton van den Boogaard

Nowadays, magnetoresponsive soft materials, based not simply on magnetic nanoparticles, but rather on multiple components with distinct sizes and magnetic properties, both in liquid and polymeric carriers, are becoming more and more…

Soft Condensed Matter · Physics 2024-02-06 Andrey A. Kuznetsov , Sofia S. Kantorovich

Novel multicaloric cooling utilizing the giant caloric response of Ni-Mn-based metamagnetic shape-memory alloys to different external stimuli such as magnetic field, uniaxial stress and hydrostatic pressure is a promising candidate for…

This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous material consisting of an ambient material with inserted…

Analysis of PDEs · Mathematics 2024-12-17 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

Arrays of cylindrical metal micro-resonators embedded in a dielectric matrix were proposed by Pendry, et. al., in 1999 as a means of creating a microscopic structure that exhibits strong bulk magnetic behavior at frequencies not realized in…

Mathematical Physics · Physics 2007-12-14 Robert V. Kohn , Stephen P. Shipman

The size of micromagnetic structures, such as domain walls or vortices, is comparable to the exchange length of the ferromagnet. Both, the exchange length of the stray field $l_s$ and the magnetocrystalline exchange length $l_k$ are…

Computational Physics · Physics 2015-06-18 Christian Andreas , Sebastian Gliga , Riccardo Hertel

At high densities fluids of strongly dipolar spherical particles exhibit spontaneous long-ranged orientational order. Typically, due to demagnetization effects induced by the long range of the dipolar interactions, the magnetization…

Soft Condensed Matter · Physics 2009-10-30 B. Groh , S. Dietrich

Manipulating the way in which colloidal particles self-organise is a central challenge in the design of functional soft materials. Meeting this challenge requires the use of building blocks that interact with one another in a highly…

Soft Condensed Matter · Physics 2021-03-30 Joe G Donaldson , Peter Schall , Laura Rossi

In this work, we develop a new systematic and self-consistent approach to homogenize arbitrary non-magnetic periodic metamaterials. The proposed method does not rely on the solution of an eigenvalue problem and can fully characterize the…

Materials Science · Physics 2015-06-25 Mario G. Silveirinha

Some of the synthesis methods and physical properties of iron-oxide based magnetic nanoparticles such as Fe3-xO4 and CoxFe3-xO4 are reviewed because of their interest in health, environmental applications, and ultra-high-density magnetic…

The purpose of this study is to inspect the combined effect of reinforcement shape and packing on the macroscopic behaviour of particulate composites. The introduced micromechanical approach modifies the Morphologically Representative…

Soft Condensed Matter · Physics 2025-05-01 M. Majewski

Ferrogels, i.e., hydrogels loaded with magnetic nanoparticles, have the ability to deform in external magnetic fields. The precise shape of deformation and the alignment of the gel in the field, however, depend on the interplay of several…

Soft Condensed Matter · Physics 2017-04-24 Rudolf Weeber , Christian Holm

We analyze the magnetostriction effect occurring in the magneto-sensitive elastomers (MSEs) containing inhomogeneously magnetized particles. As it was shown before, the expression for the interaction potential between two magnetic spheres,…

Soft Condensed Matter · Physics 2023-04-26 Dmytro Yaremchuk , Dmytro Ivaneyko , Jaroslav Ilnytskyi

We determine the effective behavior of a class of composites in finite-strain crystal plasticity, based on a variational model for materials made of fine parallel layers of two types. While one component is completely rigid in the sense…

Analysis of PDEs · Mathematics 2016-04-13 Fabian Christowiak , Carolin Kreisbeck

This study proposes a multi-field asymptotic homogenization for the analysis of thermo-piezoelectric materials with periodic microstructures. The effect of the microstructural heterogeneity is taken into account by means of periodic…

Materials Science · Physics 2017-01-13 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi

Here homogenization theory is used to establish a connection between the symmetries of a periodic elastic structure associated with the microscopic properties of an elastic material and the material symmetries of the effective, macroscopic…

Mathematical Physics · Physics 2015-12-29 Mariya Ptashnyk , Brian Seguin

Magnetic composite materials i.e. elastomers, polymer gels, or polymer solutions with embedded magnetic nanoparticles are useful for many technical and bio-medical applications. However, the microscopic details of the coupling mechanisms…

Soft Condensed Matter · Physics 2020-10-30 Patrick Kreissl , Christian Holm , Rudolf Weeber

In this contribution a magnetoactive elastomer (MAE) of mixed content, i.e., a polymer matrix filled with a mixture of magnetically soft and magnetically hard spherical particles, is considered. The object we focus at is an elementary unit…

Soft Condensed Matter · Physics 2022-10-26 Oleg V. Stolbov , Pedro A. Sánchez , Sofia S. Kantorovich , Yuriy L. Raikher

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations correlating the microscopic fields to the…

Mathematical Physics · Physics 2015-12-31 A. Bacigalupo , L. Morini , A. Piccolroaz

Magneto-active elastomers exhibit large, nonlinear deformations under combined mechanical loading and magnetic fields, and their effective behavior is strongly governed by microstructural heterogeneity. Predictive modeling of these…

Computational Engineering, Finance, and Science · Computer Science 2026-03-30 L. River Spencer , Manuel K. Rausch , Chad M. Landis , Jan N. Fuhg