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Open AccessJournal ArticleDOI

Aspects of computational homogenization in magneto-mechanics: Boundary conditions, RVE size and microstructure composition

TLDR
In this article, the behavior of heterogeneous magnetorheological composites subjected to large deformations and external magnetic fields is studied and different types of boundary conditions based on the primary variables of the magneto-elastic enthalpy and internal energy functionals are applied to solve the problem at the micro-scale.
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This article is published in International Journal of Solids and Structures.The article was published on 2018-01-01 and is currently open access. It has received 25 citations till now. The article focuses on the topics: Boundary value problem & Periodic boundary conditions.

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Citations
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Nonlinear Finite Elements For Continua And Structures

TL;DR: Kindly say, the nonlinear finite elements for continua and structures is universally compatible with any devices to read.
Journal ArticleDOI

Recent advances in hard-magnetic soft composites: Synthesis, characterisation, computational modelling, and applications

TL;DR: Hard-magnetic soft composites consist of magneto-active polymers (MAPs) where the fillers are composed of hardmagnetic (magnetically polarised) particles as mentioned in this paper.
Journal ArticleDOI

FE2 simulations of magnetorheological elastomers: influence of microscopic boundary conditions, microstructures and free space on the macroscopic responses of MREs

TL;DR: In this article, a fully-coupled two-scale finite element computational homogenization procedure is used to derive the material response at the macro-scale from the averaged response of the underlying micro-scale problem.
Journal ArticleDOI

On periodic boundary conditions and ergodicity in computational homogenization of heterogeneous materials with random microstructure

TL;DR: In this paper, the authors compare large-scale non-simplified and non-ergodic models with simplified, parametric, ergodic, and sometimes periodic models and demonstrate that for a stochastic problem there are more than three classical types of boundary conditions.
Journal ArticleDOI

A Finite Element Framework for Magneto-Actuated Large Deformation and Instability of Slender Magneto-Active Elastomers

TL;DR: In this paper, an efficient finite element framework for modeling the finite deformations of slender magneto-active elastomers (MAE) under applied magnetic fields or currents is presented.
References
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Journal ArticleDOI

Elastic properties of reinforced solids: some theoretical principles

TL;DR: In this paper, an elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli, and the approach is completely general and exact.
Book

Nonlinear Finite Elements for Continua and Structures

TL;DR: In this paper, the authors present a list of boxes for Lagrangian and Eulerian Finite Elements in One Dimension (LDF) in one dimension, including Beams and Shells.
Journal ArticleDOI

MR fluid, foam and elastomer devices

TL;DR: Magnetorheological (MR) fluids, foams and elastomers comprise a class of smart materials whose rheological properties may be controlled by the application of an external magnetic field.
Journal ArticleDOI

Constitutive analysis of elastic-plastic crystals at arbitrary strain

TL;DR: In this paper, a general time-independent constitutive framework for crystals capable of crystallographic shearing is presented, where no restrictions are placed on their elasticity or on the amounts of slip.
Journal ArticleDOI

An approach to micro-macro modeling of heterogeneous materials

TL;DR: A micro-macro strategy suitable for modeling the mechanical response of heterogeneous materials at large deformations and non-linear history dependent material behaviour is presented and its performance is illustrated by the simulation of pure bending of porous aluminum.
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