Browsing by Author "Ethiraj, Gautam"

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    Computational modeling of ferromagnetics and magnetorheological elastomers
    (2014) Ethiraj, Gautam; Miehe, Christian (Prof. Dr.-Ing.)
    The aim of this work is to present new variational-based computational modeling approaches for selected materials that have coupled magnetic and mechanical properties. In order to solve the magnetomechanically coupled boundary value problems, we employ the finite element method and also discuss certain aspects that are peculiar to magnetomechanical problems such as the unity constraint on the magnetization, the incorporation of the surrounding free space, the micromechanics of the coupled response etc. Thus, we present continuum models motivated by underlying physical phenomena at the micro- and nano-scale that are embedded in appropriate variational-based finite element frameworks allowing the simulation and visualisation of finite-sized bodies. Specifically, we present the computational modeling of two types of magnetostrictive materials namely, 1. Ferromagnetic materials with magnetic domain microstructures that evolve dissipatively. Our approach is based on Brown's theory of micromagnetics and now extended and implemented within the computationally powerful finite element method in which the focus is on the geometric consistency of the numerical setting. 2. Magnetorheological Elastomers (MREs) where we will introduce a modular approach for the construction of micromechanically motivated models for the constitutive response of such materials. Motivated by Toupins work on the elastic dielectric, we will discuss the variational principle and the implementation in the finite element framework. In modeling the above materials, we span the range of scales involved in continuum magnetomechanics, and also highlight the variety of challenges that exist in the field. From the theoretical and computational standpoint, this work aims to contribute to the ultimate goal of construction of a compatible hierarchy of models for magnetomechanically coupled materials.