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Modeling and Simulation of Rate‐Dependent Magneto‐Active Polymers
Author(s) -
Haldar Krishnendu,
Kiefer Bjoern,
Menzel Andreas
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410188
Subject(s) - viscoelasticity , magneto , nonlinear system , constitutive equation , dependency (uml) , coupling (piping) , deformation (meteorology) , magnetization , viscosity , materials science , work (physics) , magnetostriction , thermodynamics , saturation (graph theory) , magnetic field , statistical physics , mechanics , physics , finite element method , mathematics , computer science , composite material , power (physics) , software engineering , quantum mechanics , combinatorics
Abstract In the present work, the magneto‐viscoelastic behavior of MAPs is studied by a thermodynamically consistent constitutive model. A finite deformation based framework of nonlinear magneto‐viscoelastic coupling is introduced with a multiplicative decomposition of the deformation gradient. The viscosity is captured by evolution equations of the internal variables introduced. We propose energy functions for pure magnetic and magneto‐mechanical coupling such that saturation behavior of the magnetostriction and magnetization is captured. After having established the general framework, the model is studied for homogeneous deformations for the purpose of a least‐square‐based parameter identification from experimental data. The model predictions of non‐linear magneto‐mechanical responses with strong rate and field dependency are presented. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)