Finite deformation analysis of isotropic magnetoactive elastomers

In this study, the large deformation analysis of the magnetoactive elastomers based on continuum mechanics approach has been conducted. First, the governing differential equations for the spatial configuration are presented. Stored energy density function defined with respect to the invariants of th...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2021, Vol.33 (1), p.163-178
Main Authors: Beheshti, Alireza, Sedaghati, Ramin, Rakheja, Subhash
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Constitutive models
Continuum mechanics
Deformation
Deformation analysis
Differential equations
Elastomers
Engineering Thermodynamics
Flux density
Heat and Mass Transfer
Internal energy
Magnetic fields
Magnetic induction
Magnetic permeability
Mathematical models
Model accuracy
Original Article
Parameter identification
Permeability
Physics
Physics and Astronomy
Static tests
Structural Materials
Tensors
Theoretical and Applied Mechanics
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Summary:In this study, the large deformation analysis of the magnetoactive elastomers based on continuum mechanics approach has been conducted. First, the governing differential equations for the spatial configuration are presented. Stored energy density function defined with respect to the invariants of the right or left Cauchy–Green deformation tensor and the magnetic field induction vector is adopted to develop a material model for finite deformation of isotropic magnetoactive elastomers (MAEs). An isotropic magnetoactive sample with 15% iron particle volume fraction is then fabricated, and a test setup has been designed to measure its magnetic permeability. Using an advanced magnetorheometer, quasi-static tests are then carried out on MAE circular cylindrical samples to find their torque-twist response under various magnetic fields. The experimental results are then effectively utilized to identify the unknown parameters in the proposed material model. The accuracy of the proposed constitutive model in predicting the response behavior of the MAE is then demonstrated through comparison of theoretical results with those obtained experimentally.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-020-00897-x