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Computational electro- and magneto-elasticity for quasi-incompressible media immersed in free space

by jppelteret

Authors: J-P. V. Pelteret, D. Davydov, A. McBride, D. K. Vu, and P. Steinmann

In this work a mixed variational formulation to simulate quasi-incompressible electro- or magneto-active polymers immersed in the surrounding free space is presented. A novel domain decomposition is used to disconnect the primary coupled problem and the arbitrary free space mesh update problem. Exploiting this decomposition we describe a block iterative approach to solving the linearised multiphysics problem, and a physically and geometrically based, three-parameter method to update the free space mesh. Several application-driven example problems are implemented to demonstrate the robustness of the mixed formulation for both electro-elastic and magneto-elastic problems involving both finite deformations and quasi-incompressible media. [1]

[1] [doi] J-P. V. Pelteret, D. Davydov, A. McBride, D. K. Vu, and P. Steinmann, “Computational electro- and magneto-elasticity for quasi-incompressible media immersed in free space,” International Journal for Numerical Methods in Engineering, vol. 108, iss. 11, pp. 1307-1342, 2016.
[Bibtex]
@Article{pelteret2016a-preprint,
author = {Pelteret, J-P. V. and Davydov, D. and McBride, A. and Vu, D. K. and Steinmann, P.},
title = {Computational electro- and magneto-elasticity for quasi-incompressible media immersed in free space},
journal = {International Journal for Numerical Methods in Engineering},
year = {2016},
volume = {108},
number = {11},
pages = {1307--1342},
abstract = {In this work a mixed variational formulation to simulate quasi-incompressible electro- or magneto-active polymers immersed in the surrounding free space is presented. A novel domain decomposition is used to disconnect the primary coupled problem and the arbitrary free space mesh update problem. Exploiting this decomposition we describe a block iterative approach to solving the linearised multiphysics problem, and a physically and geometrically based, three-parameter method to update the free space mesh. Several application-driven example problems are implemented to demonstrate the robustness of the mixed formulation for both electro-elastic and magneto-elastic problems involving both finite deformations and quasi-incompressible media.},
comment = {PREPRINT},
doi = {10.1002/nme.5254},
file = {pelteret2016a-preprint.pdf:PDF/pelteret2016a-preprint.pdf:PDF},
keywords = {Nonlinear electro-/magneto-elasticity; quasi-incompressible media; free space; finite strain},
owner = {Jean-Paul Pelteret},
timestamp = {2016.03.21},
}

Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure

by jppelteret

Authors: P. Saxena, J-P. V. Pelteret, and P. Steinmann

Magneto-active polymers are a class of smart materials commonly manufactured by mixing micron-sized iron particles in a rubber-like matrix. When cured in the presence of an externally applied magnetic field, the iron particles arrange themselves into chain-like structures that lend an overall anisotropy to the material. It has been observed through electron micrographs and X-ray tomographs that these chains are not always perfect in structure, and may have dispersion due to the conditions present during manufacturing or some undesirable material properties. We model the response of these materials to coupled magneto-mechanical loading in this paper using a probability based structure tensor that accounts for this imperfect anisotropy. The response of the matrix material is decoupled from the chain phase, though still being connected through kinematic constraints. The latter is based on the definition of a ‘chain deformation gradient’ and a ‘chain magnetic field’. We conclude with numerical examples that demonstrate the effect of chain dispersion on the response of the material to magnetoelastic loading. [1]

[1] [pdf] [doi] P. Saxena, J-P. V. Pelteret, and P. Steinmann, “Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure,” European Journal of Mechanics A/Solids, vol. 50, pp. 132-151, 2015.
[Bibtex]
@Article{saxena2015a-preprint,
author = {Saxena, P. and Pelteret, J-P. V. and Steinmann, P.},
title = {Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure},
journal = {European Journal of Mechanics A/Solids},
year = {2015},
volume = {50},
pages = {132--151},
month = {March--April},
abstract = {Magneto-active polymers are a class of smart materials commonly manufactured by mixing micron-sized iron particles in a rubber-like matrix. When cured in the presence of an externally applied magnetic field, the iron particles arrange themselves into chain-like structures that lend an overall anisotropy to the material. It has been observed through electron micrographs and X-ray tomographs that these chains are not always perfect in structure, and may have dispersion due to the conditions present during manufacturing or some undesirable material properties. We model the response of these materials to coupled magneto-mechanical loading in this paper using a probability based structure tensor that accounts for this imperfect anisotropy. The response of the matrix material is decoupled from the chain phase, though still being connected through kinematic constraints. The latter is based on the definition of a 'chain deformation gradient' and a 'chain magnetic field'. We conclude with numerical examples that demonstrate the effect of chain dispersion on the response of the material to magnetoelastic loading.},
doi = {10.1016/j.euromechsol.2014.10.005},
file = {saxena2015a-preprint.pdf:PDF/saxena2015a-preprint.pdf:PDF},
keywords = {Nonlinear magnetoelasticity; Anisotropy; Chain dispersion},
owner = {Jean-Paul Pelteret},
timestamp = {2015.10.11},
}

Magnetic force and torque on particles subject to a magnetic field

by jppelteret

Authors: F. Vogel, J-P. V. Pelteret, S. Kaessmair, and P. Steinmann

Materials that are sensitive to an applied magnetic field are of increased interest and use to industry and researchers. The realignment of magnetizable particles embedded within a substrate results in a deformation of the material and alteration of its intrinsic properties. An increased understanding of the influence of the particles under magnetic load is required to better predict the behaviour of the material. In this work, we examine two distinct approaches to determine the resulting magnetic force and torque generated within a general domain. The two methodologies are qualitatively and quantitatively compared, and we propose scenarios under which one is more suitable for use than the other. We also describe a method to compute the generated magnetic torque. These post-processing procedures utilize results derived from a magnetic scalar-potential formulation for the large deformation magneto-elastic problem. We demonstrate their application in several examples involving a single and two particle system embedded within a carrier matrix. It is shown that, given a chosen set of boundary conditions, the magnetic forces and torques acting on a particle are influenced by its shape, size and location within the carrier. [1]

[1] [pdf] [doi] F. Vogel, J-P. V. Pelteret, S. Kaessmair, and P. Steinmann, “Magnetic force and torque on particles subject to a magnetic field,” European Journal of Mechanics A/Solids, vol. 48, pp. 23-31, 2014.
[Bibtex]
@Article{vogel2014a-preprint,
author = {Vogel, F. and Pelteret, J-P. V. and Kaessmair, S. and Steinmann, P.},
title = {Magnetic force and torque on particles subject to a magnetic field},
journal = {European Journal of Mechanics A/Solids},
year = {2014},
volume = {48},
pages = {23--31},
month = {November--December},
abstract = {Materials that are sensitive to an applied magnetic field are of increased interest and use to industry and researchers. The realignment of magnetizable particles embedded within a substrate results in a deformation of the material and alteration of its intrinsic properties. An increased understanding of the influence of the particles under magnetic load is required to better predict the behaviour of the material. In this work, we examine two distinct approaches to determine the resulting magnetic force and torque generated within a general domain. The two methodologies are qualitatively and quantitatively compared, and we propose scenarios under which one is more suitable for use than the other. We also describe a method to compute the generated magnetic torque. These post-processing procedures utilize results derived from a magnetic scalar-potential formulation for the large deformation magneto-elastic problem. We demonstrate their application in several examples involving a single and two particle system embedded within a carrier matrix. It is shown that, given a chosen set of boundary conditions, the magnetic forces and torques acting on a particle are influenced by its shape, size and location within the carrier.},
doi = {10.1016/j.euromechsol.2014.03.007},
file = {vogel2014a-preprint.pdf:PDF/vogel2014a-preprint.pdf:PDF},
keywords = {Magnetoactive materials; Magnetoelasticity; Finite-element method},
owner = {Jean-Paul Pelteret},
timestamp = {2015.10.11},
}