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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},
}