On some mixed variational principles in magneto-elastostatics

Vogel, F., Bustamante, R. and Steinmann, P. (2013) On some mixed variational principles in magneto-elastostatics. International Journal of Non-Linear Mechanics, 51, pp. 157-169. (doi: 10.1016/j.ijnonlinmec.2012.12.005)

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Abstract

Some mixed variational formulations are presented for the problem of a deforming and magneto-active body completely surrounded by free space. The possibility of large elastic deformations is considered, in particular due to the application of magnetic loads. One-, two- and three-field functionals are studied, for which either the magnetic vector potential or the magnetic field strength serve as leading variable. The relations between the different formulations are explained in terms of Legendre transformations and the Lagrange multiplier method.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Steinmann, Professor Paul
Authors: Vogel, F., Bustamante, R., and Steinmann, P.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:International Journal of Non-Linear Mechanics
ISSN:0020-7462
ISSN (Online):1878-5638
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