On variational formulations in nonlinear magnetoelastostatics

Bustamante, R., Dorfmann, A. and Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics. Mathematics and Mechanics of Solids, 13(8), pp. 725-745. (doi:10.1177/1081286507079832)

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Abstract

Two new variational principles for nonlinear magnetoelastostatics are derived. Each is based on use of two independent variables: the deformation function and, in one case the scalar magnetostatic potential, in the other the magnetostatic vector potential. The derivations are facilitated by use of Lagrangian magnetic field variables and constitutive laws expressed in terms of these variables. In each case all the relevant governing equations, boundary and continuity conditions emerge. These principles have a relatively simple structure and therefore offer the prospect of leading to finite-element formulations that can be used in the solution of realistic boundary-value problems.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond and Bustamante, Mr Roger
Authors: Bustamante, R., Dorfmann, A., and Ogden, R.W.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematics and Mechanics of Solids
ISSN:1081-2865
ISSN (Online):1741-3028

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