Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 13, Issue 8, Pages 725-745Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286507079832
Keywords
Magnetoelasticity; nonlinear elasticity; variational principles; smart materials
Categories
Funding
- University of Glasgow
- UK ORS award
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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.
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