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A variational formulation for magneto‐active elastomers based on a total energy function
Author(s) -
Bustamante Roger,
Dorfmann Luis,
Ogden Ray W.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700146
Subject(s) - elastomer , magneto , boundary value problem , magnetic field , electromagnetic induction , displacement (psychology) , variational principle , mathematical analysis , stress (linguistics) , function (biology) , space (punctuation) , physics , classical mechanics , materials science , mathematics , computer science , composite material , magnet , quantum mechanics , psychology , linguistics , philosophy , electromagnetic coil , psychotherapist , operating system , evolutionary biology , biology
This paper focuses on a variational formulation for a magneto‐active elastomer completely surrounded by free space. The free space is considered infinite, with an applied magnetic field or magnetic induction vector as the far field boundary conditions. In addition to the effect of the Maxwell stress exterior to the body on its surface, a mechanical load is applied over a portion of the surface, but no displacement constraints are considered. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)