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Mathematics and Mechanics of Solids
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Article

Material and Spatial Motion Problems in Nonlinear Electro- and Magneto-elastostatics

D.K. Vu and Paul Steinmann*

Friedrich-Alexander University of Erlangen-Nuremberg, Egerlandstrasse 5, 91058 Erlangen, Germany

* To whom correspondence should be addressed.


   Abstract

In this paper, material and spatial motion problems of the coupled nonlinear problem of electro- and magneto-elastostatics are discussed in the context of non-potential loading where mechanical loads are not assumed to be derived explicitly from some potential. A virtual work approach is used to derive the corresponding balance equations and boundary conditions of the material motion problems.

Key Words: nonlinear coupling, nonlinear elasticity, electricity, magnetism, material forces

First published on March 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286508098583


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