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Computational nonlinear electro-elasticity – getting started. (English) Zbl 1213.74139
Ogden, Ray W. (ed.) et al., Mechanics and electrodynamics of magneto- and electro-elastic materials. Papers based on the presentations at the advanced school, Udine, Italy, June 29 to July 3, 2009. Wien: Springer (ISBN 978-3-7091-0700-3/hbk). CISM Courses and Lectures 527, 181-230 (2011).
Summary: The intention of this contribution is to provide the basic ingredients needed for the formulation and computation of nonlinear problems in electro-elasticity. Thus, firstly the underlying variational setting of nonlinear electro-elasticity is outlined. Then, secondly the appropriate discretization in terms of the finite element method combined with the boundary element method together with the corresponding solution method are discussed in much detail. Finally the solution of some nonlinear boundary value problems demonstrates the applicability of the derived methods and highlights the characteristic features of coupled problems in nonlinear electro-elasticity.
For the entire collection see [Zbl 1209.74005].

MSC:
74F15 Electromagnetic effects in solid mechanics
74B20 Nonlinear elasticity
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