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Geometrically nonlinear finite‐shell elements with magnetostrictive layers
Author(s) -
Lentzen Sven,
Schmidt Rüdiger
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700800
Subject(s) - magnetostriction , finite element method , shell (structure) , nonlinear system , magnetic field , mechanics , transverse plane , shear (geology) , physics , materials science , classical mechanics , mathematical analysis , structural engineering , mathematics , engineering , composite material , quantum mechanics
In this paper a geometrically nonlinear composite shell element with integrated magnetostrictive layers is presented. Three translational and two rotational nodal degrees of freedom are used for the first‐order transverse shear approximation. The finite element is used in order to investigate shape and stability control problems of structures with magnetostrictive actuator layers in the range of large deformations. The numerical approximations to this static problem are obtained using the total Lagrangian formulation for the moderate rotation shell theory. The aforementioned finite element is used to numerically investigate the actuation behaviour of the integrated magnetostrictive layers. Since the magnetic field is prescribed, the coupled magnetoelastic problem turns into a decoupled problem. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)