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A superconvergent finite element for composite beams with embedded magnetostrictive patches

Ghosh, DP and Gopalakrishnan, S (2007) A superconvergent finite element for composite beams with embedded magnetostrictive patches. In: Composite Structures, 79 (3). pp. 315-330.

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A superconvergent finite element formulation for a composite beam with embedded magnetostrictive patches is presented in this paper. The element uses linear properties of magnetostrictive materials, which can act both as sensors and actuators. A refined 2-node beam element is derived based on the Euler–Bernoulli and First Order Shear Deformation Theory for axial–flexural-shear coupled deformation in asymmetrically stacked laminated composite beams with magnetostrictive patches. The element has an interpolating function, which is derived by solving the static part of the governing equations of motion exactly, where a general ply-stacking is considered. Thus, the element has superconvergent properties for static problems. The formulated consistent mass matrix, however, is approximate. Since the stiffness matrix is exact for static analysis, the formulated element predicts natural frequency to greater level of accuracy with smaller discretization compared to any other conventional finite elements. Numerical experiments are performed for static and natural frequency calculation and the superconvergent property of the formulated element is shown by comparing the solution with the standard 1-D FE beam element and 2-D FEM.

Item Type: Journal Article
Publication: Composite Structures
Publisher: Elsevier
Additional Information: Copyright of this article belongs to Elsevier.
Keywords: Magnetostrictive;Magneto-mechanical coupling;Superconvergent FEM
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 13 Aug 2007
Last Modified: 19 Sep 2010 04:38
URI: http://eprints.iisc.ac.in/id/eprint/11698

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