Finite element model of efficient zig-zag theory for static analysis of hybrid piezoelectric beams

Kapuria, S. ; Dumir, P. C. ; Ahmed, A. ; Alam, N. (2004) Finite element model of efficient zig-zag theory for static analysis of hybrid piezoelectric beams Computational Mechanics, 34 (6). pp. 475-483. ISSN 0178-7675

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Official URL: https://link.springer.com/article/10.1007%2Fs00466...

Related URL: http://dx.doi.org/10.1007/s00466-004-0592-y

Abstract

Finite element model is presented for the analysis of hybrid piezoelectric beams under static electromechanical load, using the one-dimensional (1D) coupled zig-zag theory developed recently by the authors. Two noded elements are used with cubic Hermite interpolation for deflection and electric potentials at the sub-layers and with linear interpolation for axial displacement and shear rotation. The expressions for the variationally consistent stiffness matrix and load vector are derived and evaluated in closed form using exact integration. The formulation is validated by comparison with the analytical solution for simply-supported beam. The finite element model is free of shear locking. The present zig-zag finite element results for cantilever beams are compared with the 2D finite element results using ABAQUS to establish the accuracy of the zig-zag theory for these boundary conditions.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Finite Element Model; Zig-Zag Theory; Hybrid Beams; Statics; Piezoelectricity
ID Code:109817
Deposited On:31 Jan 2018 10:49
Last Modified:31 Jan 2018 10:49

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