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The partition of unity finite element method for elastic wave propagation in Reissner-Mindlin plates

Hu, N and Wang, HH and Yan, B and Fukunaga, H and Mahapatra, Roy D and Gopalakrishnan, S (2007) The partition of unity finite element method for elastic wave propagation in Reissner-Mindlin plates. In: International Journal for Numerical Methods in Engineering, 70 (12). pp. 1451-1479.

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This paper reports a numerical method for modelling the elastic wave propagation in plates. The method is based on the partition of unity approach, in which the approximate spectral properties of the infinite dimensional system are embedded within the space of a conventional finite element method through a consistent technique of waveform enrichment. The technique is general, such that it can be applied to the Lagrangian family of finite elements with specific waveform enrichment schemes, depending on the dominant modes of wave propagation in the physical system. A four-noded element for the Reissner-indlin plate is derived in this paper, which is free of shear locking. Such a locking-free property is achieved by removing the transverse displacement degrees of freedom from the element nodal variables and by recovering the same through a line integral and a weak constraint in the frequency domain. As a result, the frequency-dependent stiffness matrix and the mass matrix are obtained, which capture the higher frequency response with even coarse meshes, accurately. The steps involved in the numerical implementation of such element are discussed in details. Numerical studies on the performance of the proposed element are reported by considering a number of cases, which show very good accuracy and low computational cost. Copyright (C)006 John Wiley & Sons, Ltd.

Item Type: Journal Article
Publication: International Journal for Numerical Methods in Engineering
Publisher: John Wiley and Sons
Additional Information: Copyright of this article belongs to John Wiley and Sons.
Keywords: wave propagation • dispersion • Reissner-Mindlin plate • shear locking • PUFEM
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 10 Jun 2010 05:01
Last Modified: 19 Sep 2010 05:59
URI: http://eprints.iisc.ac.in/id/eprint/26884

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