文献类型：期刊文献

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

作者：Hu, N.[1,2]; Wang, H.H.[3]; Yan, B.[1]; Fukunaga, H.[2]; Roy Mahaptra, D.[4]; Gopalakrishnan, S.[4]

机构：[1]Tohoku Univ, Dept Aerosp Engn, Aoba Ku, Sendai, Miyagi 9808579, Japan;[2]Chongqing Univ, Dept Engn Mech, Chongqing 400044, Peoples R China;[3]E China Univ Sci & Technol, Sch Mech & Power Engn, Shanghai 200237, Peoples R China;[4]Indian Inst Sci, Dept Aerosp Engn, Bangalore 560012, Karnataka, India

年份：2007

卷号：70

期号：12

起止页码：1451

外文期刊名：INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

收录：;EI(收录号：20072510659864);WOS:【SCI-EXPANDED(收录号:WOS:000247227200004)】；

语种：英文

外文关键词：wave propagation; dispersion; Reissner-Mindlin plate; shear locking; PUFEM

摘要：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.