A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures

Nguyen-Van, Hieu and Mai-Duy, Nam and Tran-Cong, Thanh (2008) A smoothed four-node piezoelectric element for analysis of two-dimensional smart structures. CMES: Computer Modeling in Engineering and Sciences, 23 (3). pp. 209-222. ISSN 1526-1492

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This paper reports a study of linear elastic analysis of two-dimensional piezoelectric structures using a smoothed four-node piezoelectric element. The element is built by incorporating the strain smoothing method of mesh-free conforming nodal integration into the standard four-node quadrilateral piezoelectric finite element. The approximations of mechanical strains and electric potential fields are normalized using a constant smoothing function. This allows the field gradients to be directly computed from shape functions. No mapping or coordinate transformation is necessary so that the element can be used in arbitrary shapes. Through several examples, the simplicity, efficiency and reliability of the element are demonstrated. Numerical results and comparative studies with
other existing solutions in the literature suggest that the present element is robust, computationally inexpensive and easy to implement.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 21 May 2009 06:06
Last Modified: 02 Jul 2013 23:08
Uncontrolled Keywords: piezoelectric structures; smoothed finite element method; adaptive material; electro-mechanical problems
Fields of Research : 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.3970/cmes.2008.023.209
URI: http://eprints.usq.edu.au/id/eprint/4566

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