A node-based element for analysis of planar piezoelectric structures

Nguyen-Van, Hieu and Mai-Duy, Nam and Tran-Cong, Thanh (2008) A node-based element for analysis of planar piezoelectric structures. CMES: Computer Modeling in Engineering and Sciences, 36 (1). pp. 65-95. ISSN 1526-1492

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A novel node-based smoothing element for triangular and quadrilateral meshes is presented for static analysis of planar piezoelectric structures. In contrast to the smoothed finite element formulation that was based on sub-cells within an original quadrilateral element, this new method transforms a general original finite element mesh into a mesh of new smoothing cells individually associated with a single node which is termed as node-based elements. The displacement fields of the element are approximated by the linear interpolation functions of the original mesh while the approximations of mechanical strains and electric potential fields are normalized using the stabilized conforming nodal integration technique over each node-based element. This technique allows field gradients to be directly computed from interpolating shape functions by using boundary integrations along each edge of the node-based element. Furthermore, the present elements do not require any additional degrees of freedom and are insensitive to bad element shapes in the original mesh. Several numerical examples and comparative studies with other numerical results as well as analytic solutions in the literature are carried out in order to demonstrate the simplicity, efficiency and reliability of the novel elements.

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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 05:51
Last Modified: 02 Jul 2013 23:13
Uncontrolled Keywords: piezoelectric structures; node-based smoothed finite element; adaptive material; electro-mechanics
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0913 Mechanical Engineering > 091306 Microelectromechanical Systems (MEMS)
09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.3970/cmes.2008.036.065
URI: http://eprints.usq.edu.au/id/eprint/4857

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