Nodal integration finite element techniques for analysis of piezoelectric solids

Nguyen-Van, Hieu and Le, Thong and Mai-Duy, Nam and Tran-Cong, Thanh (2008) Nodal integration finite element techniques for analysis of piezoelectric solids. In: 2008 International Conference on Computational Solid Mechanics (CSM2008), 27-30 Nov 2008, Ho Chi Minh City, Vietnam.

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Abstract

[Abstract]: A stabilized conforming nodal integration (SCNI) method is presented to formulate two efficient smoothing piezoelectric elements for static analysis of planar piezoelectric structures with quadrilateral mesh. The approximations of mechanical strains and electric potential fields are normalized by the smoothing constant function of the SCNI technique over each smoothing cell. This method allows field gradients to be directly computed from interpolating shape functions using boundary integrations along each edge of the smoothing element. The boundary integration will contribute to the preservation of high accuracy of the method even when elements are extremely distorted, for example, a concave quadrilateral. No mapping or coordinate transformation and derivatives of shape functions are necessary so that the original meshes with badly shaped elements can be used. The present elements do not introduce any additional degrees of freedom and are easy to implement into an existing finite element method (FEM). Numerical examples and comparative studies with analytic solutions are presented to demonstrate the simplicity, efficiency and accuracy of the elements.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions on web site.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 23 May 2009 06:53
Last Modified: 26 Aug 2014 04:54
Uncontrolled Keywords: Piezoelectric structures, nodal integration finite element method, electro-mechanics
Fields of Research (FOR2008): 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0913 Mechanical Engineering > 091306 Microelectromechanical Systems (MEMS)
URI: http://eprints.usq.edu.au/id/eprint/4840

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