A smoothed finite element method for plate analysis

Nguyenxuan, H., Rabczuk, T., Bordas, S. and Debongnie, J. (2008) A smoothed finite element method for plate analysis. Computer Methods in Applied Mechanics and Engineering, 197(13-16), pp. 1184-1203. (doi: 10.1016/j.cma.2007.10.008)

Abstract

A quadrilateral element with smoothed curvatures for Mindlin–Reissner plates is proposed. The curvature at each point is obtained by a non-local approximation via a smoothing function. The bending stiffness matrix is calculated by a boundary integral along the boundaries of the smoothing elements (smoothing cells). Numerical results show that the proposed element is robust, computational inexpensive and simultaneously very accurate and free of locking, even for very thin plates. The most promising feature of our elements is their insensitivity to mesh distortion.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Bordas, Dr Stephane
• Authors: Nguyenxuan, H., Rabczuk, T., Bordas, S., and Debongnie, J.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Computer Methods in Applied Mechanics and Engineering
• ISSN: 0045-7825