A smoothed finite element method for plate analysis

作者:Nguyen Xuan H; Rabczuk T; Bordas Stephane*; Debongnie J F
来源:Computer Methods in Applied Mechanics and Engineering, 2008, 197(13-16): 1184-1203.
DOI:10.1016/j.cma.2007.10.008

摘要

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.

  • 出版日期2008