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A smoothed finite element method for plate analysis

Authors
Journal
Computer Methods in Applied Mechanics and Engineering
0045-7825
Publisher
Elsevier
Publication Date
Volume
197
Identifiers
DOI: 10.1016/j.cma.2007.10.008
Keywords
  • Plates
  • Curvature Smoothing
  • Smooth Finite Element Method
  • Sfem
  • Locking-Free
  • Distorted Meshes
Disciplines
  • Computer Science

Abstract

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.

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