Curvature smoothing; Distorted meshes; Locking-free; Plates; SFEM; Smooth finite element method; Approximation theory; Bending (deformation); Boundary integral equations; Computer simulation; Curve fitting; Finite element method; Stiffness matrix; Non-local approximation; Plate analysis; Smoothed finite element method; Plates (structural components)
Abstract :
[en] 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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Nguyen-Xuan, H.; Division of Computational Mechanics, Department of Mathematics and Informatics, University of Natural Sciences, 227 Nguyen Van Cu, Viet Nam
Rabczuk, T.; Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch, 8140, New Zealand
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Debongnie, J. F.; Division of Manufacturing, University of Liège, Bat. B52/3 Chemin des Chevreuils 1, B-4000 Liège 1, Belgium
External co-authors :
yes
Language :
English
Title :
A smoothed finite element method for plate analysis
Publication date :
2008
Journal title :
Computer Methods in Applied Mechanics and Engineering
