Cell based smoothed finite element method; Discrete Kirchhoff Mindlin theory; Numerical integration; Kirchhoff constraint; Shear locking
Abstract :
[en] A novel cell-based smoothed finite element method is proposed for thin and thick plates based on Reissner-Mindlin plate theory and assumed shear strain fields. The domain is discretized with arbitrary polygons and on each side of the polygonal element, discrete shear constraints are considered to relate the kinematical and the independent shear strains. The plate is made of functionally graded material with effective properties computed using the rule of mixtures. The influence of various parameters, viz., the plate aspect ratio and the material gradient index on the static bending response and the first fundamental frequency is numerically studied. It is seen that the proposed element: (a) has proper rank; (b) does not require derivatives of shape functions and hence no isoparametric mapping required; (c) independent of shape and size of elements and (d) is free from shear locking.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Katili, Irwan; Universitas Indonesia, Depok 16424, Indonesia > Civil Engineering Department
Maknun, Imam Jauhari; Universitas Indonesia, Depok 16424, Indonesia > Civil Engineering Department
Katili, Andi Makarim; Universitas Indonesia, Depok 16424, Indonesia > Civil Engineering Department
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; School of Engineering, Cardiff University, CF24 3AA Wales, UK ; Institute of Research and Development, Duy Tan University, K7/25 Quang Trung, Danang, Viet Nam
Natarajan, Sundararajan; Indian Institute of Technology Madras, Chennai 600036, India > Department of Mechanical Engineering
External co-authors :
yes
Language :
English
Title :
A unified polygonal locking-free thin/thick smoothed plate element
