TY - JOUR
T1 - A unified polygonal locking-free thin/thick smoothed plate element
AU - Katili, Irwan
AU - Maknun, Imam Jauhari
AU - Katili, Andi Makarim
AU - Bordas, Stéphane P.A.
AU - Natarajan, Sundararajan
N1 - Publisher Copyright:
© 2019
PY - 2019/7/1
Y1 - 2019/7/1
N2 - 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.
AB - 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.
KW - Cell based smoothed finite element method
KW - Discrete Kirchhoff Mindlin theory
KW - Kirchhoff constraint
KW - Numerical integration
KW - Shear locking
UR - http://www.scopus.com/inward/record.url?scp=85063378542&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2019.03.020
DO - 10.1016/j.compstruct.2019.03.020
M3 - Article
AN - SCOPUS:85063378542
SN - 0263-8223
VL - 219
SP - 147
EP - 157
JO - Composite Structures
JF - Composite Structures
ER -