Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates

K. M. Liew; X. L. Chen; J. N. Reddy

doi:10.1016/j.cma.2003.10.002

Author(s)

K. M. Liew
X. L. Chen
J. N. Reddy

Detail(s)

Original language	English
Pages (from-to)	205-224
Journal / Publication	Computer Methods in Applied Mechanics and Engineering
Volume	193
Issue number	3-5
Publication status	Published - 23 Jan 2004
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.cma.2003.10.002 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0347300455&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(01f13a13-6dbc-4146-a8f4-5ed7abac26f3).html

Abstract

A mesh-free radial basis function (RBF) method is employed for the buckling analysis of non-uniformly loaded thick plates. The field variables are approximated using a set of scattered nodes in the problem domain. The number of nodes and nodal distribution in the problem domain can be easily changed without a complex procedure for desired computational accuracy. The shape functions possess the 'partition of unity' properties. Based on the two-dimensional (2D) plane stress problem, a variational form of the static system of equations is formulated in terms of displacements, and is discretised. The initial (i.e., pre-buckling) stresses are obtained by solving the discrete system of equations. Based on the first-order shear deformation plate theory, a variational form of the plate problem with previously obtained initial stresses is established and discretised as the eigenvalue equation. The buckling loads of circular, trapezoidal and skew plates are presented. The present results have good convergence and are in good agreement with the finite element solutions. The present mesh-free radial basis function method is effective for the buckling analysis of non-uniformly loaded plates. © 2003 Elsevier B.V. All rights reserved.

Research Area(s)

Buckling, Mesh-free method, Non-uniform load, Radial basis function, Shear deformable plate

Citation Format(s)

[ RIS ] [ BibTeX ]

Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates. / Liew, K. M.; Chen, X. L.; Reddy, J. N.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 193, No. 3-5, 23.01.2004, p. 205-224.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Liew, KM, Chen, XL & Reddy, JN 2004, 'Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates', Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 3-5, pp. 205-224. https://doi.org/10.1016/j.cma.2003.10.002

Liew, K. M., Chen, X. L., & Reddy, J. N. (2004). Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates. Computer Methods in Applied Mechanics and Engineering, 193(3-5), 205-224. https://doi.org/10.1016/j.cma.2003.10.002

Liew KM, Chen XL, Reddy JN. Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates. Computer Methods in Applied Mechanics and Engineering. 2004 Jan 23;193(3-5):205-224. doi: 10.1016/j.cma.2003.10.002

Liew, K. M. ; Chen, X. L. ; Reddy, J. N. / Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates. In: Computer Methods in Applied Mechanics and Engineering. 2004 ; Vol. 193, No. 3-5. pp. 205-224.