Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00466-008-0242-x
Title: Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method
Authors: Zhao, X. 
Liu, G.R. 
Dai, K.Y. 
Zhong, Z.H.
Li, G.Y.
Han, X.
Keywords: Meshless method
Nodal integration
Nonlinear analysis
Radial basisfunction
Shell
Issue Date: Apr-2008
Source: Zhao, X., Liu, G.R., Dai, K.Y., Zhong, Z.H., Li, G.Y., Han, X. (2008-04). Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method. Computational Mechanics 42 (1) : 133-144. ScholarBank@NUS Repository. https://doi.org/10.1007/s00466-008-0242-x
Abstract: In this paper, the linearly conforming radial point interpolation method is extended for geometric nonlinear analysis of plates and cylindrical shells. The Sander's nonlinear shell theory is utilized and the arc-length technique is implemented in conjunction with the modified Newton-Raphson method to solve the nonlinear equilibrium equations. The radial and polynomial basis functions are employed to construct the shape functions with Delta function property using a set of arbitrarily distributed nodes in local support domains. Besides the conventional nodal integration, a stabilized conforming nodal integration is applied to restore the conformability and to improve the accuracy of solutions. Small rotations and deformations, as well as finite strains, are assumed for the present formulation. Comparisons of present solutions are made with the results reported in the literature and good agreements are obtained. The numerical examples have demonstrated that the present approach, combined with arc-length method, is quite effective in tracing the load-deflection paths of snap-through and snap-back phenomena in shell problems. © 2008 Springer-Verlag.
Source Title: Computational Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/51428
ISSN: 01787675
DOI: 10.1007/s00466-008-0242-x
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

20
checked on Dec 6, 2017

WEB OF SCIENCETM
Citations

20
checked on Nov 22, 2017

Page view(s)

38
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.