Plastic buckling analysis of thick plates using p-Ritz method

Wang, C. M. and Aung, T. M. (2007) Plastic buckling analysis of thick plates using p-Ritz method. International Journal of Solids and Structures, 44 18-19: 6239-6255. doi:10.1016/j.ijsolstr.2007.02.026


Author Wang, C. M.
Aung, T. M.
Title Plastic buckling analysis of thick plates using p-Ritz method
Journal name International Journal of Solids and Structures   Check publisher's open access policy
ISSN 0020-7683
1879-2146
Publication date 2007-09-01
Sub-type Article (original research)
DOI 10.1016/j.ijsolstr.2007.02.026
Open Access Status Not yet assessed
Volume 44
Issue 18-19
Start page 6239
End page 6255
Total pages 17
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Language eng
Abstract This paper is concerned with the application of the p-Ritz method for the plastic buckling analysis of thick plates. In order to allow for the effect of transverse shear deformation in thick plates, the Mindlin plate theory is adopted. The plastic buckling behaviour of the plate is captured by using the incremental and deformation theories of plasticity. The material property of the plate is assumed to obey the Ramberg-Osgood stress-strain relation. The p-Ritz method will be applied to obtain the governing eigenvalue equation for the plastic buckling analysis of uniformly stressed plates with edges defined by polynomial functions. In the p-Ritz method, the displacement functions of the plate are approximately represented by the product of mathematically complete two-dimensional polynomial functions and boundary equations raised to appropriate powers that ensure the satisfaction of the geometric boundary conditions. The validity, convergence and accuracy of the method were demonstrated for various plate shapes such as rectangular, triangular and elliptical shapes. A parametric study was also undertaken to study the plastic buckling behaviour and the effect of transverse shear deformation.
Keyword Mindlin plate theory
Plastic buckling
Ritz method
Thick plates
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
Versions
Version Filter Type
Citation counts: Scopus Citation Count Cited 18 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Mon, 16 Jan 2017, 21:39:28 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)