Computation of stress resultants in plate bending problems using higher-order triangular elements

Autor:	J. N. Reddy, Chien Ming Wang, Kok Keng Ang, Sai Sudha Ramesh
Rok vydání:	2008
Předmět:	business.industry Numerical analysis Geometry Structural engineering Bending of plates Bending Finite element method Physics::Fluid Dynamics Stress resultants Plate theory Boundary value problem business Civil and Structural Engineering Mathematics Interpolation
Zdroj:	Engineering Structures. 30:2687-2706
ISSN:	0141-0296
DOI:	10.1016/j.engstruct.2008.03.003
Popis:	This paper is concerned with the development of a higher-order triangular plate element based on the first-order shear deformation plate theory. The present study brings out the shortcomings of conventional lower-order finite element interpolation when applied for the bending analysis of plates with free edges. The stress resultants, especially the transverse shear forces and twisting moments, obtained using the lower-order displacement finite elements fail to satisfy the natural (or force) boundary conditions accurately. On the other hand, the plate element with higher-order interpolation of the field variables enables the accurate prediction of stress resultants for plates. The superior performance of the higher-order plate bending element is demonstrated through bending analyses of plates of various shapes and free edges and examining the distribution of the stress resultants and the satisfaction of the natural boundary conditions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::400bf68e4100b6d3af5cdff9d3f57dbb https://doi.org/10.1016/j.engstruct.2008.03.003 Zobrazit plný text záznamu Full Text from ScienceDirect