Finite element lower bound "yield line" analysis of isotropic slabs using rotation-free elements

Files in This Item:
File Description SizeFormat 
SA01.pdf1.92 MBAdobe PDFDownload
Title: Finite element lower bound "yield line" analysis of isotropic slabs using rotation-free elements
Authors: Salam Al-Sabah, Abd
Falter, Holger
Permanent link:
Date: Aug-2013
Abstract: A new lower bound finite element method for slab analysis is presented as a practical substitute to full, non-linear, finite element methods that require expert knowledge and long running times. The method provides a general, safe and efficient lower bound solution for the analysis of reinforced concrete slabs up to failure. As it is finite element based, the method is more general than the yield line and strip methods currently in use. Furthermore, its lower bound nature makes it safer than the yield line method. The method uses a rotation-free, plate finite element modified to allow plastic “yield lines” to pass through at any direction. Yield lines are generated at the principal moment directions when the plastic moment capacity is attained. The material is assumed to be elastic perfectly-plastic. Following the general spirit of yield line analysis, the effects of a yield line are projected to the sides of the triangular element and then used to calculate the bending curvatures. The method’s efficiency is achieved by using rotation-free plate elements with a single degree of freedom per node and by the incremental solution that does not require iterations. The method’s accuracy and convergence are assessed by comparing standard cases with known results. In all cases, results were close to the theoretical values with difference of less than 1%. It is also used to solve a practical sized flat slab problem in order to demonstrate the method’s efficiency, convergence, and speed.
Type of material: Journal Article
Publisher: Elsevier
Copyright (published version): 2013 Elsevier
Keywords: Reinforced concreteFinite elementYield line analysisRotation-free elementIsotropic slab
DOI: 10.1016/j.engstruct.2013.03.005
Language: en
Status of Item: Peer reviewed
Appears in Collections:Earth Institute Research Collection
Civil Engineering Research Collection

Show full item record

Citations 50

Last Week
Last month
checked on Aug 17, 2018

Page view(s) 20

checked on May 25, 2018

Download(s) 1

checked on May 25, 2018

Google ScholarTM



This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.