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Convergence properties of materially and geometrically non-linear finite-element spatial beam analysis
Zupan, Dejan (Author), Saje, Miran (Author)

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Abstract
The way the non-linear constitutive equations in the spatial beam formulations are solved, influences the rate of convergence and the computational cost. Three different approaches are studied: (i) the direct global approach, where the constitutive equations are taken to be the iterative part of the global governing equations, (ii) the local (or indirect global) approach, where the constitutive equations are solved separately in each step of the global iteration, and (iii) the partly reduced approach, which is the combination of (i) and (ii). The approaches are compared with regard to the number of global iterations and the total number of floating point operations. The direct global approach is found to be the best choice. (C) 2008 Elsevier B. V. All rights reserved.

Language:English
Keywords:non-linear beam theory, non-linear material, reiforced concrete, stress field integration, Newton's iteration, rate of convergence
Tipology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Year:2008
Publisher:Elsevier
Number of pages:Str. 60-69
Numbering:Letn. 45, Št. 1
UDC:624.01:519.6
ISSN on article:0168-874X
DOI:10.1016/j.finel.2008.07.013 Link is opened in a new window
COBISS.SI-ID:4413793 Link is opened in a new window
Views:1302
Downloads:582
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Record is a part of a journal

Title:Finite elements in analysis and design
Shortened title:Finite elem. anal. des.
Publisher:North-Holland
ISSN:0168-874X
COBISS.SI-ID:579602 This link opens in a new window

Secondary language

Language:English
Keywords:gradbeništvo, nelinearne teorije, gradbena dinamika, numerične analize, končni elementi, gradiva

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