A total secant flexibility-based formulation for frame elements with physical and geometrical nonlinearities

Valipour Goudarzi, H; Foster, S

A total secant flexibility-based formulation for frame elements with physical and geometrical nonlinearities

Valipour Goudarzi, H Foster, S

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Publisher:: Elsevier Inc
Publication Type:: Journal Article
Citation:: Finite Elements In Analysis And Design, 2010, 46 (3), pp. 288 - 297
Issue Date:: 2010-01

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Field	Value	Language
dc.contributor.author	Valipour Goudarzi, H	en_US
dc.contributor.author	Foster, S	en_US
dc.date.issued	2010-01	en_US
dc.identifier.citation	Finite Elements In Analysis And Design, 2010, 46 (3), pp. 288 - 297	en_US
dc.identifier.issn	0168-874X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/13577
dc.description.abstract	This paper presents the formulation for a novel flexibility-based 1D frame element that captures material and geometrical nonlinearities. Decomposing the total strain to elastic and inelastic components a secant solution strategy based on a direct iterative scheme is introduced and the corresponding solution strategy is demonstrated. Concerning geometrical nonlinearities, the strain and slope of the deformed element are assumed to be small; however the equilibrium equations are satisfied for the deformed element that takes account of PâÎ effects. Using Simpson integration scheme along with piecewise interpolation of the curvature, the geometry of the deformed element is consistently updated. The implementation of the formulation in conjunction with a nonlocal damage model for capturing the response of element with softening such as reinforced concrete beamâcolumns is outlined and the formulation accuracy and efficiency is verified by some numerical examples on reinforced concrete frames.	en_US
dc.publisher	Elsevier Inc	en_US
dc.relation.ispartof	Finite Elements In Analysis And Design	en_US
dc.relation.isbasedon	10.1016/j.finel.2009.11.002	en_US
dc.subject.classification	Design Practice & Management	en_US
dc.title	A total secant flexibility-based formulation for frame elements with physical and geometrical nonlinearities	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	46	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.issue	3	en_US
pubs.volume	46	en_US

Abstract:

This paper presents the formulation for a novel flexibility-based 1D frame element that captures material and geometrical nonlinearities. Decomposing the total strain to elastic and inelastic components a secant solution strategy based on a direct iterative scheme is introduced and the corresponding solution strategy is demonstrated. Concerning geometrical nonlinearities, the strain and slope of the deformed element are assumed to be small; however the equilibrium equations are satisfied for the deformed element that takes account of PâÎ effects. Using Simpson integration scheme along with piecewise interpolation of the curvature, the geometry of the deformed element is consistently updated. The implementation of the formulation in conjunction with a nonlocal damage model for capturing the response of element with softening such as reinforced concrete beamâcolumns is outlined and the formulation accuracy and efficiency is verified by some numerical examples on reinforced concrete frames.

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http://hdl.handle.net/10453/13577