Mathematical programming approach for uncertain linear elastic analysis of functionally graded porous structures with interval parameters

Wu, D; Liu, A; Huang, Y; Huang, Y; Pi, Y; Gao, W

Mathematical programming approach for uncertain linear elastic analysis of functionally graded porous structures with interval parameters

Wu, D

Liu, A Huang, Y Huang, Y Pi, Y Gao, W

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Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Composites Part B: Engineering, 2018, 152, pp. 282-291
Issue Date:: 2018-11-01

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Field	Value	Language
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Liu, A
dc.contributor.author	Huang, Y
dc.contributor.author	Huang, Y
dc.contributor.author	Pi, Y
dc.contributor.author	Gao, W
dc.date.accessioned	2022-09-03T04:04:20Z
dc.date.available	2022-09-03T04:04:20Z
dc.date.issued	2018-11-01
dc.identifier.citation	Composites Part B: Engineering, 2018, 152, pp. 282-291
dc.identifier.issn	1359-8368
dc.identifier.uri	http://hdl.handle.net/10453/161255
dc.description.abstract	This paper investigates the non-deterministic linear elastic problem of bar-type functionally graded porous (FGP) structures with uncertain-but-bounded system parameters. For achieving a robust uncertainty analysis framework, a non-stochastic structural analysis for FGP engineering structures, whose system inputs possess interval uncertainties, through the framework of Finite Element Method (FEM) is proposed. The Timoshenko beam theory is adopted to incorporate the shear effect, so a more generalized uncertain static analysis of FGP structures can be anticipated. Various uncertain system input parameters, for example, the Young's moduli, the dimensions of the cross-sections, the porosities, as well as the applied loads can be simultaneously incorporated within the proposed method. To demonstrate the capability of the proposed approach, two distinctive numerical examples have been thoroughly investigated. Additional numerical experiments have also been conducted to further explore various effects of uncertainties of different system inputs acting on the overall FGP structural responses.
dc.language	en
dc.publisher	Elsevier BV
dc.relation	http://purl.org/au-research/grants/arc/IH150100006
dc.relation.ispartof	Composites Part B: Engineering
dc.relation.isbasedon	10.1016/j.compositesb.2018.06.032
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	09 Engineering
dc.subject.classification	Materials
dc.title	Mathematical programming approach for uncertain linear elastic analysis of functionally graded porous structures with interval parameters
dc.type	Journal Article
utslib.citation.volume	152
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2022-09-03T04:04:19Z
pubs.publication-status	Published
pubs.volume	152

Abstract:

This paper investigates the non-deterministic linear elastic problem of bar-type functionally graded porous (FGP) structures with uncertain-but-bounded system parameters. For achieving a robust uncertainty analysis framework, a non-stochastic structural analysis for FGP engineering structures, whose system inputs possess interval uncertainties, through the framework of Finite Element Method (FEM) is proposed. The Timoshenko beam theory is adopted to incorporate the shear effect, so a more generalized uncertain static analysis of FGP structures can be anticipated. Various uncertain system input parameters, for example, the Young's moduli, the dimensions of the cross-sections, the porosities, as well as the applied loads can be simultaneously incorporated within the proposed method. To demonstrate the capability of the proposed approach, two distinctive numerical examples have been thoroughly investigated. Additional numerical experiments have also been conducted to further explore various effects of uncertainties of different system inputs acting on the overall FGP structural responses.

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http://hdl.handle.net/10453/161255