Spectral stochastic isogeometric analysis for static response of FGM plate with material uncertainty

Li, K; Wu, D; Gao, W

Spectral stochastic isogeometric analysis for static response of FGM plate with material uncertainty

Li, K Wu, D

Gao, W

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Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Thin-Walled Structures, 2018, 132, pp. 504-521
Issue Date:: 2018-11-01

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Field	Value	Language
dc.contributor.author	Li, K
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Gao, W
dc.date.accessioned	2022-09-03T02:51:49Z
dc.date.available	2022-09-03T02:51:49Z
dc.date.issued	2018-11-01
dc.identifier.citation	Thin-Walled Structures, 2018, 132, pp. 504-521
dc.identifier.issn	0263-8231
dc.identifier.uri	http://hdl.handle.net/10453/161245
dc.description.abstract	In this study, the nondeterministic structural responses of functionally graded material (FGM) plates under static loads with uncertain material property is investigated. The considered spatially dependent uncertainties are modelled as random fields with Gaussian distribution. A novel spectral stochastic isogeometric analysis (SSIGA) framework is proposed for such uncertainty quantification through the first-order shear deformation theory. Within the SSIGA framework, the non-uniform rational B-spline (NURBS) is adopted for both the geometry modelling of the random fields of the uncertain material properties and random field discretization through the Karhunen-Loève (K-L) expansion. Such new feature provides an effective and practically applicable random field modelling technique, especially for uncertain parameters over complex physical domains. The polynomial chaos expansion (PCE) is employed for estimating the statistical characteristics (e.g., mean and standard deviation) of any concerned structural responses (e.g., displacement and stress). By further implementing various statistical inference techniques, the probability density functions (PDF) and cumulative distribution functions (CDF) of structural responses can be established to determine both serviceability and strength limits of FGM plate. Two numerical examples are thoroughly investigated to illustrate the applicability, effectiveness and efficiency of the proposed computational approach.
dc.language	en
dc.publisher	Elsevier BV
dc.relation	http://purl.org/au-research/grants/arc/IH150100006
dc.relation.ispartof	Thin-Walled Structures
dc.relation.isbasedon	10.1016/j.tws.2018.08.028
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0901 Aerospace Engineering, 0905 Civil Engineering, 0913 Mechanical Engineering
dc.subject.classification	Civil Engineering
dc.title	Spectral stochastic isogeometric analysis for static response of FGM plate with material uncertainty
dc.type	Journal Article
utslib.citation.volume	132
utslib.for	0901 Aerospace Engineering
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical 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	2022-09-03T02:51:43Z
pubs.publication-status	Published
pubs.volume	132

Abstract:

In this study, the nondeterministic structural responses of functionally graded material (FGM) plates under static loads with uncertain material property is investigated. The considered spatially dependent uncertainties are modelled as random fields with Gaussian distribution. A novel spectral stochastic isogeometric analysis (SSIGA) framework is proposed for such uncertainty quantification through the first-order shear deformation theory. Within the SSIGA framework, the non-uniform rational B-spline (NURBS) is adopted for both the geometry modelling of the random fields of the uncertain material properties and random field discretization through the Karhunen-Loève (K-L) expansion. Such new feature provides an effective and practically applicable random field modelling technique, especially for uncertain parameters over complex physical domains. The polynomial chaos expansion (PCE) is employed for estimating the statistical characteristics (e.g., mean and standard deviation) of any concerned structural responses (e.g., displacement and stress). By further implementing various statistical inference techniques, the probability density functions (PDF) and cumulative distribution functions (CDF) of structural responses can be established to determine both serviceability and strength limits of FGM plate. Two numerical examples are thoroughly investigated to illustrate the applicability, effectiveness and efficiency of the proposed computational approach.

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http://hdl.handle.net/10453/161245