Improving the computational efficiency in finite element analysis of shells with uncertain properties

Charmpis, DC; Papadrakakis, M

dc.contributor.author	Charmpis, DC	en
dc.contributor.author	Papadrakakis, M	en
dc.date.accessioned	2014-03-01T01:22:30Z
dc.date.available	2014-03-01T01:22:30Z
dc.date.issued	2005	en
dc.identifier.issn	0045-7825	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16597
dc.subject	Bivariate interpolation	en
dc.subject	Conjugate gradient method	en
dc.subject	Monte Carlo simulation	en
dc.subject	Parallel computing	en
dc.subject	Preconditioning	en
dc.subject	Probabilistic	en
dc.subject	Random	en
dc.subject	Stochastic	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Computer simulation	en
dc.subject.other	Finite element method	en
dc.subject.other	Interpolation	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Random processes	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Structural design	en
dc.subject.other	Computational efficiency	en
dc.subject.other	Elastic tests	en
dc.subject.other	Finite element equations	en
dc.subject.other	Processing time	en
dc.subject.other	Shells (structures)	en
dc.subject.other	finite element analysis	en
dc.subject.other	mechanical engineering	en
dc.subject.other	parallel computing	en
dc.title	Improving the computational efficiency in finite element analysis of shells with uncertain properties	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.cma.2003.12.075	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.cma.2003.12.075	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	This work is concerned with improving the computational efficiency of the most time consuming tasks performed in Monte Carlo simulation-based Finite Element Analysis (FEA) of shell structures with uncertain properties. For this purpose, stochastic field values are generated on a coarse mesh and then interpolated onto the fine mesh used for the standard FEA computations; the cost-effective TRIC shell element is used to ensure the formation of stiffness matrices in reasonable processing times; the solution of finite element equations is efficiently handled with hybrid schemes combining both iterative and direct solution concepts; additional computational gains are achieved with the use of parallel computing through the straightforward partitioning of the overall Monte Carlo simulation process. The adoption of such advanced computational approaches allows simulation-based probabilistic or stochastic FEA of shells to be performed in affordable computing times and therefore become more tractable in structural engineering practice. The computational procedures described in this work are evaluated on a cluster of 16 networked PCs using three linear elastic test problems with uncertain material and/or geometric parameters: (a) the Scordelis-Lo shell, (b) a pinched cylinder and (c) a 3D steel frame discretized with shell elements. (C) 2004 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE SA	en
heal.journalName	Computer Methods in Applied Mechanics and Engineering	en
dc.identifier.doi	10.1016/j.cma.2003.12.075	en
dc.identifier.isi	ISI:000227483200009	en
dc.identifier.volume	194	en
dc.identifier.issue	12-16	en
dc.identifier.spage	1447	en
dc.identifier.epage	1478	en