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Reliability Analysis of Shallow Foundations under Undrained Conditions Using Random Finite Element Limit Analysis and LRFD

dc.contributor.authorAntão, Armando N.
dc.contributor.authorGuerra, Nuno
dc.contributor.authorSilva, Mário Vicente da
dc.contributor.institutionCERIS - Polo NOVA
dc.contributor.institutionDEC - Departamento de Engenharia Civil
dc.contributor.pblSpringer Verlag
dc.date.accessioned2026-07-20T14:00:01Z
dc.date.available2026-07-20T14:00:01Z
dc.date.issued2026-05-19
dc.descriptionPublisher Copyright: © The Author(s) 2026.
dc.description.abstractThis paper investigates the probability of failure of shallow foundations under centered loading and in undrained conditions, designed with the Load and Resistance Factor Design (LRFD) method. The study uses Random Finite Element Limit Analysis (RFELA), accounting for the spatial variability of undrained shear strength. A recently developed RFELA framework is employed to efficiently evaluate bearing capacity. The method combines upper bound finite element limit analysis with random field theory. It generates representative trial collapse mechanisms and maps plastic dissipation across the spatial domain, allowing for the extrapolation of collapse loads to millions of random field realizations. This strategy allows sufficiently accurate estimation of failure probabilities at small additional computational cost. Several design scenarios are systematically analyzed, considering variability of the undrained shear strength, spatial correlation lengths, load ratios, and sets of partial factors. The study examines different approaches for determining characteristic soil properties and tested two alternative methods for estimating failure probabilities. The results show that proper local soil characterization for determining characteristic values of the undrained shear strength has a relevant impact on design reliability. Furthermore, the findings indicate that standard partial factors may lead to inconsistent probabilities of failure. A new set of partial factors is proposed, providing more consistent failure probabilities across different load ratios and soil variability.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent16
dc.format.extent1613777
dc.identifier.doi10.1007/s10706-026-03729-y
dc.identifier.issn0960-3182
dc.identifier.otherPURE: 163544104
dc.identifier.otherPURE UUID: 4bff3103-7855-49d2-a994-b3cd4a1ee42d
dc.identifier.otherORCID: /0000-0003-2835-2780/work/215117137
dc.identifier.otherScopus: 105039575717
dc.identifier.otherWOS: 001770883400004
dc.identifier.urihttp://hdl.handle.net/10362/204672
dc.identifier.urlhttps://www.scopus.com/pages/publications/105039575717
dc.identifier.urlhttps://www.webofscience.com/wos/woscc/full-record/WOS:001770883400004
dc.language.isound
dc.peerreviewedyes
dc.subjectLoad and resistance factor design method
dc.subjectProbability of failure
dc.subjectRandom finite element limit analysis (RFELA)
dc.subjectShallow foundations
dc.subjectSoil variability
dc.subjectUndrained behavior
dc.subjectArchitecture
dc.subjectGeotechnical Engineering and Engineering Geology
dc.subjectSoil Science
dc.subjectGeology
dc.titleReliability Analysis of Shallow Foundations under Undrained Conditions Using Random Finite Element Limit Analysis and LRFD
dc.typejournal article
degois.publication.firstPage1
degois.publication.lastPage16
degois.publication.titleGeotechnical and Geological Engineering
degois.publication.volume44
dspace.entity.typePublication
rcaap.rightsopenAccess

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