A meshless numerical method for optimised design of buried structures in elastic medium

Performance-based design is critical to examine how changes in design parameters influence the safety and stability of the examined structural systems, ensuring optimised performance under varying conditions. Traditional approaches such as finite element method, require careful domain meshing and me...

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Autores: Liravi, Hassan|||0000-0002-2890-5165, Fakhraei, Javad|||0000-0001-6380-9307, Kaewunruen, Sakdirat, Fu, Zhuojia, Ninic, Jelena
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/429271
Acceso en línea:https://hdl.handle.net/2117/429271
https://dx.doi.org/10.1016/j.compgeo.2025.107222
Access Level:acceso abierto
Palabra clave:Design sensitivity analysis
Meshless
Direct differentiation method
Fictitious eigenfrequencies
Elastodynamics
Optimisation
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
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spelling A meshless numerical method for optimised design of buried structures in elastic mediumLiravi, Hassan|||0000-0002-2890-5165Fakhraei, Javad|||0000-0001-6380-9307Kaewunruen, SakdiratFu, ZhuojiaNinic, JelenaDesign sensitivity analysisMeshlessDirect differentiation methodFictitious eigenfrequenciesElastodynamicsOptimisationÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructuresPerformance-based design is critical to examine how changes in design parameters influence the safety and stability of the examined structural systems, ensuring optimised performance under varying conditions. Traditional approaches such as finite element method, require careful domain meshing and mesh-sensitivity studies, which are often computationally expensive and, in some cases, mathematically challenging for certain types of problems. Meshless approaches provide efficient and accurate prediction models to address this problem effectively. In this paper, a two-dimensional singular boundary method combined with the method of fundamental solutions is formulated in conjunction with the direct differentiation method to perform design sensitivity-based optimisation of structures embedded in elastic medium under harmonic point loads. The proposed formulation is employed to overcome the non-uniqueness solution problem arising in the singular boundary method when dealing with exterior elastic problems. The accuracy and effectiveness of the proposed approach is assessed in the framework of two analytical examples: a cylindrical cavity subjected to pulsating pressure under Neumann boundary condition and a cavity with a five-cusped hypocycloid boundary under Dirichlet boundary condition. Additionally, the method is assessed in an application of a horseshoe-shaped tunnel embedded in full-space medium and subjected to Neumann boundary conditions. The results indicate that the proposed approach is both accurate and robust for performing sensitivity analysis on complex geometries in elastic media, particularly when compared to the classical singular boundary method. Furthermore, the application case study demonstrates that the method can be effectively used for optimising the shape of underground structures to minimise the impact of geometry on deformations of the surrounding soil. This methodology offers several advantages: it is truly meshless, integration-free, mathematically simple, and easy to implement, providing a valuable tool for decision-making in the design of buried structures within elastic media.This project has received funding from the UKRI Horizon Europe Underwriting – EPSRC for guaranteeing the Marie Sklodowska-Curie grant agreement Number EP/Z001129/1 “META-NOVIB: Digital twin for ground-borne railway-induced NOise and VIBration control with METAmaterials in underground tunnels”. This support is gratefully acknowledged. Additionally, the first author would like to express deep gratitude for the support provided by the Laboratori d’Enginyeria Acústica i Mecànica (LEAM) of the Universitat Politècnica de Catalunya (UPC) .Peer ReviewedElsevier20252025-07-0120252025-05-12journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/429271https://dx.doi.org/10.1016/j.compgeo.2025.107222reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4292712026-05-27T15:37:01Z
dc.title.none.fl_str_mv A meshless numerical method for optimised design of buried structures in elastic medium
title A meshless numerical method for optimised design of buried structures in elastic medium
spellingShingle A meshless numerical method for optimised design of buried structures in elastic medium
Liravi, Hassan|||0000-0002-2890-5165
Design sensitivity analysis
Meshless
Direct differentiation method
Fictitious eigenfrequencies
Elastodynamics
Optimisation
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
title_short A meshless numerical method for optimised design of buried structures in elastic medium
title_full A meshless numerical method for optimised design of buried structures in elastic medium
title_fullStr A meshless numerical method for optimised design of buried structures in elastic medium
title_full_unstemmed A meshless numerical method for optimised design of buried structures in elastic medium
title_sort A meshless numerical method for optimised design of buried structures in elastic medium
dc.creator.none.fl_str_mv Liravi, Hassan|||0000-0002-2890-5165
Fakhraei, Javad|||0000-0001-6380-9307
Kaewunruen, Sakdirat
Fu, Zhuojia
Ninic, Jelena
author Liravi, Hassan|||0000-0002-2890-5165
author_facet Liravi, Hassan|||0000-0002-2890-5165
Fakhraei, Javad|||0000-0001-6380-9307
Kaewunruen, Sakdirat
Fu, Zhuojia
Ninic, Jelena
author_role author
author2 Fakhraei, Javad|||0000-0001-6380-9307
Kaewunruen, Sakdirat
Fu, Zhuojia
Ninic, Jelena
author2_role author
author
author
author
dc.subject.none.fl_str_mv Design sensitivity analysis
Meshless
Direct differentiation method
Fictitious eigenfrequencies
Elastodynamics
Optimisation
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
topic Design sensitivity analysis
Meshless
Direct differentiation method
Fictitious eigenfrequencies
Elastodynamics
Optimisation
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
description Performance-based design is critical to examine how changes in design parameters influence the safety and stability of the examined structural systems, ensuring optimised performance under varying conditions. Traditional approaches such as finite element method, require careful domain meshing and mesh-sensitivity studies, which are often computationally expensive and, in some cases, mathematically challenging for certain types of problems. Meshless approaches provide efficient and accurate prediction models to address this problem effectively. In this paper, a two-dimensional singular boundary method combined with the method of fundamental solutions is formulated in conjunction with the direct differentiation method to perform design sensitivity-based optimisation of structures embedded in elastic medium under harmonic point loads. The proposed formulation is employed to overcome the non-uniqueness solution problem arising in the singular boundary method when dealing with exterior elastic problems. The accuracy and effectiveness of the proposed approach is assessed in the framework of two analytical examples: a cylindrical cavity subjected to pulsating pressure under Neumann boundary condition and a cavity with a five-cusped hypocycloid boundary under Dirichlet boundary condition. Additionally, the method is assessed in an application of a horseshoe-shaped tunnel embedded in full-space medium and subjected to Neumann boundary conditions. The results indicate that the proposed approach is both accurate and robust for performing sensitivity analysis on complex geometries in elastic media, particularly when compared to the classical singular boundary method. Furthermore, the application case study demonstrates that the method can be effectively used for optimising the shape of underground structures to minimise the impact of geometry on deformations of the surrounding soil. This methodology offers several advantages: it is truly meshless, integration-free, mathematically simple, and easy to implement, providing a valuable tool for decision-making in the design of buried structures within elastic media.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-07-01
2025
2025-05-12
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/429271
https://dx.doi.org/10.1016/j.compgeo.2025.107222
url https://hdl.handle.net/2117/429271
https://dx.doi.org/10.1016/j.compgeo.2025.107222
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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