Implementation and Research of Finite Element Method for Nonlocal Elasticity Theory Problems in Julia Programming Language

The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional nonlocal elasticity theory problems. The article discusses the main features of the nonlocal theory and the implementation algorithm, taking int...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:2023 Applied Mathematics, Computational Science and Mechanics: Current Problems (AMCSM) S. 1 - 5
Hauptverfasser: Kuvyrkin, G.N., Savelyeva, I.Y., Sokolov, A.A., Cherednichenko, A.V., Novozhilova, O.V.
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.07.2023
Schlagworte:
Computer languages
Elasticity
equilibrium equation
finite element method
Julia
nonlocal elasticity
Programming
Scientific computing
Software algorithms
Software packages
Three-dimensional displays
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional nonlocal elasticity theory problems. The article discusses the main features of the nonlocal theory and the implementation algorithm, taking into account the Julia language features. A number of calculations and comparisons of classical and nonlocal theories are carried out on the example of the problem of applying a load to the rigidly fixed beam end.
AbstractList The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional nonlocal elasticity theory problems. The article discusses the main features of the nonlocal theory and the implementation algorithm, taking into account the Julia language features. A number of calculations and comparisons of classical and nonlocal theories are carried out on the example of the problem of applying a load to the rigidly fixed beam end.
Author Cherednichenko, A.V.
Kuvyrkin, G.N.
Novozhilova, O.V.
Sokolov, A.A.
Savelyeva, I.Y.
Author_xml – sequence: 1
  givenname: G.N.
  surname: Kuvyrkin
  fullname: Kuvyrkin, G.N.
  email: fn2@bmstu.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
– sequence: 2
  givenname: I.Y.
  surname: Savelyeva
  fullname: Savelyeva, I.Y.
  email: inga.savelyeva@bmstu.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
– sequence: 3
  givenname: A.A.
  surname: Sokolov
  fullname: Sokolov, A.A.
  email: Zokolof@yandex.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
– sequence: 4
  givenname: A.V.
  surname: Cherednichenko
  fullname: Cherednichenko, A.V.
  email: alexvche@bmstu.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
– sequence: 5
  givenname: O.V.
  surname: Novozhilova
  fullname: Novozhilova, O.V.
  email: Zokolof@yandex.ru
  organization: Applied Mathematics, Bauman Moscow State Technical University,Moscow,Russian Federation
BookMark eNo1kE9PAjEUxGuiB0W-gYf3BcD-2dL2SAgoBtQod_J2-3ZpstuS7nLAT68GPU0y85s5zB27jikSYyD4VAjuHufbxedWOyvdVHKppoJrqQ03V2zsjLNKc1VYbWa37GvdHVvqKA44hBQBo4cP6glzdYBUwyrEMBAsLwxsaTgkD3XK8JpimypsfzLsh1CF4Qy7A6V8hvecyp9CDyHCy6kN-Os0GbsuxAY2GJsTNnTPbmpsexr_6YjtVsvd4nmyeXtaL-abSSicmBgslJaOEAV5L22NVJKvPLcCjbdcF0JqMoLIkPBYk3IFLy3SjLwoRa1G7OEyG4hof8yhw3ze_z-ivgGNEl69
ContentType Conference Proceeding
DBID 6IE
6IL
CBEJK
RIE
RIL
DOI 10.1109/AMCSM59829.2023.10525707
DatabaseName IEEE Electronic Library (IEL) Conference Proceedings
IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume
IEEE Xplore All Conference Proceedings
IEEE Xplore
IEEE Proceedings Order Plans (POP All) 1998-Present
DatabaseTitleList
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
EISBN 9798350348576
EndPage 5
ExternalDocumentID 10525707
Genre orig-research
GroupedDBID 6IE
6IL
CBEJK
RIE
RIL
ID FETCH-LOGICAL-i491-7a43529eaa1edd28faebedcd081a7d8054125e71ee7e1dafe3940b8ae6ed1b1f3
IEDL.DBID RIE
IngestDate Wed May 29 05:43:46 EDT 2024
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-i491-7a43529eaa1edd28faebedcd081a7d8054125e71ee7e1dafe3940b8ae6ed1b1f3
PageCount 5
ParticipantIDs ieee_primary_10525707
PublicationCentury 2000
PublicationDate 2023-July-1
PublicationDateYYYYMMDD 2023-07-01
PublicationDate_xml – month: 07
  year: 2023
  text: 2023-July-1
  day: 01
PublicationDecade 2020
PublicationTitle 2023 Applied Mathematics, Computational Science and Mechanics: Current Problems (AMCSM)
PublicationTitleAbbrev AMCSM
PublicationYear 2023
Publisher IEEE
Publisher_xml – name: IEEE
Score 1.8366605
Snippet The article proposes an implementation option for a finite element software package written in the Julia programming language that solves three-dimensional...
SourceID ieee
SourceType Publisher
StartPage 1
SubjectTerms Computer languages
Elasticity
equilibrium equation
finite element method
Julia
nonlocal elasticity
Programming
Scientific computing
Software algorithms
Software packages
Three-dimensional displays
Title Implementation and Research of Finite Element Method for Nonlocal Elasticity Theory Problems in Julia Programming Language
URI https://ieeexplore.ieee.org/document/10525707
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwELVoxcAEiCK-5YHVJV-N4xFVrRhoVYkO3apLfJEy1EH9YODXc-ckIAYGtsixddKdonty7r0nxKMxeapzsKq0NlIJloECa3IFCZ2gls2SLN5sQs_n2WplFi1Z3XNhENEPn-GQH_2_fFsXB74qoy_cm67pnuhpnTZkrW46JzBPz7Px24wF6ZiAEsXDbvsv4xTfN6an_4x4JgY_DDy5-O4t5-II3YX49FK-m5Yt5CQ4K7vJOVmXcloxgJSTZo-ceXNoSahUzmvnmxa9AxZmJugtG1Y-R2FHmZ2snGSyNPAKj2xtKLB8ba8zB2I5nSzHL6r1TlBVYkKlgWBQZBAgRCpCVgKl3haWAABomxFOI2CDOkTUGFookQ3S8wwwRRvmYRlfir6rHV4JGQFLxI3QJEWawEiDiZMyRoJmdCLA4FoMOG_r90YdY92l7OaP9VtxwtVpRl7vRH-_PeC9OC4-9tVu--Br-gXBFqdW
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1NS8NAEF20CnpSseK3e_Camq92s0cpLRWbULCH3sokO4Ecmkg_PPjrndkkigcP3sImw8AOyzw2894T4lHrdKBSME5ujO-EmLsOGJ06EFIEtWyWZLFmEypJosVCzxqyuuXCIKIdPsMeP9p_-abKdnxVRifcmq6pfXHA1lkNXaudz3H103M8fItZko4pKH7QawN-WafYzjE--WfOU9H94eDJ2Xd3ORN7WJ6LTyvmu2r4QqWE0sh2dk5WuRwXDCHlqP5GxtYeWhIulUlV2rZF74ClmQl8y5qXz1nYU2Yji1IyXRp4hYe2VpRYTpsLza6Yj0fz4cRp3BOcItSeo4CAkK8RwEMqQ5QDbb7JDEEAUCYipEbQBpWHqNAzkCNbpKcR4ACNl3p5cCE6ZVXipZA-sEhcH3WYDULoK9BBmAdI4IwiXHSvRJf3bfle62Ms2y27_mP9QRxN5vF0OX1JXm_EMVUqZHafp25FZ7ve4Z04zD62xWZ9b-v7BaO2qqI
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=proceeding&rft.title=2023+Applied+Mathematics%2C+Computational+Science+and+Mechanics%3A+Current+Problems+%28AMCSM%29&rft.atitle=Implementation+and+Research+of+Finite+Element+Method+for+Nonlocal+Elasticity+Theory+Problems+in+Julia+Programming+Language&rft.au=Kuvyrkin%2C+G.N.&rft.au=Savelyeva%2C+I.Y.&rft.au=Sokolov%2C+A.A.&rft.au=Cherednichenko%2C+A.V.&rft.date=2023-07-01&rft.pub=IEEE&rft.spage=1&rft.epage=5&rft_id=info:doi/10.1109%2FAMCSM59829.2023.10525707&rft.externalDocID=10525707