View in EDS

Hyper-reduced arc-length algorithm for stability analysis in elastoplasticity.

Saved in:
Bibliographic Details
Title: Hyper-reduced arc-length algorithm for stability analysis in elastoplasticity.
Authors: Launay, H.1 (AUTHOR), Besson, J.1 (AUTHOR), Ryckelynck, D.1 (AUTHOR) david.ryckelynck@mines-paristech.fr, Willot, F.1,2 (AUTHOR)
Source: International Journal of Solids & Structures. Jan2021, Vol. 208, p167-180. 14p.
Subjects: Algorithms, Elastoplasticity, Proper orthogonal decomposition, Ellipses (Geometry), Orthogonal decompositions, Finite element method, Linear systems
Abstract: In this article an "hyper-reduced" scheme for the Crisfield's algorithm (Crisfield, 1981) applied to buckling simulations and plastic instabilities is presented. The two linear systems and the ellipse equation entering the algorithm are projected on a reduced space and solved in a reduced integration domain, resulting in a system of "hyper-reduced" equations. Use is made of the Gappy proper orthogonal decomposition to recover stresses outside the reduced integration domain. Various methods are proposed to construct a reduced bases, making use of simulation data obtained with standard finite element method and a stress-based error criterion for the hyper reduced calculations is proposed. A "greedy" algorithm coupled with this error criterion is used to generate intelligently full standard finite element simulations and enrich the reduced base, demonstrating the adequacy of the error criterion. Finally, numerical results pertaining to elastoplastic structures undergoing finite strains, with emphasis on buckling and limit load predictions are presented. A parametric study on the geometry of the structure is carried out in order to determine the domain of validity of the proposed hyper-reduced modeling approach. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Solids & Structures is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 147527608
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Hyper-reduced arc-length algorithm for stability analysis in elastoplasticity.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Launay%2C+H%2E%22">Launay, H.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Besson%2C+J%2E%22">Besson, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ryckelynck%2C+D%2E%22">Ryckelynck, D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> david.ryckelynck@mines-paristech.fr</i><br /><searchLink fieldCode="AR" term="%22Willot%2C+F%2E%22">Willot, F.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Solids+%26+Structures%22">International Journal of Solids & Structures</searchLink>. Jan2021, Vol. 208, p167-180. 14p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Elastoplasticity%22">Elastoplasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Proper+orthogonal+decomposition%22">Proper orthogonal decomposition</searchLink><br /><searchLink fieldCode="DE" term="%22Ellipses+%28Geometry%29%22">Ellipses (Geometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Orthogonal+decompositions%22">Orthogonal decompositions</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this article an "hyper-reduced" scheme for the Crisfield's algorithm (Crisfield, 1981) applied to buckling simulations and plastic instabilities is presented. The two linear systems and the ellipse equation entering the algorithm are projected on a reduced space and solved in a reduced integration domain, resulting in a system of "hyper-reduced" equations. Use is made of the Gappy proper orthogonal decomposition to recover stresses outside the reduced integration domain. Various methods are proposed to construct a reduced bases, making use of simulation data obtained with standard finite element method and a stress-based error criterion for the hyper reduced calculations is proposed. A "greedy" algorithm coupled with this error criterion is used to generate intelligently full standard finite element simulations and enrich the reduced base, demonstrating the adequacy of the error criterion. Finally, numerical results pertaining to elastoplastic structures undergoing finite strains, with emphasis on buckling and limit load predictions are presented. A parametric study on the geometry of the structure is carried out in order to determine the domain of validity of the proposed hyper-reduced modeling approach. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Solids & Structures is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=147527608
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.ijsolstr.2020.10.014
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 167
    Subjects:
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Elastoplasticity
        Type: general
      – SubjectFull: Proper orthogonal decomposition
        Type: general
      – SubjectFull: Ellipses (Geometry)
        Type: general
      – SubjectFull: Orthogonal decompositions
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Linear systems
        Type: general
    Titles:
      – TitleFull: Hyper-reduced arc-length algorithm for stability analysis in elastoplasticity.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Launay, H.
      – PersonEntity:
          Name:
            NameFull: Besson, J.
      – PersonEntity:
          Name:
            NameFull: Ryckelynck, D.
      – PersonEntity:
          Name:
            NameFull: Willot, F.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Text: Jan2021
              Type: published
              Y: 2021
          Identifiers:
            – Type: issn-print
              Value: 00207683
          Numbering:
            – Type: volume
              Value: 208
          Titles:
            – TitleFull: International Journal of Solids & Structures
              Type: main
ResultId 1