A variationally consistent generalized variable formulation for enhanced strain finite elements.
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| Title: | A variationally consistent generalized variable formulation for enhanced strain finite elements. |
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| Authors: | Perego, Umberto1 |
| Source: | Communications in Numerical Methods in Engineering. Mar2000, Vol. 16 Issue 3, p151-163. 13p. 1 Diagram, 1 Graph. |
| Subjects: | Finite element method, Numerical analysis, Engineering, Structural analysis (Engineering), Strains & stresses (Mechanics) |
| Abstract: | The so-called enhanced strain finite elements are based on the enrichment of the standard compatible strain field by the introduction of additional, non-compatible strains. This class of elements can be derived starting from a partial Hu–Washizu variational principle. However, since in the original enhanced strain formulation the stress field is eliminated from the formulation, a separate least-squares procedure had to be implemented for a variational derivation of the stress field. A three-field generalized variable approach incorporating strain enhancement is proposed in the present paper within the context of linear elastic structural problems. It is shown how the original two-field enhanced strain method can be naturally recovered by suitably choosing the strain model. For this case a straightforward, but still variationally consistent stress recovery is proposed. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR] |
| Copyright of Communications in Numerical Methods in Engineering is the property of Wiley-Blackwell 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 | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 13440295 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A variationally consistent generalized variable formulation for enhanced strain finite elements. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Perego%2C+Umberto%22">Perego, Umberto</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Communications+in+Numerical+Methods+in+Engineering%22">Communications in Numerical Methods in Engineering</searchLink>. Mar2000, Vol. 16 Issue 3, p151-163. 13p. 1 Diagram, 1 Graph. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering%22">Engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+analysis+%28Engineering%29%22">Structural analysis (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The so-called enhanced strain finite elements are based on the enrichment of the standard compatible strain field by the introduction of additional, non-compatible strains. This class of elements can be derived starting from a partial Hu–Washizu variational principle. However, since in the original enhanced strain formulation the stress field is eliminated from the formulation, a separate least-squares procedure had to be implemented for a variational derivation of the stress field. A three-field generalized variable approach incorporating strain enhancement is proposed in the present paper within the context of linear elastic structural problems. It is shown how the original two-field enhanced strain method can be naturally recovered by suitably choosing the strain model. For this case a straightforward, but still variationally consistent stress recovery is proposed. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Communications in Numerical Methods in Engineering is the property of Wiley-Blackwell 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/(SICI)1099-0887(200003)16:3<151::AID-CNM309>3.0.CO;2-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 151 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Engineering Type: general – SubjectFull: Structural analysis (Engineering) Type: general – SubjectFull: Strains & stresses (Mechanics) Type: general Titles: – TitleFull: A variationally consistent generalized variable formulation for enhanced strain finite elements. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Perego, Umberto IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2000 Type: published Y: 2000 Identifiers: – Type: issn-print Value: 10698299 Numbering: – Type: volume Value: 16 – Type: issue Value: 3 Titles: – TitleFull: Communications in Numerical Methods in Engineering Type: main |
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