Criteria for mesh refinement in nonlocal damage finite element analyses
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| Title: | Criteria for mesh refinement in nonlocal damage finite element analyses |
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| Authors: | Comi, Claudia1, Perego, Umberto umberto.perego@polimi.it |
| Source: | European Journal of Mechanics A: Solids. Jul2004, Vol. 23 Issue 4, p615-632. 18p. |
| Subjects: | Finite element method, Mathematical continuum, Numerical analysis, Metric spaces |
| Abstract: | The strain softening behavior due to the development of damage is well known to produce unrealistic mesh sensitivity in standard finite element applications. In the present paper, a nonlocal continuum damage model is used to regularize the problem. The accuracy of the nonlocal finite element results is assessed introducing a nonlocal error estimator based on the “mechanical error” concept brought about by Ladevèze. To account for the dissipative nature of the problem, a time-step incremental error estimator is also proposed and comparatively tested. It is shown how the obtained information about the error distribution can be used for the accuracy assessment of different meshes. It is also shown how mesh refinement in the late stage of damage growth could be effectively driven by the estimate of the process zone width, based on the analytical derivation of the localization width. [Copyright &y& Elsevier] |
| Copyright of European Journal of Mechanics A: Solids is the property of Elsevier B.V. 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 13292361 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Criteria for mesh refinement in nonlocal damage finite element analyses – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Comi%2C+Claudia%22">Comi, Claudia</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Perego%2C+Umberto%22">Perego, Umberto</searchLink><i> umberto.perego@polimi.it</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Journal+of+Mechanics+A%3A+Solids%22">European Journal of Mechanics A: Solids</searchLink>. Jul2004, Vol. 23 Issue 4, p615-632. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+continuum%22">Mathematical continuum</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Metric+spaces%22">Metric spaces</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The strain softening behavior due to the development of damage is well known to produce unrealistic mesh sensitivity in standard finite element applications. In the present paper, a nonlocal continuum damage model is used to regularize the problem. The accuracy of the nonlocal finite element results is assessed introducing a nonlocal error estimator based on the “mechanical error” concept brought about by Ladevèze. To account for the dissipative nature of the problem, a time-step incremental error estimator is also proposed and comparatively tested. It is shown how the obtained information about the error distribution can be used for the accuracy assessment of different meshes. It is also shown how mesh refinement in the late stage of damage growth could be effectively driven by the estimate of the process zone width, based on the analytical derivation of the localization width. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Journal of Mechanics A: Solids is the property of Elsevier B.V. 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: 10.1016/j.euromechsol.2004.03.006 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 615 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Mathematical continuum Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: Metric spaces Type: general Titles: – TitleFull: Criteria for mesh refinement in nonlocal damage finite element analyses Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Comi, Claudia – PersonEntity: Name: NameFull: Perego, Umberto IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2004 Type: published Y: 2004 Identifiers: – Type: issn-print Value: 09977538 Numbering: – Type: volume Value: 23 – Type: issue Value: 4 Titles: – TitleFull: European Journal of Mechanics A: Solids Type: main |
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