Computational Homogenisation and Identification of Auxetic Structures with Interval Parameters.
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| Title: | Computational Homogenisation and Identification of Auxetic Structures with Interval Parameters. |
|---|---|
| Authors: | Beluch, Witold1 (AUTHOR) witold.beluch@polsl.pl, Hatłas, Marcin2 (AUTHOR), Ptaszny, Jacek1,3 (AUTHOR), Kloc-Ptaszna, Anna1,3 (AUTHOR) |
| Source: | Materials (1996-1944). Oct2025, Vol. 18 Issue 19, p4554. 21p. |
| Subjects: | Auxetic materials, Interval analysis, Multi-objective optimization, Multiscale modeling, Materials analysis, Nonlinear mechanics, Finite element method |
| Abstract: | The subject of this paper is the computational homogenisation and identification of heterogeneous materials in the form of auxetic structures made of materials with nonlinear characteristics. It is assumed that some of the material and topological parameters of the auxetic structures are uncertain and are modelled as interval numbers. Directed interval arithmetic is used to minimise the width of the resulting intervals. The finite element method is employed to solve the boundary value problem, and artificial neural network response surfaces are utilised to reduce the computational effort. In order to solve the identification task, the Pareto approach is adopted, and a multi-objective evolutionary algorithm is used as the global optimisation method. The results obtained from computational homogenisation under uncertainty demonstrate the efficacy of the proposed methodology in capturing material behaviour, thereby underscoring the significance of incorporating uncertainty into material properties. The identification results demonstrate the successful identification of material parameters at the microscopic scale from macroscopic data involving the interval description of the process of deformation of auxetic structures in a nonlinear regime. [ABSTRACT FROM AUTHOR] |
| Copyright of Materials (1996-1944) is the property of MDPI 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188676922 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Computational Homogenisation and Identification of Auxetic Structures with Interval Parameters. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Beluch%2C+Witold%22">Beluch, Witold</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> witold.beluch@polsl.pl</i><br /><searchLink fieldCode="AR" term="%22Hatłas%2C+Marcin%22">Hatłas, Marcin</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ptaszny%2C+Jacek%22">Ptaszny, Jacek</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kloc-Ptaszna%2C+Anna%22">Kloc-Ptaszna, Anna</searchLink><relatesTo>1,3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Materials+%281996-1944%29%22">Materials (1996-1944)</searchLink>. Oct2025, Vol. 18 Issue 19, p4554. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Auxetic+materials%22">Auxetic materials</searchLink><br /><searchLink fieldCode="DE" term="%22Interval+analysis%22">Interval analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Multi-objective+optimization%22">Multi-objective optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Multiscale+modeling%22">Multiscale modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Materials+analysis%22">Materials analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+mechanics%22">Nonlinear mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The subject of this paper is the computational homogenisation and identification of heterogeneous materials in the form of auxetic structures made of materials with nonlinear characteristics. It is assumed that some of the material and topological parameters of the auxetic structures are uncertain and are modelled as interval numbers. Directed interval arithmetic is used to minimise the width of the resulting intervals. The finite element method is employed to solve the boundary value problem, and artificial neural network response surfaces are utilised to reduce the computational effort. In order to solve the identification task, the Pareto approach is adopted, and a multi-objective evolutionary algorithm is used as the global optimisation method. The results obtained from computational homogenisation under uncertainty demonstrate the efficacy of the proposed methodology in capturing material behaviour, thereby underscoring the significance of incorporating uncertainty into material properties. The identification results demonstrate the successful identification of material parameters at the microscopic scale from macroscopic data involving the interval description of the process of deformation of auxetic structures in a nonlinear regime. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Materials (1996-1944) is the property of MDPI 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: 10.3390/ma18194554 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 4554 Subjects: – SubjectFull: Auxetic materials Type: general – SubjectFull: Interval analysis Type: general – SubjectFull: Multi-objective optimization Type: general – SubjectFull: Multiscale modeling Type: general – SubjectFull: Materials analysis Type: general – SubjectFull: Nonlinear mechanics Type: general – SubjectFull: Finite element method Type: general Titles: – TitleFull: Computational Homogenisation and Identification of Auxetic Structures with Interval Parameters. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Beluch, Witold – PersonEntity: Name: NameFull: Hatłas, Marcin – PersonEntity: Name: NameFull: Ptaszny, Jacek – PersonEntity: Name: NameFull: Kloc-Ptaszna, Anna IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19961944 Numbering: – Type: volume Value: 18 – Type: issue Value: 19 Titles: – TitleFull: Materials (1996-1944) Type: main |
| ResultId | 1 |
