Academic Journal
A scaled boundary finite element method and Woodbury formula-based algorithm to solve an inverse heat conduction problem with crack identification.
| Title: | A scaled boundary finite element method and Woodbury formula-based algorithm to solve an inverse heat conduction problem with crack identification. |
|---|---|
| Authors: | Guo, Xiaoqi, Yang, Haitian, He, Yiqian |
| Source: | Engineering Computations; 2025, Vol. 42 Issue 10, p4038-4071, 34p |
| Subject Terms: | Inverse problems, Heat conduction, Finite element method, Metaheuristic algorithms, Failure analysis, Matrix inversion |
| Abstract: | Purpose: The presented work focuses on the crack identification under the Fourier heat conduction framework so as to provide an efficient numerical algorithm to predict potential failure risks induced by cracks. Design/methodology/approach: The identification is conducted by solving a geometric inverse heat conduction problem (IHCP). The forward problem is formulated by SBFEM, which is convenient and efficient to tackle with the crack-induced heat flux singularity. By leveraging SBFEM, a crack can geometrically be represented in a super SBFEM element, and its position can be characterized by sets of coordinates which need to be identified. Findings: The proposed approach is verified via numerical examples, in which cracks either on the boundary or inside the domain can be effectively identified and impacts of noisy data, identification resolution, layout of measurement points, etc. are taken into account. Originality/value: An SBFEM-based geometric representation is presented to characterize edge and internal cracks with sets of representative coordinates. Due to the locality of the crack, a partitioned heat conduction matrix is derived for which only its small part needs to be updated. A Woodbury formula-based algorithm is developed to reduce the solution scale of the inverse heat conduction matrix. Highlights: The crack is assumed to be within a known local region, but without any geometric information, which needs to be determined by solving an IHCP. A SBFEM-based geometric representation is presented to characterize edge and internal cracks with sets of representative coordinates. The crack is formulated in super SBFEM elements, which takes advantage of convenient treatment of crack-induced heat flux singularity. Due to the locality of the crack, a partitioned heat conduction matrix is derived for which only its small part needs to be updated. By virtue of the partitioned matrix, a Woodbury formula-based algorithm is developed to reduce the solution scale of the inverse heat conduction matrix. A metaheuristic optimization algorithm, without the need of crack-related gradient analysis, is employed to solve the inverse problem. [ABSTRACT FROM AUTHOR] |
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| Database: | Complementary Index |
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| Items | – Name: Title Label: Title Group: Ti Data: A scaled boundary finite element method and Woodbury formula-based algorithm to solve an inverse heat conduction problem with crack identification. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Guo%2C+Xiaoqi%22">Guo, Xiaoqi</searchLink><br /><searchLink fieldCode="AR" term="%22Yang%2C+Haitian%22">Yang, Haitian</searchLink><br /><searchLink fieldCode="AR" term="%22He%2C+Yiqian%22">He, Yiqian</searchLink> – Name: TitleSource Label: Source Group: Src Data: Engineering Computations; 2025, Vol. 42 Issue 10, p4038-4071, 34p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Inverse+problems%22">Inverse problems</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+conduction%22">Heat conduction</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Metaheuristic+algorithms%22">Metaheuristic algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Failure+analysis%22">Failure analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+inversion%22">Matrix inversion</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Purpose: The presented work focuses on the crack identification under the Fourier heat conduction framework so as to provide an efficient numerical algorithm to predict potential failure risks induced by cracks. Design/methodology/approach: The identification is conducted by solving a geometric inverse heat conduction problem (IHCP). The forward problem is formulated by SBFEM, which is convenient and efficient to tackle with the crack-induced heat flux singularity. By leveraging SBFEM, a crack can geometrically be represented in a super SBFEM element, and its position can be characterized by sets of coordinates which need to be identified. Findings: The proposed approach is verified via numerical examples, in which cracks either on the boundary or inside the domain can be effectively identified and impacts of noisy data, identification resolution, layout of measurement points, etc. are taken into account. Originality/value: An SBFEM-based geometric representation is presented to characterize edge and internal cracks with sets of representative coordinates. Due to the locality of the crack, a partitioned heat conduction matrix is derived for which only its small part needs to be updated. A Woodbury formula-based algorithm is developed to reduce the solution scale of the inverse heat conduction matrix. Highlights: The crack is assumed to be within a known local region, but without any geometric information, which needs to be determined by solving an IHCP. A SBFEM-based geometric representation is presented to characterize edge and internal cracks with sets of representative coordinates. The crack is formulated in super SBFEM elements, which takes advantage of convenient treatment of crack-induced heat flux singularity. Due to the locality of the crack, a partitioned heat conduction matrix is derived for which only its small part needs to be updated. By virtue of the partitioned matrix, a Woodbury formula-based algorithm is developed to reduce the solution scale of the inverse heat conduction matrix. A metaheuristic optimization algorithm, without the need of crack-related gradient analysis, is employed to solve the inverse problem. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Engineering Computations is the property of Emerald Publishing Limited 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: 10.1108/EC-08-2024-0785 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 34 StartPage: 4038 Subjects: – SubjectFull: Inverse problems Type: general – SubjectFull: Heat conduction Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Metaheuristic algorithms Type: general – SubjectFull: Failure analysis Type: general – SubjectFull: Matrix inversion Type: general Titles: – TitleFull: A scaled boundary finite element method and Woodbury formula-based algorithm to solve an inverse heat conduction problem with crack identification. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Guo, Xiaoqi – PersonEntity: Name: NameFull: Yang, Haitian – PersonEntity: Name: NameFull: He, Yiqian IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 02644401 Numbering: – Type: volume Value: 42 – Type: issue Value: 10 Titles: – TitleFull: Engineering Computations Type: main |
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