A coordinate-free variational continuum interface model for thin interphases: Ellipticity and convergence analysis.
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| Title: | A coordinate-free variational continuum interface model for thin interphases: Ellipticity and convergence analysis. |
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| Authors: | Stathas, Alexandros1 (AUTHOR) alexandros.stathas@boku.ac.at, Neuner, Matthias1 (AUTHOR) |
| Source: | International Journal of Engineering Science. Aug2026, Vol. 225, pN.PAG-N.PAG. 1p. |
| Subjects: | Elliptic equations, Continuum mechanics, Mathematical analysis, Engineering simulations, Inhomogeneous materials |
| Abstract: | Thin interphase layers arise in many engineered joints and coatings, yet resolving them with full 3D models is costly and often impractical. This work introduces an elliptic interface model (EGI) that replaces a thin interphase by effective interface conditions while retaining the key kinematics of the original three-body configuration. In contrast to many existing reduced models, the proposed formulation explicitly accounts for displacement-gradient jumps generated around the interphase and is written in a general Cartesian setting, so interfaces at arbitrary orientation can be handled without special treatment. We provide a rigorous derivation of the EGI model, highlight its main differences from available approaches, and show that it preserves ellipticity for all material combinations for which the underlying full model is elliptic. Through a set of convergence analysis studies, we show that the EGI model provides an accurate and stable reduced description of thin interphases, suitable for engineering simulations involving complex interface orientations and strong material contrasts, and offers a practical basis for future extensions to viscoelastic and nonlinear interphase behavior. • We develop a novel Coordinate-Free Variational Continuum Interface Model for Thin Generalized Elliptic Interphases (EGI). • We show that the proposed model preserves ellipticity over a broader range of interphase material properties than existing approaches available in the literature. • We assess the performance of the EGI model in two demanding three-dimensional applications involving shear and torsion. • We demonstrate improved performance of the proposed model compared with related approaches reported in the literature. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Engineering Science 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193659954 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A coordinate-free variational continuum interface model for thin interphases: Ellipticity and convergence analysis. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Stathas%2C+Alexandros%22">Stathas, Alexandros</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alexandros.stathas@boku.ac.at</i><br /><searchLink fieldCode="AR" term="%22Neuner%2C+Matthias%22">Neuner, Matthias</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Engineering+Science%22">International Journal of Engineering Science</searchLink>. Aug2026, Vol. 225, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Elliptic+equations%22">Elliptic equations</searchLink><br /><searchLink fieldCode="DE" term="%22Continuum+mechanics%22">Continuum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+simulations%22">Engineering simulations</searchLink><br /><searchLink fieldCode="DE" term="%22Inhomogeneous+materials%22">Inhomogeneous materials</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Thin interphase layers arise in many engineered joints and coatings, yet resolving them with full 3D models is costly and often impractical. This work introduces an elliptic interface model (EGI) that replaces a thin interphase by effective interface conditions while retaining the key kinematics of the original three-body configuration. In contrast to many existing reduced models, the proposed formulation explicitly accounts for displacement-gradient jumps generated around the interphase and is written in a general Cartesian setting, so interfaces at arbitrary orientation can be handled without special treatment. We provide a rigorous derivation of the EGI model, highlight its main differences from available approaches, and show that it preserves ellipticity for all material combinations for which the underlying full model is elliptic. Through a set of convergence analysis studies, we show that the EGI model provides an accurate and stable reduced description of thin interphases, suitable for engineering simulations involving complex interface orientations and strong material contrasts, and offers a practical basis for future extensions to viscoelastic and nonlinear interphase behavior. • We develop a novel Coordinate-Free Variational Continuum Interface Model for Thin Generalized Elliptic Interphases (EGI). • We show that the proposed model preserves ellipticity over a broader range of interphase material properties than existing approaches available in the literature. • We assess the performance of the EGI model in two demanding three-dimensional applications involving shear and torsion. • We demonstrate improved performance of the proposed model compared with related approaches reported in the literature. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Engineering Science 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.ijengsci.2026.104553 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Elliptic equations Type: general – SubjectFull: Continuum mechanics Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Engineering simulations Type: general – SubjectFull: Inhomogeneous materials Type: general Titles: – TitleFull: A coordinate-free variational continuum interface model for thin interphases: Ellipticity and convergence analysis. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Stathas, Alexandros – PersonEntity: Name: NameFull: Neuner, Matthias IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00207225 Numbering: – Type: volume Value: 225 Titles: – TitleFull: International Journal of Engineering Science Type: main |
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