A compressible liquid inclusion of arbitrary shape in a degenerate orthotropic elastic matrix.
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| Title: | A compressible liquid inclusion of arbitrary shape in a degenerate orthotropic elastic matrix. |
|---|---|
| Authors: | Wang, Xu1 (AUTHOR) xuwang@ecust.edu.cn, Schiavone, Peter2 (AUTHOR) p.schiavone@ualberta.ca |
| Source: | Acta Mechanica. Jan2026, Vol. 237 Issue 1, p461-472. 12p. |
| Subjects: | Compressibility (Fluids), Strains & stresses (Mechanics), Equations, Complex variables, Elasticity, Hydrostatic stress, Conformal mapping |
| Abstract: | We use Suo's complex variable formulation to derive a closed-form solution to the plane strain problem of a compressible liquid inclusion of arbitrary shape embedded in an infinite degenerate orthotropic elastic matrix subjected to uniform remote in-plane stresses. The one-to-one mapping function that maps the exterior of the liquid–solid interface onto the exterior of the unit circle in the image plane contains an arbitrary number of terms. Using a varied form of analytic continuation, a set of linear algebraic equations with quite simple structure is obtained. Once the set of linear algebraic equations is solved, the internal uniform hydrostatic stress field within the compressible liquid inclusion and the elastic field in the degenerate orthotropic elastic matrix characterized by a pair of analytic functions are completely determined. [ABSTRACT FROM AUTHOR] |
| Copyright of Acta Mechanica is the property of Springer Nature 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: 190821530 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A compressible liquid inclusion of arbitrary shape in a degenerate orthotropic elastic matrix. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wang%2C+Xu%22">Wang, Xu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xuwang@ecust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Schiavone%2C+Peter%22">Schiavone, Peter</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> p.schiavone@ualberta.ca</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Jan2026, Vol. 237 Issue 1, p461-472. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Compressibility+%28Fluids%29%22">Compressibility (Fluids)</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br /><searchLink fieldCode="DE" term="%22Complex+variables%22">Complex variables</searchLink><br /><searchLink fieldCode="DE" term="%22Elasticity%22">Elasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Hydrostatic+stress%22">Hydrostatic stress</searchLink><br /><searchLink fieldCode="DE" term="%22Conformal+mapping%22">Conformal mapping</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We use Suo's complex variable formulation to derive a closed-form solution to the plane strain problem of a compressible liquid inclusion of arbitrary shape embedded in an infinite degenerate orthotropic elastic matrix subjected to uniform remote in-plane stresses. The one-to-one mapping function that maps the exterior of the liquid–solid interface onto the exterior of the unit circle in the image plane contains an arbitrary number of terms. Using a varied form of analytic continuation, a set of linear algebraic equations with quite simple structure is obtained. Once the set of linear algebraic equations is solved, the internal uniform hydrostatic stress field within the compressible liquid inclusion and the elastic field in the degenerate orthotropic elastic matrix characterized by a pair of analytic functions are completely determined. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Acta Mechanica is the property of Springer Nature 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: 10.1007/s00707-025-04550-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 461 Subjects: – SubjectFull: Compressibility (Fluids) Type: general – SubjectFull: Strains & stresses (Mechanics) Type: general – SubjectFull: Equations Type: general – SubjectFull: Complex variables Type: general – SubjectFull: Elasticity Type: general – SubjectFull: Hydrostatic stress Type: general – SubjectFull: Conformal mapping Type: general Titles: – TitleFull: A compressible liquid inclusion of arbitrary shape in a degenerate orthotropic elastic matrix. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wang, Xu – PersonEntity: Name: NameFull: Schiavone, Peter IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00015970 Numbering: – Type: volume Value: 237 – Type: issue Value: 1 Titles: – TitleFull: Acta Mechanica Type: main |
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