On a theory of thermoelasticity with the second gradient of temperature.
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| Title: | On a theory of thermoelasticity with the second gradient of temperature. |
|---|---|
| Authors: | Ieşan, D.1 (AUTHOR) iesan@uaic.ro, Quintanilla, R.2 (AUTHOR) ramon.quintanilla@upc.edu |
| Source: | Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Jun2026, Vol. 77 Issue 6, p1-24. 24p. |
| Subjects: | Thermoelasticity, Calculus of variations, Tensor algebra, Thermal expansion, Thermomechanical properties of metals |
| Abstract: | This paper deals with a linear theory of non-simple thermoelastic materials based on Green–Naghdi thermomechanics. We use an entropy production inequality, a thermal displacement and the entropy flux tensor to establish a theory of thermoelasticity in which the second displacement gradient and the second temperature gradient are included in the classical set of independent constitutive variables. The reciprocity theorem, a variational theorem, a uniqueness and a structural stability result are established. The existence and the impossibility of localization are also investigated. In the equilibrium theory, the deformation of an elastic space with a spherical cavity is studied. [ABSTRACT FROM AUTHOR] |
| Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 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: 194995871 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On a theory of thermoelasticity with the second gradient of temperature. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ieşan%2C+D%2E%22">Ieşan, D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> iesan@uaic.ro</i><br /><searchLink fieldCode="AR" term="%22Quintanilla%2C+R%2E%22">Quintanilla, R.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> ramon.quintanilla@upc.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Zeitschrift+für+Angewandte+Mathematik+und+Physik+%28ZAMP%29%22">Zeitschrift für Angewandte Mathematik und Physik (ZAMP)</searchLink>. Jun2026, Vol. 77 Issue 6, p1-24. 24p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Thermoelasticity%22">Thermoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus+of+variations%22">Calculus of variations</searchLink><br /><searchLink fieldCode="DE" term="%22Tensor+algebra%22">Tensor algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+expansion%22">Thermal expansion</searchLink><br /><searchLink fieldCode="DE" term="%22Thermomechanical+properties+of+metals%22">Thermomechanical properties of metals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper deals with a linear theory of non-simple thermoelastic materials based on Green–Naghdi thermomechanics. We use an entropy production inequality, a thermal displacement and the entropy flux tensor to establish a theory of thermoelasticity in which the second displacement gradient and the second temperature gradient are included in the classical set of independent constitutive variables. The reciprocity theorem, a variational theorem, a uniqueness and a structural stability result are established. The existence and the impossibility of localization are also investigated. In the equilibrium theory, the deformation of an elastic space with a spherical cavity is studied. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 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/s00033-026-02827-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 24 StartPage: 1 Subjects: – SubjectFull: Thermoelasticity Type: general – SubjectFull: Calculus of variations Type: general – SubjectFull: Tensor algebra Type: general – SubjectFull: Thermal expansion Type: general – SubjectFull: Thermomechanical properties of metals Type: general Titles: – TitleFull: On a theory of thermoelasticity with the second gradient of temperature. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ieşan, D. – PersonEntity: Name: NameFull: Quintanilla, R. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00442275 Numbering: – Type: volume Value: 77 – Type: issue Value: 6 Titles: – TitleFull: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Type: main |
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