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On a theory of thermoelasticity with the second gradient of temperature.

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Τίτλος: On a theory of thermoelasticity with the second gradient of temperature.
Συγγραφείς: Ieşan, D.1 (AUTHOR) iesan@uaic.ro, Quintanilla, R.2 (AUTHOR) ramon.quintanilla@upc.edu
Πηγή: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Jun2026, Vol. 77 Issue 6, p1-24. 24p.
Θεματικοί όροι: *Thermoelasticity, *Calculus of variations, *Tensor algebra, *Thermal expansion, *Thermomechanical properties of metals
Περίληψη: 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]
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  – Url: https://dx.doi.org/doi:10.1007/s00033-026-02827-4
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  – Url: https://resolver.ebsco.com/c/fiv2js/result?sid=EBSCO:asx&genre=article&issn=00442275&ISBN=&volume=77&issue=6&date=20260601&spage=1&pages=1-24&title=Zeitschrift für Angewandte Mathematik und Physik (ZAMP)&atitle=On%20a%20theory%20of%20thermoelasticity%20with%20the%20second%20gradient%20of%20temperature.&aulast=Ie%C5%9Fan%2C%20D.&id=DOI:10.1007/s00033-026-02827-4
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  Data: On a theory of thermoelasticity with the second gradient of temperature.
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  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>
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  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.
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  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>
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  Label: Abstract
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  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]
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      – Type: doi
        Value: 10.1007/s00033-026-02827-4
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      – Code: eng
        Text: English
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        PageCount: 24
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      – 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
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      – TitleFull: On a theory of thermoelasticity with the second gradient of temperature.
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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