Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
