Work

On a theory of thermoelasticity with the second gradient of temperature

Year: 2026

Type: article

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.

Source: Zeitschrift für angewandte Mathematik und Physik

DOI: 10.1007/s00033-026-02827-4

Authors: D. Ieşan, R. Quintanilla

Institutions: Alexandru Ioan Cuza University, Romanian Academy, Universitat Politècnica de Catalunya

Language: English

Topic: Thermoelastic and Magnetoelastic Phenomena

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funder: Universitat Politècnica de Catalunya