On the second boundary value problem for the system of thermoelasticity with microtemperatures

Year 2025, Volume: 8 Issue: Special Issue: ICCMA, 57 - 67, 16.12.2025

Vita Leonessa , Angelica Malaspina

https://doi.org/10.33205/cma.1800066

Abstract

In this work, we investigate the second BVP (boundary value problem) associated with the linear equilibrium theory of thermoelasticity with microtemperatures. We obtain a solution of the second BVP in terms of a double-layer thermoelastic potential, unlike the results reported in the literature, where a solution is represented by a single-layer thermoelastic potential.

Keywords

Equilibrium theory , thermoelasticity with microtemperatures , boundary value problems , potential theory , integral representations , boundary integral equations.

Project Number

2022SENJZ3

Thanks

The authors acknowledge the support of the Project funded by the European Union - Next Generation EU under the National Recovery and Resilience Plan (NRRP), Mission 4 Component 2 Investment 1.1 - Call for tender PRIN 2022 No. 104 of February, 2 2022 of Italian Ministry of University and Research; Project code: 2022SENJZ3 (subject area: PE - Physical Sciences and Engineering) “Perturbation problems and asymptotics for elliptic differential equations: variational and potential theoretic methods”.

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