Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations
We consider a thermoelastic material with microtemperatures and microconcentrations. The mathematical model is represented by a system of partial differential equations with the coupling of the displacement, temperature, chemical potential, microconcentrations and microtemperatures fields. The process...
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EDP Sciences
2020-01-01
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Online Access: | https://www.itm-conferences.org/articles/itmconf/pdf/2020/04/itmconf_icamnm2020_02001.pdf |
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doaj-e20f8bcf20244ff5b6c5ed8ec418376d2021-04-02T20:26:10ZengEDP SciencesITM Web of Conferences2271-20972020-01-01340200110.1051/itmconf/20203402001itmconf_icamnm2020_02001Spatial behaviour of thermoelasticity with microtemperatures and microconcentrationsChirilă Adina0Marin Marin1Department of Mathematics and Computer Science, Transilvania University of BraşovDepartment of Mathematics and Computer Science, Transilvania University of BraşovWe consider a thermoelastic material with microtemperatures and microconcentrations. The mathematical model is represented by a system of partial differential equations with the coupling of the displacement, temperature, chemical potential, microconcentrations and microtemperatures fields. The processes of heat and mass diffusion play an important role in many engineering applications, such as satellite problems, manufacturing of integrated circuits or oil extractions. We study the spatial behaviour in a prismatic cylinder occupied by an anisotropic and inhomogeneous material. We impose final prescribed data that are proportional, but not identical, to their initial values. Moreover, we have zero body forces and zero lateral boundary conditions. The spatial behaviour is analysed in terms of some cross-sectional integrals of the solution that depend on the axial variable.https://www.itm-conferences.org/articles/itmconf/pdf/2020/04/itmconf_icamnm2020_02001.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chirilă Adina Marin Marin |
spellingShingle |
Chirilă Adina Marin Marin Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations ITM Web of Conferences |
author_facet |
Chirilă Adina Marin Marin |
author_sort |
Chirilă Adina |
title |
Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations |
title_short |
Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations |
title_full |
Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations |
title_fullStr |
Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations |
title_full_unstemmed |
Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations |
title_sort |
spatial behaviour of thermoelasticity with microtemperatures and microconcentrations |
publisher |
EDP Sciences |
series |
ITM Web of Conferences |
issn |
2271-2097 |
publishDate |
2020-01-01 |
description |
We consider a thermoelastic material with microtemperatures and microconcentrations. The mathematical model is represented by a system of partial differential equations with the coupling of the displacement, temperature, chemical potential, microconcentrations and microtemperatures fields. The processes of heat and mass diffusion play an important role in many engineering applications, such as satellite problems, manufacturing of integrated circuits or oil extractions.
We study the spatial behaviour in a prismatic cylinder occupied by an anisotropic and inhomogeneous material. We impose final prescribed data that are proportional, but not identical, to their initial values. Moreover, we have zero body forces and zero lateral boundary conditions. The spatial behaviour is analysed in terms of some cross-sectional integrals of the solution that depend on the axial variable. |
url |
https://www.itm-conferences.org/articles/itmconf/pdf/2020/04/itmconf_icamnm2020_02001.pdf |
work_keys_str_mv |
AT chirilaadina spatialbehaviourofthermoelasticitywithmicrotemperaturesandmicroconcentrations AT marinmarin spatialbehaviourofthermoelasticitywithmicrotemperaturesandmicroconcentrations |
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1721547178585882624 |