ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)||6|
|Section||Applied Mathematics and Numerical Methods|
|Published online||03 December 2020|
Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations
Department of Mathematics and Computer Science, Transilvania University of Braşov, Romania
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.
© The Authors, published by EDP Sciences, 2020
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