Thermally nonlinear generalized thermoelasticity: a note on the thermal boundary conditions

The present paper is aimed to make a detail analysis on the correct simulation of the associated natural thermal boundary conditions and their interesting effects on the thermally nonlinear generalized thermoelastic response of a continuum medium. The paper presents some explanations regarding the l...

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Bibliographic Details
Published in:Acta mechanica 2018-02, Vol.229 (2), p.807-826
Main Authors: Bateni, M., Eslami, M. R.
Format: Article
Language:English
Subjects:
Analysis
Boundary conditions
Classical and Continuum Physics
Computer simulation
Conduction heating
Conductive heat transfer
Control
Dynamical Systems
Engineering
Engineering Thermodynamics
Environmental conditions
Heat and Mass Transfer
Heat transfer
Laws, regulations and rules
Nonlinear analysis
Nonlinear equations
Nonlinear response
Original Paper
Solid Mechanics
Theoretical and Applied Mechanics
Thermal conductivity
Thermal energy
Thermoelasticity
Vibration
Wave propagation
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Description
Summary:The present paper is aimed to make a detail analysis on the correct simulation of the associated natural thermal boundary conditions and their interesting effects on the thermally nonlinear generalized thermoelastic response of a continuum medium. The paper presents some explanations regarding the literally conventional thermal boundary conditions associated with Cattaneo’s heat conduction law. The importance of modeling the natural thermal boundary conditions is investigated by applying three practical thermal loads to a homogeneous one-dimensional layer. The results of the investigations are illustrated by propagation of thermoelastic waves through the layers. These results clearly show the profound effects of the correct statement of natural thermal boundary conditions on the thermoelastic response of the layer. It is shown that these effects intensify the importance of thermally nonlinear generalized thermoelastic analyses.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-017-2001-6