Engineering Mechanics

Proceedings Vol. 29 (2023)

ENGINEERING MECHANICS 2023

Copyright © 2023 Institute of Thermomechanics of the Czech Academy of Sciences, Prague

 

Sladek V., Sladek J.
pages 231 - 234, full text

It is experimentally evident that size-dependent effects are observed in small samples of nano/microscale dimensions. On the other hand, the classical theory of heat conduction is scale invariant. Incorporation of higher-order gradients of primary field variables into constitutive relationships yields a qualitative explanation of size-effects. Study of stationary heat conduction in bi-layer is rather simple 1D problem which can be solved analytically even within the higher-grade theory despite the high-order differential equations. Having known the exact solution, one can get a reliable analysis of size-effects with avoiding any numerical uncertainties. The influence of boundary conditions, material coefficients and geometrical dimensions on the temperature distribution in bi-layer is studied and discussed in this paper.

Ownership of copyright in original research articles remains with the Authors, and provided that, when reproducing parts of the contribution, the Authors acknowledge and/or reference the Proceedings, the Authors do not need to seek permission for re-use of their material.

All papers were reviewed by members of the scientific committee.