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Proceedings Paper

Thermodynamic rationale for heat conduction equation and dynamic boundary value problem for piezothermoelastic materials
Author(s): Alexander K. Belyaev
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Paper Abstract

The heat conduction equation and the dynamic boundary value problem for simple piezothermoelastic materials with time- dependent properties are derived directly from the first and second laws of thermodynamics. It is also shown that the conventional form of the heat conduction equation for geometrically nonlinear anisotropic thermoelastic media does not satisfy the principle of material frame indifference. A consistent form of the heat conduction equation is suggested.

Paper Details

Date Published: 4 June 1999
PDF: 9 pages
Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); doi: 10.1117/12.350119
Show Author Affiliations
Alexander K. Belyaev, Johannes Kepler Univ. of Linz (Austria)


Published in SPIE Proceedings Vol. 3667:
Smart Structures and Materials 1999: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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