Thermodynamic rationale for heat conduction equation and dynamic boundary value problem for piezothermoelastic materials

Alexander K. Belyaev

doi:10.1117/12.350119

4 June 1999 Thermodynamic rationale for heat conduction equation and dynamic boundary value problem for piezothermoelastic materials

Alexander K. Belyaev

Author Affiliations +

Proceedings Volume 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures; (1999) https://doi.org/10.1117/12.350119
Event: 1999 Symposium on Smart Structures and Materials, 1999, Newport Beach, CA, United States

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.

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Alexander K. Belyaev "Thermodynamic rationale for heat conduction equation and dynamic boundary value problem for piezothermoelastic materials", Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); https://doi.org/10.1117/12.350119

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