A Study on the Principle of Maximum Dissipation for Coupled and Non-Coupled Non-Isothermal Processes in Materials

0363668 - ÚFM 2012 RIV GB eng J - Článek v odborném periodiku
Hackl, K. - Fischer, F. D. - Svoboda, Jiří
A Study on the Principle of Maximum Dissipation for Coupled and Non-Coupled Non-Isothermal Processes in Materials.
Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences. Roč. 467, č. 2128 (2011), s. 1186-1196. ISSN 1364-5021. E-ISSN 1471-2946
Grant CEP: GA MŠMT(CZ) OC10029
Výzkumný záměr: CEZ:AV0Z20410507
Klíčová slova: dissipation * coupled processes * variational principles
Kód oboru RIV: BJ - Termodynamika
Impakt faktor: 1.971, rok: 2011

Onsager’s principle of maximum dissipation (PMD) has proven to be an efficient tool to derive evolution equations for the internal variables describing non-equilibrium processes. However, a rigorous treatment of PMD for several simultaneously acting dissipative processes is still open and presented in this paper. The coupling or uncoupling of the processes is demonstrated via the mathematical structure of the dissipation function. Examples are worked out for plastic deformation and heat flux.
Trvalý link: http://hdl.handle.net/11104/0199394