A study on the principle of maximum dissipation for coupled and non-coupled non-isothermal processes in materials

被引：32
|
作者：
Hackl, Klaus [1 ]
Fischer, Franz Dieter [2 ]
Svoboda, Jiri [3 ]
机构：
[1] Ruhr Univ Bochum, Lehrstuhl Allgemeine Mech, D-44780 Bochum, Germany
[2] Montan Univ Leoben, Inst Mech, A-8700 Leoben, Austria
[3] Acad Sci Czech Republic, Inst Phys Mat, Brno 61662, Czech Republic
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2011年 / 467卷 / 2128期
关键词：
dissipation; coupled processes; variational principles; DIFFUSION; VACANCIES; SINKS;
D O I：
10.1098/rspa.2010.0179
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
引用
收藏
页码：1186 / 1196
页数：11
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