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

页码：1186 / 1196

页数：11

共 50 条

[41] Phase field simulation for non-isothermal solidification of multicomponent alloys coupled with thermodynamics database
Zhang, Shu-zhou
Zhang, Rui-jie
Qu, Xuan-hui
Fang, Wei
Liu, Ming-zhi
TRANSACTIONS OF NONFERROUS METALS SOCIETY OF CHINA, 2013, 23 (08) : 2361 - 2367
[42] Coupled Hydro-Thermal Response of Unsaturated Soils Under Non-isothermal Conditions
Kumar, Arvind
Bidarmaghz, Asal
Khoshghalb, Arman
PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON TRANSPORTATION GEOTECHNICS, VOL 3, ICTG 2024, 2025, 404 : 171 - 178
[43] Coupled precipitation and yield strength modelling for non-isothermal treatments of a 6061 aluminium alloy
Bardel, D.
Perez, M.
Nelias, D.
Deschamps, A.
Hutchinson, C. R.
Maisonnette, D.
Chaise, T.
Gamier, J.
Bourlier, F.
ACTA MATERIALIA, 2014, 62 : 129 - 140
[44] Simulations of coupled non-isothermal soil moisture transport and evaporation fluxes in a forest area
Shao, Wei
Su, Ye
Langhammer, Jakub
JOURNAL OF HYDROLOGY AND HYDROMECHANICS, 2017, 65 (04) : 410 - 425
[45] Non-isothermal reaction-diffusion systems with thermodynamically coupled heat and mass transfer
Demirel, Y
CHEMICAL ENGINEERING SCIENCE, 2006, 61 (10) : 3379 - 3385
[46] An estimation of the magnetic disorder at Fe/Cr interfaces in coupled and non-coupled Fe/Cr multilayers
Almokhtar, M.
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2007, 316 (01) : 40 - 42
[47] Non-isothermal crystallization kinetics of poly(ε-caprolactone) in hydrogen-bond-coupled polymeric-inorganic hybrid materials
Nie, KM
Pang, WM
Zheng, SX
Wang, YS
Lu, F
Zhu, QR
POLYMER INTERNATIONAL, 2005, 54 (02) : 327 - 335
[48] Study of CO2 injection in a depleted oil reservoir using geomechanically coupled and non-coupled simulation models
Sharma, Pushpa
Ghosh, Sayantan
Tandon, Akshay
MATERIALS TODAY-PROCEEDINGS, 2022, 57 : 1805 - 1812
[49] Chemical Non-Isothermal Processes-Stability study and Optimal Control
Bancila, Daniel -Marian
Popescu, Dumitru
Chiriac, Andrei Ioan
Colbu, Stefania-Cristiana
Olteanu, Severus Constantin
Petrescu, Catalin
2021 25TH INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC), 2021, : 18 - 24
[50] VARIATIONAL PRINCIPLES OF CLASSICAL TYPE FOR NON-COUPLED NONSTATIONARY IRREVERSIBLE TRANSPORT PROCESSES WITH CONVECTIVE MOTION AND RELAXATION
SIENIUTYCZ, S
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1977, 20 (11) : 1221 - 1231

← 1 2 3 4 5 →