An approach of a heat-flux dependent theory for micropolar porous media

被引:86
作者
Marin, Marin [1 ]
机构
[1] Transilvania Univ Brasov, Dept Math, Brasov, Romania
关键词
Micropolar; Voids; Thermoelastic body; Heat-flux; THERMOELASTIC MATERIALS; ELASTIC-MATERIALS; VOIDS; STRETCH; BODIES; SOLIDS;
D O I
10.1007/s11012-015-0265-2
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This study is dedicated to a micropolar porous body, including voidage time derivative among the independent constitutive variables. We formulate a heat-flux theory in this context taking into account a new set of state variables that includes the heat-flux vector and an evolution equation for it. The mixed initial boundary value problems have the specific feature that the governing system of equations consists of hyperbolic field equations only. Consistency of the theory is supported by a result of uniqueness.
引用
收藏
页码:1127 / 1133
页数:7
相关论文
共 19 条
[1]   Pore-size dependence of the thermal conductivity of porous silicon: A phonon hydrodynamic approach [J].
Alvarez, F. X. ;
Jou, D. ;
Sellitto, A. .
APPLIED PHYSICS LETTERS, 2010, 97 (03)
[2]  
[Anonymous], 2008, UNDERSTANDING NONEQU
[3]   Different Thermodynamic Theories and Different Heat Conduction Laws [J].
Cimmelli, Vito Antonio .
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2009, 34 (04) :299-332
[4]  
COWIN SC, 1983, J ELASTICITY, V13, P125, DOI 10.1007/BF00041230
[5]   Micropolar mixture theory of porous media [J].
Eringen, AC .
JOURNAL OF APPLIED PHYSICS, 2003, 94 (06) :4184-4190
[6]   Non-linear deformations of porous elastic solids [J].
Iesan, D. ;
Quintanilla, R. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2013, 49 :57-65
[7]   A THEORY OF THERMOELASTIC MATERIALS WITH VOIDS [J].
IESAN, D .
ACTA MECHANICA, 1986, 60 (1-2) :67-89
[8]  
Jou D, 2010, EXTENDED IRREVERSIBLE THERMODYNAMICS, FOURTH EDITION, P1, DOI 10.1007/978-90-481-3074-0
[9]  
Lebon G., 1982, Journal of Technical Physics, V23, P37
[10]   Heat conduction at micro and nanoscales: A review through the prism of Extended Irreversible Thermodynamics [J].
Lebon, Georgy .
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2014, 39 (01) :35-59