A method of two-scale thermo-mechanical analysis for porous solids with micro-scale heat transfer

Computational Mechanics

Volumn 46, Issue 2, 2010, Pages 269-285

  Terada, K ^a   Kurumatani, M ^a   Ushida, T ^a   Kikuchi, N ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Homogenization method; Micro scale heat transfer; Porous solids; Scale effect; Thermo mechanics

Indexed keywords

HEAT TRANSFER; MICROCHANNELS; NUMERICAL METHODS; NUMERICAL MODELS; PORE SIZE; THERMAL EXPANSION;

MACROSCOPIC DEFORMATIONS; MATHEMATICAL HOMOGENIZATION; MICRO-SCALE HEAT TRANSFERS; MULTI-PHYSICS ANALYSIS; POROUS SOLIDS; SCALE EFFECTS; THERMO-MECHANICAL ANALYSIS; THERMO-MECHANICS;

HOMOGENIZATION METHOD;

EID: 77954758866     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0400-9     Document Type: Article

References (23)

1. Bear J (1988) Dynamics of fluids in porous media. Dover, New York.
2. Mezedur M, Kaviany M, Moore W (2004) Effect of pore structure, randomness and size on effective mass diffusivity. AIChE J 48:15-24.
3. Jen TC, Yan TZ (2005) Developing fluid flow and heat transfer in a channel partially filled with porous medium. Int JHeat Mass Transf 48:3995-4009.
4. Xu RN, Jiang PX (2008) Numerical simulation of fluid flow in microporous media. Int J Heat Fluid Flow 29:1447-1455.
5. Benssousan A, Lions JL, Papanicoulau G (1978) Asymptotic analysis for periodic structures. North-Holland, Amsterdam.
6. Sanchez-Palencia E (1980) Non-homogeneous media and vibration theory. Lecture note in physics, vol 127. Springer, Berlin.
7. Devries F, Dumontet H, Duvaut G, Léné F (1989) Homogenization and damage for composite structures. Int J Num Meth Eng 27:285-298.
8. Guedes JM, Kikuchi N (1990) Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element method. Comput Methods Appl Mech Eng 83:143-198.
9. Golanski D, Terada K, Kikuchi N (1997) Macro and micro scale modeling of thermal residual stresses in metal matrix composite surface layers by the homogenization method. Comput Mech 19:188-202.
10. Terada K, Ito T, Kikuchi N (1998) Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method. Comput Methods Appl Mech Eng 153:223-257.
11. Chung PW, Tamma KK (2001) Homogenization of temperature-dependent thermal conductivity in composite materials. AIAA J Thermophys Heat Transf 15:10-17.
12. Laschet G (2002) Homogenization of the thermal properties of transpiration cooled multi-layer plates. Comput Methods Appl Mech Eng 191:4535-4554. (Pubitemid 35206005)
13. Kamiński M (2003) Homogenization of transient heat transfer problems for some composite materials. Int J Eng Sci 41:1-29. (Pubitemid 35432779)
14. Özdemir I, Brekelmans WAM, Geers MGD (2008) Computational homogenization for heat conduction in heterogeneous solids. Int J Num Meth Eng 73:185-204.
15. Zhang HW, Zhang S, Bi JY, Schrefler BA (2007) Thermo-mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach. Int J Num Meth Eng 69:87-113.
16. 2 computational homogenization for the thermo-mechanical analysis of heterogeneous solids. Comput Methods Appl Mech Eng 198:602-613.
17. Terada K, Kikuchi N (2003) Introduction to the method of homogenization. The JSCES lecture note series I, Maruzen, Tokyo (in Japanese).
18. Hornung U (1991) Homogenization and porous media. Springer, New York.
19. Yu Q, Fish J (2002) Multiscale asymptotic homogenization for multiphysics problems with multiple spatial and temporal scales: a coupled thermo-viscoelastic example problem. Int J Solids Struct 39:6429-6452.
20. Zhang H, Zhang S, Gui X, Bi J (2005) Multiple spatial and temporal scales method for numerical simulation of non-classical heat conduction problems: one dimensional case. Int J Solids Struct 42:877-899.
21. Auriault JL (1983) Effective macroscopic description of heat conduction in periodic composites. Int JHeat Mass Transf 26:861-869.
22. Terada K, Kikuchi N (1995) Nonlinear homogenization method for practical applications. In: Ghosh S, Ostoja-Starzewski M(eds) Computational methods in micromechanics. AMD, vol 212/MD, vol 62. AMSE, New York, pp 1-16.
23. Terada K, Kikuchi N (2001) A class of general algorithms for multi-scale analyses of heterogeneous media. Comput Methods Appl Mech Eng 190:5427-5464.